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Novel Finite-Time Adaptive Fuzzy Fault-Tolerant Control for Fractional-Order Nonlinear Systems and Its Applications 认领 引用
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作者 Xingxing You Songyi Dian +3 位作者 Bin Guo Quan Xiao Yuqi Zhu Kai Liu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第1期123-136,共14页
To address the finite-time tracking control problem for fractional-order nonlinear systems(FONSs) with actuator faults and external disturbance,a novel strategy of the finite-time adaptive fuzzy fault-tolerant control... To address the finite-time tracking control problem for fractional-order nonlinear systems(FONSs) with actuator faults and external disturbance,a novel strategy of the finite-time adaptive fuzzy fault-tolerant controller is presented in this paper by utilizing the finite-time stability theory and fractional-order dynamic surface control scheme combined with backstepping method.A new lemma is developed for analyzing the finite-time stability of FONSs in terms of fractional differential inequality,which modifies some existing results.Fuzzy logic systems are adopted to identify unknown nonlinear characteristics in FONS.In order to compensate for the influence of unknown external disturbance and estimation error for fuzzy logic systems,an auxiliary function is employed to estimate the upper bound of parameters online.Furthermore,a global coordinate transformation is first introduced initially to decouple the fractional-order dynamic system of a specific class of underactuated single-link flexible manipulator systems,thereby transforming it into lower triangular systems.Simulation analyses and experimental results verify the feasibility and effectiveness of finite-time tracking control algorithm. 展开更多
关键词 Dynamic surface control(DSC) fault-tolerant control(FTC) finite-time stability flexible manipulator fractional-order nonlinear systems(FONSs)
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A Deterministic and Stochastic Fractional-Order Model for Computer Virus Propagation with Caputo-Fabrizio Derivative:Analysis,Numerics,and Dynamics 认领 引用 被引量：1
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作者 Najat Almutairi Mohammed Messaoudi +1 位作者 Faisal Muteb K.Almalki Sayed Saber 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第3期806-843,共38页
This paper introduces a novel fractional-order model based on the Caputo-Fabrizio(CF)derivative for analyzing computer virus propagation in networked environments.The model partitions the computer population into four... This paper introduces a novel fractional-order model based on the Caputo-Fabrizio(CF)derivative for analyzing computer virus propagation in networked environments.The model partitions the computer population into four compartments:susceptible,latently infected,breaking-out,and antivirus-capable systems.By employing the CF derivative—which uses a nonsingular exponential kernel—the framework effectively captures memory-dependent and nonlocal characteristics intrinsic to cyber systems,aspects inadequately represented by traditional integer-order models.Under Lipschitz continuity and boundedness assumptions,the existence and uniqueness of solutions are rigorously established via fixed-point theory.We develop a tailored two-step Adams-Bashforth numerical scheme for the CF framework and prove its second-order accuracy.Extensive numerical simulations across various fractional orders reveal that memory effects significantly influence virus transmission and control dynamics;smaller fractional orders produce more pronounced memory effects,delaying both infection spread and antivirus activation.Further theoretical analysis,including Hyers-Ulam stability and sensitivity assessments,reinforces the model’s robustness and identifies key parameters governing virus dynamics.The study also extends the framework to incorporate stochastic effects through a stochastic CF formulation.These results underscore fractional-order modeling as a powerful analytical tool for developing robust and effective cybersecurity strategies. 展开更多
关键词 Caputo-Fabrizio derivative fractional-order computer virus model stochastic fractional dynamics Adams-Bashforth scheme Hyers-Ulam stability sensitivity analysis cyber-epidemiology memory effects nonsingular kernel
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Predefined-time consensus control of fractional-order multiagent systems with output constraints and event-triggered 认领 引用
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作者 Luyao Zhao Wenshan Bi +1 位作者 Shuai Sui C.L.Philip Chen 《Control Theory and Technology》 EI CSCD 2026年第3期346-358,共13页
This article investigates the adaptive neural network predefined-time consensus control problem for fractional-order multiagent systems(MASs)with output constraints.Due to the unknown nonlinear dynamics and unmeasurab... This article investigates the adaptive neural network predefined-time consensus control problem for fractional-order multiagent systems(MASs)with output constraints.Due to the unknown nonlinear dynamics and unmeasurable states in fractional-order MASs,neural networks are employed to identify the unknown nonlinear functions,and the neural network state observers are designed to estimate the unmeasurable states.In addition,a predefined-time stabilization criterion for fractional-order MASs is introduced.The barrier Lyapunov function is introduced to address the output constraint problem,and an event-triggered mechanism with a switching threshold is proposed to conserve communication resources.Then,by combining the fractional-order dynamic surface control design approach with predefined-time theory,an adaptive predefined-time control scheme based on event-triggered control is proposed.Finally,it is demonstrated that the controlled system achieves semi-global practical predefined-time stability(SGPPTS),with all signals remaining bounded.The effectiveness of the proposed theory and method is demonstrated through simulation results. 展开更多
