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Analysis and Application of a Discrete-Time Neurodynamic Approach for Fast Constrained l_1-Norm Minimization 认领 引用
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作者 Youshen Xia Jun Wang Changyin Sun 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第3期597-610,共14页
Discrete-time neurodynamic approaches(also called recurrent neural networks(RNNs))are easily implemented on software and simulated on digital circuits.First,this paper proposes two modified discrete-time RNNs for quic... Discrete-time neurodynamic approaches(also called recurrent neural networks(RNNs))are easily implemented on software and simulated on digital circuits.First,this paper proposes two modified discrete-time RNNs for quickly dealing with constrained l 1-norm minimization problems.Next,the two modified discrete-time RNNs are proven to be globally convergent to an optimal solution under a large step size.Finally,we apply the obtained results for image recovery.Two convergent discrete-time RNN based algorithms for non-blind image restoration are presented.Due to having a low complexity,the two discrete-time RNNs are more computationally efficient than the existing discrete-time RNN for image restoration.Computed results with application examples show that the two discrete-time RNN-based algorithms are indeed superior to the existing discrete-time RNNbased algorithms with regards to computation time. 展开更多
关键词 Index Terms—Constrained the l1-norm minimization convergence analysis discrete-time neurodynamic approach fixed step length image recovery
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Accumulative-Error-Based Event-Triggered Control for Discrete-Time Linear Systems:A Discrete-Time Looped Functional Method 认领 引用 被引量：4
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作者 Xian-Ming Zhang Qing-Long Han +1 位作者 Xiaohua Ge Bao-Lin Zhang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2025年第4期683-693,共11页
This paper is concerned with event-triggered control of discrete-time systems with or without input saturation.First,an accumulative-error-based event-triggered scheme is devised for control updates.When the accumulat... This paper is concerned with event-triggered control of discrete-time systems with or without input saturation.First,an accumulative-error-based event-triggered scheme is devised for control updates.When the accumulated error between the current state and the latest control update exceeds a certain threshold,an event is triggered.Such a scheme can ensure the event-generator works at a relatively low rate rather than falls into hibernation especially after the system steps into its steady state.Second,the looped functional method for continuous-time systems is extended to discrete-time systems.By introducing an innovative looped functional that links the event-triggered scheme,some sufficient conditions for the co-design of control gain and event-triggered parameters are obtained in terms of linear matrix inequalities with a couple of tuning parameters.Then,the proposed method is applied to discrete-time systems with input saturation.As a result,both suitable control gains and event-triggered parameters are also co-designed to ensure the system trajectories converge to the region of attraction.Finally,an unstable reactor system and an inverted pendulum system are given to show the effectiveness of the proposed method. 展开更多
关键词 Discrete-time linear systems event-triggered control input saturation looped functional method
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Qualitative Analysis and Numerical Simulation of a Predator-Prey Model for Invertebrate Predators in Aquatic Population Ecosystem 认领 引用
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作者 WANG Lijuan JIANG Hongling +3 位作者 HE Jinchan ZHAO Qi JING Miaomiao ZHAO Jihong 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2026年第2期101-111,共11页
The predation mechanism of invertebrates(e.g.,Tortanus dextrilobatus)on plankton in aquatic population ecosystem is a significant research topic.In this paper,the interaction between invertebrates and plankton is simu... The predation mechanism of invertebrates(e.g.,Tortanus dextrilobatus)on plankton in aquatic population ecosystem is a significant research topic.In this paper,the interaction between invertebrates and plankton is simulated by a modified Leslie-Gower predator-prey model.Using the theory of reaction-diffusion equations,a priori estimate,existence,uniqueness and stability conditions of the positive steady state solution are established.Furthermore,numerical simulations are conducted to quantitatively analyze the dynamical behavior.The research shows that as long as the Allee effect constant satisfies the appropriate relationship and the growth rates of predator and prey are appropriately large,the predator and prey can not only coexist,but also the coexistence mode is unique and stable under low predation-rate.In addition,the numerical simulations show that the coexistence may be stable under high predation-rate.Meanwhile,with the increase of predation rate,the population density of predators will decrease. 展开更多
