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ON APPROXIMATELY(p,q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES 认领 引用
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作者 Anna BAHYRYCZ Magdalena PISZCZEK 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期593-601,共9页
We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characteriza... We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces. 展开更多
关键词 Hyperstability p-Wright affine function complex inner product space fixedpoint theorem
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Event-triggered state estimation for T-S fuzzy affine systems based on piecewise Lyapunov-Krasovskii functionals 认领 引用 被引量：2
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作者 Meng WANG Jianbin QIU Gang FENG 《Control Theory and Technology》 EI CSCD 2019年第1期99-111,共13页
This paper investigates the problem of event-triggered H∞state estimation for Takagi-Sugeno (T-S) fuzzy affine systems. The objective is to design an event-triggered scheme and an observer such that the resulting est... This paper investigates the problem of event-triggered H∞state estimation for Takagi-Sugeno (T-S) fuzzy affine systems. The objective is to design an event-triggered scheme and an observer such that the resulting estimation error system is asymptotically stable with a prescribed H∞performance and at the same time unnecessary output measurement transmission can be reduced. First, an event-triggered scheme is proposed to determine whether the sampled measurements should be transmitted or not. The output measurements, which trigger the condition, are supposed to suffer a network-induced time-varying and bounded delay before arriving at the observer. Then, by adopting the input delay method, the estimation error system can be reformulated as a piecewise delay system. Based on the piecewise Lyapunov-Krasovskii functional and the Finsler's lemma, the event-triggered H∞observer design method is developed. Moreover, an algorithm is proposed to co-design the observer gains and the event-triggering parameters to guarantee that the estimation error system is asymptotically stable with a given disturbance attenuation level and the signal transmission rate is reduced as much as possible. Simulation studies are given to show the effectiveness of the proposed method. 展开更多
关键词 Takagi-Sugeno (T-S) fuzzy affine systems event-triggered scheme, piecewise Lyapunov-Krasovskii functional, state estimation
Robust D-stability LMI conditions of matrix polytopes via affine parameter-dependent Lyapunov functions 认领 引用
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作者 Pan Xiong Feng Wang +1 位作者 Xibin Cao Guangren Duan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期984-991,共8页
The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain syst... The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain systems are developed with the benefit of the scalar multi-convex function. To be convenient for applications, such conditions are simplified into new linear matrix inequality （LMI） conditions, which can be solved by the powerful LMI toolbox. Numerical examples are provided to indicate that this new approach is less conservative than previous results for Hurwitz stability, Schur stability and D-stability of uncertain systems under certain circumstances. 展开更多
关键词 linear uncertain system robust D-stability analysis linear matrix inequality （LMI） condition affine parameterdependent Lyapunov function matrix polytope.
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Spectral Characteristics of the Best Affine Approach of Multi-Output m-Valued Logical Functions 认领 引用
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作者 ZHAO Yaqun YING Dinghai FENG Dengguo 《Wuhan University Journal of Natural Sciences》 CAS 2007年第1期185-188,共4页
This paper discusses the best affine approach （BAA） of multi-output m-valued logical functions. First, it gives the spectra of rate of accordance between multi-output m-valued logical functions and their affine func... This paper discusses the best affine approach （BAA） of multi-output m-valued logical functions. First, it gives the spectra of rate of accordance between multi-output m-valued logical functions and their affine functions, then analyzes the BAA of multi-output m-valued logical functions and finally gives the spectral characteristics of BAA of multi-output m-valued logical functions. 展开更多
关键词 multi-output m-valued logical functions linear spectrum cyclic spectrum BAA（best affine approach）
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Stability analysis for affine fuzzy system based on fuzzy Lyapunov functions 认领 引用
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作者 柳善建 沈炯 +1 位作者 刘西陲 李益国 《Journal of Southeast University(English Edition)》 EI CAS 2011年第3期295-299,共5页
An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local ... An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local model. Thus, the stability analysis method of the homogeneous fuzzy system can be used for reference. Stability conditions are derived in terms of linear matrix inequalities based on the fuzzy Lyapunov functions and the modified common Lyapunov functions, respectively. The results demonstrate that the stability result based on the fuzzy Lyapunov functions is less conservative than that based on the modified common Lyapunov functions via numerical examples. Compared with the method which does not expand the consequent part, the proposed method is simpler but its feasible region is reduced. Finally, in order to expand the application of the fuzzy Lyapunov functions, the piecewise fuzzy Lyapunov function is proposed, which can be used to analyze the stability for triangular or trapezoidal membership functions and obtain the stability conditions. A numerical example validates the effectiveness of the proposed approach. 展开更多