关键词 Fractional-order multiagent systems Dynamic surface control Output constraint Predefined-time stability Event-triggered strategy
Chaos and complexity in a cardiac pacemaker model with incommensurate fractional-order dynamics:Empirical validation and cardiovascular implications 认领 引用
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作者 Haneche Nabil Hamaizia Tayeb 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第7期852-863,共12页
The dynamics of heart rhythms plays a pivotal role in physiological health,where chaotic behavior is often associated with pathological cardiac states.In this work,we investigate a fractional-order model of cardiac pa... The dynamics of heart rhythms plays a pivotal role in physiological health,where chaotic behavior is often associated with pathological cardiac states.In this work,we investigate a fractional-order model of cardiac pacemaker dynamics using incommensurate derivatives to capture the complex memory effects and non-local interactions inherent in biological systems.We demonstrate that slight variations in the fractional orders induce rich dynamics,including chaos and coexisting attractors,signifying transitions between normal and dysfunctional rhythms.Crucially,our model exhibits wider chaotic regions than classical integer-order counterparts when the incommensurate derivatives are perturbed.Furthermore,we reveal pronounced multistability,where distinct chaotic attractors coexist under identical parameters,reflecting the system's capacity for abrupt transitions between physiological and pathological states.These findings advance the mechanistic understanding of rhythm disorders and highlight the critical role of fractional calculus in modeling cardiac dynamics. 展开更多
关键词 cardiac pacemaker model incommensurate fractional-order rhythm dynamics chaos bistability
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Nussbaum-based fractional-order sliding-mode fault-tolerant cooperative control of multiple UAVs with event-triggered mechanism 认领 引用
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作者 Ruifeng ZHOU Ziquan YU Youmin ZHANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第2期442-455,共14页
To solve the problem of in-flight actuator faults and parameter uncertainties for multiple Unmanned Aerial Vehicles(UAVs),and reduce the communication and computational resource consumption of multiple UAVs,a Fraction... To solve the problem of in-flight actuator faults and parameter uncertainties for multiple Unmanned Aerial Vehicles(UAVs),and reduce the communication and computational resource consumption of multiple UAVs,a Fraction-Order(FO)sliding-mode Fault-Tolerant Cooperative Control(FTCC)strategy is proposed for multiple UAVs based on Event-Triggered Communication Mechanism(ET-COM-M)and Event-Triggered Control Mechanism(ET-CON-M).First,by considering the limited communication bandwidth of multiple UAVs in formation,an ET-COM-M is designed to significantly reduce communication times.Then,a distributed observer is skillfully constructed to estimate the reference signals for follower UAVs.Moreover,the adaptive strategy is incorporated into the Radial Basis Function Neural Network(RBFNN)to learn the lumped unknown terms for handling bias actuator faults and parameter uncertainties.Besides,the Nussbaum method is used to deal with the loss-of-effectiveness faults.To further achieve the refined control performance against faults,FO calculus is artfully integrated into the sliding-mode control protocol with ET-CON-M.Finally,Zeno behavior is excluded by rigorous theoretical analysis and Lyapunov stability is proved to show the effectiveness of the designed FTCC strategy.Simulation results show that the designed FTCC strategy with Event-Triggered Mechanism(ETM)can guarantee the safety of multiple UAVs and simultaneously reduce the communication and control frequencies,making the developed control scheme applicable in engineering. 展开更多
关键词 Event-triggered communication Event-triggered control Fault tolerance Fault-tolerant cooperative control Fractional-order control Multiple unmanned aerial vehicles
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Creep constitutive model for damaged soft rock based on fractional-order nonlinear theory 认领 引用 被引量：1
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作者 BAO Min ZHOU Zihan +1 位作者 CHEN Zhonghui ZHANG Lingfei 《Journal of Mountain Science》 SCIE CSCD 2025年第6期2276-2290,共15页