关键词 predator-prey model aquatic population ecosystem Allee effect Ivlev functional response positive steady-state solutions numerical simulation
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Adaptive Discrete-Time Sliding Mode Control Applied to the Pitch Motion of a Micro Air Vehicle with Flapping Wings 认领 引用 被引量：1
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作者 Joshua Hill Farbod Fahimi +1 位作者 Chang-kwon Kang Hikaru Aono 《Journal of Bionic Engineering》 SCIE EI CSCD 2025年第2期585-595,共11页
A robust Adaptive Discrete-time Sliding Mode Controller (ADSMC) is formulated, and is applied to control the pitch motion of a simulated Flapping-Wing Micro Air Vehicle (FWMAV). There is great potential for FWMAVs to ... A robust Adaptive Discrete-time Sliding Mode Controller (ADSMC) is formulated, and is applied to control the pitch motion of a simulated Flapping-Wing Micro Air Vehicle (FWMAV). There is great potential for FWMAVs to be used as aerial tools to assist with gathering data and surveying environments. Thanks to modern manufacturing and technology, along with an increased comprehension behind the aerodynamics of wing flaps, these vehicles are now a reality, though not without limitations. Given their diminutive size, FWMAVs are susceptible to real-world disturbances, such as wind gusts, and are sensitive to particular variations in their build quality. While external forces such as wind gusts can be reasonably bounded, the unknown variations in the state may be difficult to characterize or bound without affecting performance. To address these problems, an ADSMC is developed. First, the FWMAV model is converted from continuous-time to discrete-time. Second, an ADSMC for the newly discretized FWMAV model is developed. Using this controller, the trajectory tracking performance of the FWMAV is assessed against a traditional discrete sliding mode controller, and is found to have a decreased chattering frequency and decreased control effort for the same task. Therefore, the ADSMC is assessed as the superior controller, despite being completely unaware of the model parameters or wind gust. 展开更多
关键词 Discrete-time sliding-mode control Adaptive sliding-mode control Flapping-wing micro air vehicles Wind gust
Dynamics in a Discrete-time Predator-prey System with Allee Effect 认领 引用 被引量：7
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作者 Xian-wei Chen Xiang-ling Fu Zhu-jun Jing 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第1期143-164,共22页
In this paper, dynamics of the discrete-time predator-prey system with Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using the center man... In this paper, dynamics of the discrete-time predator-prey system with Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using the center manifold theorem and bifurcation theory, and then further illustrated by numerical simulations. Chaos in the sense of Marotto is proved by both analytical and numerical methods. Numerical simulations included bifurcation diagrams, Lyapunov exponents, phase portraits, fractal dimensions display new and rich dynamical behavior. More specifically, apart from stable dynamics, this paper presents the finding of chaos in the sense of Marotto together with a host of interesting phenomena connected to it. The analytic results and numerical simulations demostrates that the Allee constant plays a very important role for dynamical behavior. The dynamical behavior can move from complex instable states to stable states as the Allee constant increases （within a limited value）. Combining the existing results in the current literature with the new results reported in this paper, a more complete understanding of the discrete-time predator-prey with Allee effect is given. 展开更多
关键词 Predator-prey System Allee effect flip bifurcation Hopf bifurcation Marotto＇s chaos transientchaos invariant circle periodic window
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Complex Dynamics in a Discrete-time Predator-prey System without Allee Effect 认领 引用 被引量：1
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作者 Xian-wei CHEN Xiang-ling FU ZHU-JUN JING 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第2期355-376,共22页