关键词 affine fuzzy system stability analysis linear matrix inequalities fuzzy Lyapunov function
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Adaptive Fault-Tolerant Control for Unknown Affine Nonlinear Systems Based on Self-Organizing RBF Neural Network 认领 引用
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作者 Ran Chen Donghua Zhou Li Sheng 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2025年第9期1788-1800,共13页
This article presents an adaptive fault-tolerant tracking control strategy for unknown affine nonlinear systems subject to actuator faults and external disturbances.To address the hyperparameter initialization challen... This article presents an adaptive fault-tolerant tracking control strategy for unknown affine nonlinear systems subject to actuator faults and external disturbances.To address the hyperparameter initialization challenges inherent in conventional neural network training,an improved self-organizing radial basis function neural network(SRBFNN)with an input-dependent variable structure is developed.Furthermore,a novel selforganizing RBFNN-based observer is introduced to estimate system states across all dimensions.Leveraging the reconstructed states,the proposed adaptive controller effectively compensates for all uncertainties,including estimation errors in the observer,ensuring accurate state tracking with reduced control effort.The uniform ultimate boundedness of all closed-loop signals and tracking errors is rigorously established via Lyapunov stability analysis.Finally,simulations on two different nonlinear systems comprehensively validate the effectiveness and superiority of the proposed control approach. 展开更多
关键词 Adaptive tracking control fault-tolerant control self-organizing radial basis function neural network(SRBFNN) unknown affine nonlinear system
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Global Practical Stabilization of Discrete-Time Switched Affine Systems via a General Quadratic Lyapunov Function and a Decentralized Ellipsoid 认领 引用 被引量：2
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作者 Mohammad Hejri 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2021年第11期1837-1851,共15页
This paper addresses the problem of global practical stabilization of discrete-time switched affine systems via statedependent switching rules.Several attempts have been made to solve this problem via different types ... This paper addresses the problem of global practical stabilization of discrete-time switched affine systems via statedependent switching rules.Several attempts have been made to solve this problem via different types of a common quadratic Lyapunov function and an ellipsoid.These classical results require either the quadratic Lyapunov function or the employed ellipsoid to be of the centralized type.In some cases,the ellipsoids are defined dependently as the level sets of a decentralized Lyapunov function.In this paper,we extend the existing results by the simultaneous use of a general decentralized Lyapunov function and a decentralized ellipsoid parameterized independently.The proposed conditions provide less conservative results than existing works in the sense of the ultimate invariant set of attraction size.Two different approaches are proposed to extract the ultimate invariant set of attraction with a minimum size,i.e.,a purely numerical method and a numerical-analytical one.In the former,both invariant and attractiveness conditions are imposed to extract the final set of matrix inequalities.The latter is established on a principle that the attractiveness of a set implies its invariance.Thus,the stability conditions are derived based on only the attractiveness property as a set of matrix inequalities with a smaller dimension.Illustrative examples are presented to prove the satisfactory operation of the proposed stabilization methods. 展开更多
关键词 Decentralized quadratic Lyapunov function decentralized ellipsoid discrete-time switched affine systems practical stabilization switching power converters
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AFFINE TRANSFORMATION IN RANDOM ITERATED FUNCTION SYSTEMS 认领 引用
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作者 XIONG Yong +1 位作者 SHI Ding-hua 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第7期820-826,共7页
Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, th... Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, that the figure reconstructed by the new random IFS is the image of the origin figure reconstructed by old IFS under a given affine transformation. Two particular examples are used to show this approach. 展开更多
关键词 fractal random iterated function system affine transformation
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Optimal control of quadratic functionals for affine nonlinear systems 认领 引用
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作者 M.Popescu A.Dumitrache 《Theoretical & Applied Mechanics Letters》 CAS 2012年第4期56-59,共4页