Investigating the combined effects of mining damage and creep damage on slope stability is crucial,as it can comprehensively reveal the non-linear deformation characteristics of rock under their joint influence.This s... Investigating the combined effects of mining damage and creep damage on slope stability is crucial,as it can comprehensively reveal the non-linear deformation characteristics of rock under their joint influence.This study develops a fractional-order nonlinear creep constitutive model that incorporates the double damage effect and implements a non-linear creep subroutine for soft rock using the threedimensional finite difference method on the FLAC3D platform.Comparative analysis of the theoretical,numerical,and experimental results reveals that the fractional-order constitutive model,which incorporates the double damage effect,accurately reflects the distinct deformation stages of green mudstone during creep failure and effectively captures the non-linear deformation in the accelerated creep phase.The numerical results show a fitting accuracy exceeding 97%with the creep test curves,significantly outperforming the 61%accuracy of traditional creep models. 展开更多
关键词 Mining damage Creep damage Fractional-order Constitutive model Secondary development
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Enhanced Fractional-Order Nonsingular Terminal Sliding Mode Control for Fully Submerged Hydrofoil Craft with Actuator Saturation 认领 引用 被引量：1
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作者 Hongmin Niu Shiquan Zhao +1 位作者 Cristina I.Muresan Clara Mihaela Ionescu 《哈尔滨工程大学学报（英文版）》 CSCD 2025年第6期1264-1278,共15页
This study introduces an enhanced adaptive fractional-order nonsingular terminal sliding mode controller(AFONTSMC)tailored for stabilizing a fully submerged hydrofoil craft(FSHC)under external disturbances,model uncer... This study introduces an enhanced adaptive fractional-order nonsingular terminal sliding mode controller(AFONTSMC)tailored for stabilizing a fully submerged hydrofoil craft(FSHC)under external disturbances,model uncertainties,and actuator saturation.A novel nonlinear disturbance observer modified by fractional-order calculus is proposed for flexible and less conservative estimation of lumped disturbances.An enhanced adaptive fractional-order nonsingular sliding mode scheme augmented by disturbance estimation is also introduced to improve disturbance rejection.This controller design only necessitates surpassing the estimation error rather than adhering strictly to the disturbance upper bound.Additionally,an adaptive fast-reaching law with a hyperbolic tangent function is incorporated to enhance the responsiveness and convergence rates of the controller,thereby reducing chattering.Furthermore,an auxiliary actuator compensator is developed to address saturation effects.The resultant closed system of the FSHC with the designed controller is globally asymptotically stable. 展开更多
关键词 Fully submerged hydrofoil craft Longitudinal motion control Fractional-order terminal sliding mode control Disturbance observer Saturation compensation
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Size-dependent bending and vibration analysis of piezoelectric nanobeam based on fractional-order kinematic relations 认领 引用
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作者 Zhiwen FAN Hai QING 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2025年第7期1261-1272,I0003-I0011,共12页
In this paper,a fractional-order kinematic model is utilized to capture the size-dependent static bending and free vibration responses of piezoelectric nanobeams.The general nonlocal strains in the Euler-Bernoulli pie... In this paper,a fractional-order kinematic model is utilized to capture the size-dependent static bending and free vibration responses of piezoelectric nanobeams.The general nonlocal strains in the Euler-Bernoulli piezoelectric beam are defined by a frame-invariant and dimensionally consistent Riesz-Caputo fractional-order derivatives.The strain energy,the work done by external loads,and the kinetic energy based on the fractional-order kinematic model are derived and expressed in explicit forms.The boundary conditions for the nonlocal Euler-Bernoulli beam are derived through variational principles.Furthermore,a finite element model for the fractional-order system is developed in order to obtain the numerical solutions to the integro-differential equations.The effects of the fractional order and the vibration order on the static bending and vibration responses of the Euler-Bernoulli piezoelectric beams are investigated numerically.The results from the present model are validated against the existing results in the literature,and it is demonstrated that they are theoretically consistent.Although this fractional finite element method(FEM)is presented in the context of a one-dimensional(1D)beam,it can be extended to higher dimensional fractional-order boundary value problems. 展开更多
关键词 scale effect Riesz-Caputo fractional-order derivative Euler-Bernoulli piezoelectric beam fractional-order¯nite element method(FEM)
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A Hybrid Machine Learning and Fractional-Order Dynamical Framework for Multi-Scale Prediction of Breast Cancer Progression 认领 引用 被引量：1
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作者 David Amilo Khadijeh Sadri +1 位作者 Evren Hincal Mohamed Hafez 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第11期2189-2222,共34页