In this paper, complex dynamics of the discrete-time predator-prey system without Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using cen... In this paper, complex dynamics of the discrete-time predator-prey system without Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory and checked up by numerical simulations. Chaos, in the sense of Marotto, is also proved by both analytical and numerical methods. Numerical simulations included bifurcation diagrams, Lyapunov exponents, phase portraits, fractal dimensions display new and richer dynamics behaviors. More specifically, this paper presents the finding of period-one orbit, period-three orbits, and chaos in the sense of Marotto, complete period-doubling bifurcation and invariant circle leading to chaos with a great abundance period-windows, simultaneous occurrance of two different routes （invariant circle and inverse period- doubling bifurcation, and period-doubling bifurcation and inverse period-doubling bifurcation） to chaos for a given bifurcation parameter, period doubling bifurcation with period-three orbits to chaos, suddenly appearing or disappearing chaos, different kind of interior crisis, nice chaotic attractors, coexisting （2,3,4） chaotic sets, non-attracting chaotic set, and so on, in the discrete-time predator-prey system. Combining the existing results in the current literature with the new results reported in this paper, a more complete understanding is given of the discrete-time predator-prey systems with Allee effect and without Allee effect. 展开更多
关键词 predator-prey system flip bifurcation Hopf bifurcation Marotto＇s chaos transient chaos
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Pure-Output Feedback Controller for a Class of Unknown Nonaffine Discrete-Time Systems With Indeterminate Order and Non-Strict Dynamics 认领 引用
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作者 Chidentree Treesatayapun 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2025年第11期2253-2263,共11页
The paper presents an adaptive controller formulated for a class of nonaffine discrete-time systems with non-strict forms and unknown dynamics.The controller operates based solely on the measured output,thus obviating... The paper presents an adaptive controller formulated for a class of nonaffine discrete-time systems with non-strict forms and unknown dynamics.The controller operates based solely on the measured output,thus obviating the need for knowledge of the physical order of the controlled plant.Utilizing an ideal solution and equivalent dynamics,the approach integrates an adaptive network with feedback and robust controllers to establish a closed-loop system.A learning law is derived under practical conditions of the designed parameters,ensuring effective closed-loop performance based on pure-output feedback.The controller’s effectiveness is validated through both numerical and experimental systems,with results meeting the conditions specified in the main theorem.Comparative analysis highlights the controller’s highly satisfactory performance and its advantages.This research offers a promising approach to adaptive control for discrete-time systems with non-strict dynamics,providing practical solutions for systems with unknown dynamics and indeterminate system order. 展开更多
关键词 Direct current(DC)motor torque control non-strict discrete-time systems output feedback control unutified order
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Dynamics of a Leslie-Gower Predator-Prey Model with Weak Nonlinear Harvesting and Prey-Taxis 认领 引用
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作者 Lina ZHANG Miao WANG 《Journal of Mathematical Research with Applications》 CSCD 2026年第2期263-272,共10页
In this paper,the dynamics of a Leslie-Gower predator-prey model with weak nonlin-ear harvesting and prey-taxis is discussed.By comparing and analyzing the differences between ordinary differential systems and chemota... In this paper,the dynamics of a Leslie-Gower predator-prey model with weak nonlin-ear harvesting and prey-taxis is discussed.By comparing and analyzing the differences between ordinary differential systems and chemotaxis systems in the stability of equilibrium points,the influence mechanism of chemotaxis on the dynamic behavior of the system is deeply studied.Theoretical analysis shows that chemotaxis significantly changes the stability characteristics of the system,and the reliability of theoretical results is further verified by numerical simulation. 展开更多
关键词 Leslie-Gower predator-prey model nonlinear harvesting prey-taxis stability
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A novel reaching law approach of quasi-sliding-mode control for uncertain discrete-time systems 认领 引用 被引量：4
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作者 袁雷 沈建清 +1 位作者 肖飞 王恒利 《Journal of Central South University》 SCIE EI CAS 2012年第9期2514-2519,共6页
A novel discrete-time reaching law was proposed for uncertain discrete-time system,which contained process noise and measurement noise.The proposed method reserves all the advantages of discrete-time reaching law,whic... A novel discrete-time reaching law was proposed for uncertain discrete-time system,which contained process noise and measurement noise.The proposed method reserves all the advantages of discrete-time reaching law,which not only decreases the band width of sliding mode and strengthens the system robustness,but also improves the dynamic performance and stability capability of the system.Moreover,a discrete-time sliding mode control strategy based on Kalman filter method was designed,and Kalman filter was employed to eliminate the influence of system noise.Simulation results show that there is no chattering phenomenon in the output of controller and the state variables of controlled system,and the proposed algorithm is also feasible and has strong robustness to external disturbances. 展开更多