In this paper we analyze the optimal control problem for a class of afflne nonlinear systems under the assumption that the associated Lie algebra is nilpotent. The Lie brackets generated by the vector fields which def... In this paper we analyze the optimal control problem for a class of afflne nonlinear systems under the assumption that the associated Lie algebra is nilpotent. The Lie brackets generated by the vector fields which define the nonlinear system represent a remarkable mathematical instrument for the control of affine systems. We determine the optimal control which corresponds to the nilpotent operator of the first order. In particular, we obtain the control that minimizes the energy of the given nonlinear system. Applications of this control to bilinear systems with first order nilpotent operator are considered. 展开更多
关键词 optimal control affine nonlinear systems nilpotent operator quadratic functionals
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Affine Eikonal, Wavization and Wigner Function 认领 引用
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作者 Akihiro Ogura 《Journal of Modern Physics》 2016年第13期1738-1748,共11页
The aim in this paper is to construct an affine transformation using the classical physics analogy between the fields of optics and mechanics. Since optics and mechanics both have symplectic structures, the concept of... The aim in this paper is to construct an affine transformation using the classical physics analogy between the fields of optics and mechanics. Since optics and mechanics both have symplectic structures, the concept of optics can be replaced by that of mechanics and vice versa. We list the four types of eikonal (generating functions). We also introduce a unitary operator for the affine transformation. Using the unitary operator, the kernel (propagator) is calculated and the wavization (quantization) of the Gabor function is discussed. The dynamic properties of the affine transformed Wigner function are also discussed. 展开更多
关键词 Affine Eikonal Wavization of Gabor Function Wigner Function
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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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Robust H_∞ and H_2 Static Output Feedback Control of Discrete-time Piecewise Affine Singular Systems with Norm-bounded Uncertainties 认领 引用 被引量：1
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作者 Mao Wang Zhen-Hua Zhou Tian-Tian Liang 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第3期1-8,共8页
This paper is concerned with the problem of designing robust H∞and H2static output feedback controllers for a class of discrete-time piecewise-affine singular systems with norm-bounded time-varying parameters uncerta... This paper is concerned with the problem of designing robust H∞and H2static output feedback controllers for a class of discrete-time piecewise-affine singular systems with norm-bounded time-varying parameters uncertainties. Based on a piecewise singular Lyapunov function combined with S-procedure,Projection lemma and some matrix inequality convexifying techniques,sufficient conditions in terms of linear matrix inequalities are given for the existence of an output-feedback controller for the discrete-time piecewiseaffine singular systems with a prescribed H∞disturbance attenuation level,and the H2norm is smaller than a given positive number. It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by one or two scalar variables. The numerical examples are given to illustrate the effectiveness of the proposed design methods. 展开更多
关键词 piecewise affine singular systems parameter uncertainties piecewise singular Lyapunov function robust H∞and H2static output feedback control
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Work Function and Electron Affinity of Semiconductors:Doping Effect and Complication due to Fermi Level Pinning 认领 引用 被引量：6
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作者 Guosheng Shao 《Energy & Environmental Materials》 SCIE EI CAS CSCD 2021年第3期273-276,共4页
Semiconductors are a major category of functional materials essential to various applications to sustain the modern society.Most applied materials or devices utilizing semiconductors are enabled by interfaces or junct... Semiconductors are a major category of functional materials essential to various applications to sustain the modern society.Most applied materials or devices utilizing semiconductors are enabled by interfaces or junctions,such as solar cells,electronic/photonic devices,environmental sensors,and redox hetero-catalysts.Herein,the author provides a critical commentary on photoemission measurement of the work function and,more importantly,the electron affinity of semiconductors essential for energy band diagram of heterojunctions.Particular effort is made towards addressing complications associated with Fermi level pinning due to surficial states of doped semiconductors. 展开更多
关键词 band edges electron affinity Fermi pinning ultraviolet photoelectron spectroscopy work function
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The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay 认领 引用 被引量：1
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作者 Xiao-Wu Mu Yang Gao 《International Journal of Automation and computing》 2012年第2期211-214,共4页
In this paper, global input-to-state stability （ISS） for discrete-time piecewise affine systems with time-delay are considered Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhiu and Lya... In this paper, global input-to-state stability （ISS） for discrete-time piecewise affine systems with time-delay are considered Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhiu and Lyapunov-Krasovskii methods are used The theorems of Lyapunov-Razumikhin type and Lyapunov-Krasovskii type for piecewise affine systems with time-delay are shown respectively. 展开更多
关键词 Piecewise affine systems input-to-state stability time delays discrete systems Lyapunov function.