Breast cancer’s heterogeneous progression demands innovative tools for accurate prediction.We present a hybrid framework that integrates machine learning(ML)and fractional-order dynamics to predict tumor growth acros... Breast cancer’s heterogeneous progression demands innovative tools for accurate prediction.We present a hybrid framework that integrates machine learning(ML)and fractional-order dynamics to predict tumor growth across diagnostic and temporal scales.On the Wisconsin Diagnostic Breast Cancer dataset,seven ML algorithms were evaluated,with deep neural networks(DNNs)achieving the highest accuracy(97.72%).Key morphological features(area,radius,texture,and concavity)were identified as top malignancy predictors,aligning with clinical intuition.Beyond static classification,we developed a fractional-order dynamical model using Caputo derivatives to capture memory-driven tumor progression.The model revealed clinically interpretable patterns:lower fractional orders correlated with prolonged aggressive growth,while higher orders indicated rapid stabilization,mimicking indolent subtypes.Theoretical analyses were rigorously proven,and numerical simulations closely fit clinical data.The framework’s clinical utility is demonstrated through an interactive graphics user interface(GUI)that integrates real-time risk assessment with growth trajectory simulations. 展开更多
关键词 Machine learning fractional-order breast cancer physiological dynamics maternal health preventable deaths
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Synchronization of a fractional-order chaotic memristive system and its application to secure image transmission 认领 引用
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作者 Lamia Chouchane Hamid Hamiche +2 位作者 Karim Kemih Ouerdia Megherbi Karim Labadi 《Chinese Physics B》 SCIE EI CAS CSCD 2025年第12期174-191,共18页
The dynamics of chaotic memristor-based systems offer promising potential for secure communication.However,existing solutions frequently suffer from drawbacks such as slow synchronization,low key diversity,and poor no... The dynamics of chaotic memristor-based systems offer promising potential for secure communication.However,existing solutions frequently suffer from drawbacks such as slow synchronization,low key diversity,and poor noise resistance.To overcome these issues,a novel fractional-order chaotic system incorporating a memristor emulator derived from the Shinriki oscillator is proposed.The main contribution lies in the enhanced dynamic complexity and flexibility of the proposed architecture,making it suitable for cryptographic applications.Furthermore,the feasibility of synchronization to ensure secure data transmission is demonstrated through the validation of two strategies:an active control method ensuring asymptotic convergence,and a finite-time control method enabling faster stabilization.The robustness of the scheme is confirmed by simulation results on a color image:χ2=253/237/267(R/G/B);entropy≈7.993;correlations between adjacent pixels in all directions are close to zero(e.g.,-0.0318 vertically);and high number of pixel change rate and unified average changing intensity(e.g.,33.40%and 99.61%,respectively).Peak signal-to-noise ratio analysis shows that resilience to noise and external disturbances is maintained.It is shown that multiple fractional orders further enrich the chaotic behavior,increasing the systems suitability for secure communication in embedded environments.These findings highlight the relevance of fractional-order chaotic memristive systems for lightweight secure transmission applications. 展开更多
关键词 memristor fractional-order chaotic system synchronization finite-time control active control cryptography secure communications
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Effects of potential field delay and coupling delay on collective behavior of a fractional-order coupled system in a dichotomous fluctuating potential 认领 引用
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作者 Yangfan Zhong Xi Chen +1 位作者 Maokang Luo Tao Yu 《Chinese Physics B》 SCIE EI CAS CSCD 2025年第5期270-287,共18页
The collective dynamic of a fractional-order globally coupled system with time delays and fluctuating frequency is investigated.The power-law memory of the system is characterized using the Caputo fractional derivativ... The collective dynamic of a fractional-order globally coupled system with time delays and fluctuating frequency is investigated.The power-law memory of the system is characterized using the Caputo fractional derivative operator.Additionally,time delays in the potential field force and coupling force transmission are both considered.Firstly,based on the delay decoupling formula,combined with statistical mean method and the fractional-order Shapiro–Loginov formula,the“statistic synchronization”among particles is obtained,revealing the statistical equivalence between the mean field behavior of the system and the behavior of individual particles.Due to the existence of the coupling delay,the impact of the coupling force on synchronization exhibits non-monotonic,which is different from the previous monotonic effects.Then,two kinds of theoretical expression of output amplitude gains G and G are derived by time-delay decoupling formula and small delay approximation theorem,respectively.Compared to G,G is an exact theoretical solution,which means that G is not only more accurate in the region of small delay,but also applies to the region of large delay.Finally,the study of the output amplitude gain G and its resonance behavior are explored.Due to the presence of the potential field delay,a new resonance phenomenon termed“periodic resonance”is discovered,which arises from the periodic matching between the potential field delay and the driving frequency.This resonance phenomenon is analyzed qualitatively and quantitatively,uncovering undiscovered characteristics in previous studies. 展开更多