关键词 discrete-time system quasi-sliding-mode control discrete-time reaching law Kalman filter
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Discrete-time movement model of a group of trains on a rail line with stochastic disturbance 认领 引用 被引量：6
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作者 杨立兴 李峰 +1 位作者 高自友 李克平 《Chinese Physics B》 SCIE EI CAS 2010年第10期184-193,共10页
This paper presents a discrete-time model to describe the movements of a group of trains, in which some operational strategies, including traction operation, braking operation and impact of stochastic disturbance, are... This paper presents a discrete-time model to describe the movements of a group of trains, in which some operational strategies, including traction operation, braking operation and impact of stochastic disturbance, are defined. To show the dynamic characteristics of train traffic flow with stochastic disturbance, some numerical experiments on a railway line are simulated. The computational results show that the discrete-time movement model can well describe the movements of trains on a rail line with the moving-block signalling system. Comparing with the results of no disturbance, it finds that the traffic capacity of the rail line will decrease with the influence of stochastic disturbance. Additionally, the delays incurred by stochastic disturbance can be propagated to the subsequent trains, and then prolong their traversing time on the rail line. It can provide auxiliary information for rescheduling trains When the stochastic disturbance occurs on the railway. 展开更多
关键词 train movement discrete-time model simulation stochastic disturbance
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Attitude sensor fault diagnosis based on Kalman filter of discrete-time descriptor system 认领 引用 被引量：11
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作者 Zhenhua Wang Yi Shen Xiaolei Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第6期914-920,共7页
To diagnose the fault of attitude sensors in satellites,this paper proposes a novel approach based on the Kalman filter of the discrete-time descriptor system.By regarding the sensor fault term as the auxiliary state ... To diagnose the fault of attitude sensors in satellites,this paper proposes a novel approach based on the Kalman filter of the discrete-time descriptor system.By regarding the sensor fault term as the auxiliary state vector,the attitude measurement system subjected to the attitude sensor fault is modeled by the discrete-time descriptor system.The condition of estimability of such systems is given.And then a Kalman filter of the discrete-time descriptor system is established based on the methodology of the maximum likelihood estimation.With the descriptor Kalman filter,the state vector of the original system and sensor fault can be estimated simultaneously.The proposed method is able to esti-mate an abrupt sensor fault as well as the incipient one.Moreover,it is also effective in the multiple faults scenario.Simulations are conducted to confirm the effectiveness of the proposed method. 展开更多
关键词 discrete-time descriptor system Kalman filter satel-lite attitude sensor fault estimation.
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Adaptive Control and Function Projective Synchronization in 2D Discrete-Time Chaotic Systems 认领 引用 被引量：12
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作者 LI Yin CHEN Yong LI Biao 《Communications in Theoretical Physics》 SCIE CAS 2009年第2期270-278,共9页
This study addresses the adaptive control and function projective synchronization problems between 2D Rulkov discrete-time system and Network discrete-time system. Based on backstepping design with three controllers, ... This study addresses the adaptive control and function projective synchronization problems between 2D Rulkov discrete-time system and Network discrete-time system. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate the function projective synchronization of discretetime chaotic systems. In addition, the adaptive control function is applied to achieve the state synchronization of two discrete-time systems. Numerical results demonstrate the effectiveness of the proposed control scheme. 展开更多
关键词 adaptive function projective synchronization backstepping design adaptive control discrete-time chaotic system
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Stability analysis and stabilization for discrete-time singular delay systems 认领 引用 被引量：5
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作者 Xin Sun Qingling Zhang +1 位作者 Chunyu Yang Zhan Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第3期482-487,共6页
Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems i... Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is derived.Then,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 discrete-time singular systems delay stability stabilization.