关键词 potential field delay coupling delay fractional-order collective behavior
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Asymptotic Stability of RLC Systems with Fractional-order and Time Delay 认领 引用
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作者 HAO Yuliang GUO Yu LIU Yicheng 《数学理论与应用》 2025年第4期60-72,共13页
This paper presents a systematic study on the modeling and stability analysis of fractional-order cascaded RLC networks with time delays.A generalized model of an n-stage cascaded RLC network with time delays is devel... This paper presents a systematic study on the modeling and stability analysis of fractional-order cascaded RLC networks with time delays.A generalized model of an n-stage cascaded RLC network with time delays is developed using the Caputo fractional derivative.The corresponding fractional-order differential equations are derived for both single-stage(n=1)and two-stage(n=2)configurations.The transcendental characteristic equation of the system is obtained via Laplace transform.By applying the Matignon stability criterion,asymptotic stability conditions are established for systems with and without time delays.It is shown that stability in the delay-free case depends mainly on the fractional orderα,whereas in the presence of time delays,stability is independent ofαand instead governed by the delay parameter τ.Notably,the critical delay threshold τmax for system stability is derived analytically.A detailed numerical study(Table Ⅰ)further elucidates the effects of key parameters,including the resistance R,inductance L,capacitance C,fractional orderα,and time delayτon the stability behavior.This study provides a theoretical basis and practical design guidelines for tuning parameters to ensure stability in fractional-order circuits with time delays. 展开更多
关键词 Fractional-order system Time-delay circuit Cascaded RLC network
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Distributed Adaptive Cooperative Tracking of Uncertain Nonlinear Fractional-order Multi-agent Systems 认领 引用 被引量：18
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作者 Zhitao Li Lixin Gao +1 位作者 Wenhai Chen Yu Xu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第1期292-300,共9页
In this paper, the leader-following tracking problem of fractional-order multi-agent systems is addressed. The dynamics of each agent may be heterogeneous and has unknown nonlinearities. By assumptions that the intera... In this paper, the leader-following tracking problem of fractional-order multi-agent systems is addressed. The dynamics of each agent may be heterogeneous and has unknown nonlinearities. By assumptions that the interaction topology is undirected and connected and the unknown nonlinear uncertain dynamics can be parameterized by a neural network, an adaptive learning law is proposed to deal with unknown nonlinear dynamics, based on which a kind of cooperative tracking protocols are constructed. The feedback gain matrix is obtained to solve an algebraic Riccati equation. To construct the fully distributed cooperative tracking protocols, the adaptive law is also adopted to adjust the coupling weight. With the developed control laws,we can prove that all signals in the closed-loop systems are guaranteed to be uniformly ultimately bounded. Finally, a simple simulation example is provided to illustrate the established result. 展开更多
关键词 Adaptive control consensus distributed control fractional-order systems multi-agent system
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Image encryption based on a delayed fractional-order chaotic logistic system 认领 引用 被引量：12
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作者 王震 黄霞 +1 位作者 李宁 宋晓娜 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第5期107-112,共6页
A new image encryption scheme is proposed based on a delayed fractional-order chaotic logistic system.In the process of generating a key stream,the time-varying delay and fractional derivative are embedded in the prop... A new image encryption scheme is proposed based on a delayed fractional-order chaotic logistic system.In the process of generating a key stream,the time-varying delay and fractional derivative are embedded in the proposed scheme to improve the security.Such a scheme is described in detail with security analyses including correlation analysis,information entropy analysis,run statistic analysis,mean-variance gray value analysis,and key sensitivity analysis.Experimental results show that the newly proposed image encryption scheme possesses high security. 展开更多
关键词 image encryption fractional-order chaotic logistic system delay
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Circuit implementation of a new hyperchaos in fractional-order system 认领 引用 被引量：15
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作者 刘崇新 刘凌 《Chinese Physics B》 SCIE EI CAS 2008年第8期2829-2836,共8页