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Reduced-Order Observer-Based Leader-Following Formation Control for Discrete-Time Linear Multi-Agent Systems 认领 引用 被引量：4
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作者 Zhongxin Liu Yangbo Li +1 位作者 Fuyong Wang Zengqiang Chen 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第10期1715-1723,共9页
Formation control of discrete-time linear multi-agent systems using directed switching topology is considered in this work via a reduced-order observer, in which a formation control protocol is proposed under the assu... Formation control of discrete-time linear multi-agent systems using directed switching topology is considered in this work via a reduced-order observer, in which a formation control protocol is proposed under the assumption that each directed communication topology has a directed spanning tree. By utilizing the relative outputs of neighboring agents, a reduced-order observer is designed for each following agent. A multi-step control algorithm is established based on the Lyapunov method and the modified discrete-time algebraic Riccati equation. A sufficient condition is given to ensure that the discrete-time linear multi-agent system can achieve the expected leader-following formation.Finally, numerical examples are provided so as to demonstrate the effectiveness of the obtained results. 展开更多
关键词 Discrete-time systems formation control leader-following multi-agent system reduced-order observer
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Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters 认领 引用 被引量：14
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作者 赵淡 张化光 郑成德 《Chinese Physics B》 SCIE EI CAS 2008年第2期529-535,共7页
This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model （DFHM） with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto t... This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model （DFHM） with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li-Yorke definition. An example is presented to demonstrate the effectiveness of the approach. 展开更多
关键词 discrete-time fuzzy hyperbolic model anticontrol of chaos parametric uncertainty nonlinear state feedback
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Community detection in signed networks based on discrete-time model 认领 引用 被引量：2
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作者 Jianrui Chen Li Zhang +1 位作者 Weiwei Liu Zaizai Yan 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期574-583,共10页
Community detection in signed networks has been studied widely in recent years. In this paper, a discrete difference equation is proposed to imitate the consistently changing phases of the nodes. During the interactio... Community detection in signed networks has been studied widely in recent years. In this paper, a discrete difference equation is proposed to imitate the consistently changing phases of the nodes. During the interaction, each node will update its phase based on the difference equation. Each node has many different nodes connected with it, and these neighbors have different influences on it. The similarity between two nodes is applied to describe the influences between them. Nodes with high positive similarities will get together and nodes with negative similarities will be far away from each other.Communities are detected ultimately when the phases of the nodes are stable. Experiments on real world and synthetic signed networks show the efficiency of detection performance. Moreover, the presented method gains better detection performance than two existing good algorithms. 展开更多
关键词 community detection signed networks discrete-time model similarity
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A New Admissibility Condition of Discrete-time Singular Systems with Time-varying Delays 认领 引用 被引量：4
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作者 Yong-Yun Shao Xiao-Dong Liu +1 位作者 Xin Sun Zhan Su 《International Journal of Automation and computing》 2012年第5期480-486,共7页
This paper gives a novel delay-dependent admissibility condition of discrete-time singular systems with time-varying delays.For convenience,the time-varying delay is assumed to be the sum of delay lower bound and the ... This paper gives a novel delay-dependent admissibility condition of discrete-time singular systems with time-varying delays.For convenience,the time-varying delay is assumed to be the sum of delay lower bound and the integral multiples of a constant delay.Specially,if the constant delay is of unit length,the delay is an interval-like time-varying delay.The proposed admissibility condition is presented and expressed in terms of linear matrix inequality(LMI)by Lyapunov approach.Generally,the uncertainty of time-varying delay would lead to conservatism.In this paper,this critical issue is tackled by accurately estimating the time-varying delay.Consequently,the proposed admissibility condition is less conservative than the existing results,which is demonstrated by a numerical example. 展开更多