This paper introduces a new four-dimensional （4D） hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then in... This paper introduces a new four-dimensional （4D） hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincare mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6. 展开更多
关键词 hyperchaotic system fractional-order system integer-order chaotic circuit fractional-order circuit
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Impulsive synchronisation of a class of fractional-order hyperchaotic systems 认领 引用 被引量：17
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作者 王兴元 张永雷 +1 位作者 林达 张娜 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第3期88-94,共7页
In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems＇ impulsive synchronisat... In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems＇ impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme. 展开更多
关键词 hyperchaotic systems fractional-order hyperchaotic systems impulsive synchronization
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Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller 认领 引用 被引量：4
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作者 陈帝伊 张润凡 +1 位作者 马孝义 王娟 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第12期135-140,共6页
In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integer- order chaotic system, in this paper we investigate the synchronization between a class of fractional-... In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integer- order chaotic system, in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method. Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus. Moreover, three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results. Finally, results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems. 展开更多
关键词 synchronization fractional-order system integer-order chaotic system sliding mode
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Comparison between two different sliding mode controllers for a fractional-order unified chaotic system 认领 引用 被引量：10
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作者 齐冬莲 王乔 杨捷 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第10期150-158,共9页
Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterp... Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system. 展开更多
关键词 unified chaotic system fractional-order system sliding mode control
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Ghost images reconstructed from fractional-order moments with thermal light 认领 引用 被引量：5
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作者 De-Zhong Cao Qing-Chen Li +3 位作者 Xu-Cai Zhuang Cheng Ren Su-Heng Zhang Xin-Bing Song 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第12期238-243,共6页
We present the joint probability density function(PDF) between the bucket signals and reference signals in thermal light ghost imaging, by regarding these signals as stochastic variables. The joint PDF allows us to ex... We present the joint probability density function(PDF) between the bucket signals and reference signals in thermal light ghost imaging, by regarding these signals as stochastic variables. The joint PDF allows us to examine the fractional-order moments of the bucket and the reference signals, in which the correlation orders are fractional numbers,other than positive integers in previous studies. The experimental results show that various images can be reconstructed from fractional-order moments. Negative(positive) ghost images are obtained with negative(positive) orders of the bucket signals. The visibility and peak signal-to-noise ratios of the diverse ghost images depend greatly on the fractional orders. 展开更多
关键词 ghost imaging intensity correlation function fractional-order moments
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Synchronization of the fractional-order generalized augmented L u¨system and its circuit implementation 认领 引用 被引量：8
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作者 薛薇 徐进康 +1 位作者 仓诗建 贾红艳 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第6期82-89,共8页
In this paper, the synchronization of the fractional-order generalized augmented Lti system is investigated. Based on the predictor--corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent... In this paper, the synchronization of the fractional-order generalized augmented Lti system is investigated. Based on the predictor--corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincar6 maps of the fractional-order system and find that a four-wing chaotic attractor exists in the system when the system pa- rameters change within certain ranges. Further, by varying the system parameters, rich dynamical behaviors occur in the 2.7-order system. According to the stability theory of a fractional-order linear system, and adopting the linearization by feedback method, we have designed a nonlinear feedback controller in our theoretical analysis to implement the synchro- nization of the drive system with the response system. In addition, the synchronization is also shown by an electronic circuit implementation for the 2.7-order system. The obtained experiment results accord with the theoretical analyses, which further demonstrate the feasibility and effectiveness of the proposed synchronization scheme. 展开更多
关键词 fractional-order generalized augmented Lii system nonlinear feedback synchronization numericalsimulation circuit design
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