关键词 Singular systems discrete-time delay-dependent admissibility time-varying delay
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Function Projective Synchronization in Discrete-Time Chaotic System with Uncertain Parameters 认领 引用 被引量：4
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作者 CHEN Yong LI Xin 《Communications in Theoretical Physics》 SCIE CAS 2009年第3期470-474,共5页
The function projective synchronization of discrete-time chaotic systems is presented. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate funct... The function projective synchronization of discrete-time chaotic systems is presented. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate function projective synchronization （FPS） of discrete-time chaotic systems with uncertain parameters. With the aid of symbolic-numeric computation, we use the proposed scheme to illustrate FPS between two identical 3D Henon-like maps with uncertain parameters. Numeric simulations are used to verify the effectiveness of our scheme. 展开更多
关键词 function projective synchronization backstepping design discrete-time chaotic system Henon-like map
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H_∞ Control of Looper-Tension Control Systems Based on a Discrete-Time Model 认领 引用 被引量：2
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作者 CHEN Jin-xiang YANG Wei-dong SUN Yan-guang 《Journal of Iron and Steel Research International》 SCIE CAS CSCD 2013年第10期28-31,共4页
High control performances cannot be obtained by most of the existing looper-tension control approaches through only considering controller designs based on continuous time models, which cannot meet the requirements of... High control performances cannot be obtained by most of the existing looper-tension control approaches through only considering controller designs based on continuous time models, which cannot meet the requirements of modern computer control systems with high control accuracy. In order to solve the above problems, a state feedback H∞ control method based on a discrete-time model for looper-tension control systems in hot rolling mills is presen- ted. The considered system is approximated by a discrete-time loope∞tension control system model. Based on a Lya- punov functional method, a state feedback H∞ control law is developed which makes the closed-loop system asymp totically stable with guaranteed H∞ performance. The controller gains are obtained by solving a set of linear matrix inequalities （LMIs）. In contrast to the existing results, the proposed approach can obtain good H∞ performance and effectively reduce external disturbances. The strip tension is also less affected by the change of looper angel, so good control performances can be obtained. Moreover, this control scheme is easy to implement, and can be applied to other linear systems. A simulation example with practical parameters is provided to illustrate the effectiveness of the developed method. 展开更多
关键词 looper-tension control system H∞ control linear matrix inequality discrete-time system
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LMI-based robust control of uncertain discrete-time piecewise affine systems 认领 引用 被引量：11
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作者 Zhiyuan LIU Yahui GAO Hong CHEN 《控制理论与应用（英文版）》 2010年第4期496-502,共7页
The main contribution of this paper is to present stability synthesis results for discrete-time piecewise affine （PWA） systems with polytopic time-varying uncertainties and for discrete-time PWA systems with norm-bo... The main contribution of this paper is to present stability synthesis results for discrete-time piecewise affine （PWA） systems with polytopic time-varying uncertainties and for discrete-time PWA systems with norm-bounded uncertainties respectively.The basic idea of the proposed approaches is to construct piecewise-quadratic （PWQ） Lyapunov functions to guarantee the stability of the closed-loop systems.The partition information of the PWA systems is taken into account and each polytopic operating region is outer approximated by an ellipsoid,then sufficient conditions for the robust stabilization are derived and expressed as a set of linear matrix inequalities （LMIs）.Two examples are given to illustrate the proposed theoretical results. 展开更多
关键词 Discrete-time systems Linear matrix inequality Piecewise affine systems Piecewise Lyapunov function Robust control
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