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Ion coordination affinity and its application in mineral flotation 认领 引用
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作者 Hong-liang ZHANG Xin RAO +4 位作者 Chen-yang ZHANG Jian-hua CHEN Yang-ge ZHU Rong WANG Wei SUN 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2025年第10期3468-3479,共12页
The ion coordination affinities of the commonly found metal ions were evaluated using DFT calculations.The results indicate that the lowest unoccupied molecular orbital(LUMO)energy of metal ions correlates positively ... The ion coordination affinities of the commonly found metal ions were evaluated using DFT calculations.The results indicate that the lowest unoccupied molecular orbital(LUMO)energy of metal ions correlates positively with their binding energies with O(S)ligands,and some metal ions with various valence states also present different affinities.Besides,due to the steric hindrance effects,the mono-and hexa-coordinated metal ions may exhibit different affinities,and the majority of the studied hexa-coordinated metal ions exhibit oxophilicity.These affinity differences perfectly illustrate the activation flotation practice in which the oxyphilic ions are applied to activating oxide minerals,while thiophilic ions are applied to activating sulfide minerals. 展开更多
关键词 ion coordination affinity mineral flotation coordination chemistry density functional theory
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Realization of Fractal Affine Transformation 认领 引用 被引量：1
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作者 XU Jing, LIN Yi xia School of Electromechanical Engineering and Automation, Shanghai University, Shanghai 200072, China 《Journal of Shanghai University(English Edition)》 2001年第1期31-34,共4页
This paper gives the definition of fractal affine transformation and presents a specific method for its realization and its corresponding mathematical equations which are essential in fractal image construction.
关键词 fractal IFS (iterated function system) affine transformation
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THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES 认领 引用
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作者 林至诚 王二小 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期765-781,共17页
Hildebrand classified all semi-homogeneous cones in R3 and computed their cor- responding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand＇s new examples. After giving their a... Hildebrand classified all semi-homogeneous cones in R3 and computed their cor- responding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand＇s new examples. After giving their affine metrics and affine cubic forms, we construct the whole associated family for each of Hildebrand＇s examples. The generic member of these affine spheres is given by Weierstrass f,ζ and a functions. In general any regular convex cone in R^3 has a natural associated S^1-family of such cones, which deserves further studies. 展开更多
关键词 hyperbolic affine spheres isothermal coordinates Weierstrass elliptic functions Monge-Ampere equation Tzitzeica equation
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Non-Spectral Problem of Self-Affine Measures in R3 认领 引用 被引量：1
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作者 Yanbo Yuan 《Advances in Pure Mathematics》 2021年第8期717-734,共18页
The problems of determining the spectrality or non-spectrality of a measure have been received much attention in recent years. One of the non-spectral problems on μM,D is to estimate the number of orthogonal exponent... The problems of determining the spectrality or non-spectrality of a measure have been received much attention in recent years. One of the non-spectral problems on μM,D is to estimate the number of orthogonal exponentials in L2(μM,D). In the present paper, we establish some relations inside the zero set  by the Fourier transform of the self-affine measure μM,D. Based on these facts, we show that μM,D is a non-spectral measure and there exist at most 4 mutually orthogonal exponential functions in L2(μM,D), where the number 4 is the best possible. This extends several known conclusions. 展开更多
关键词 Iterated Function System (IFS) Self-Affine Measure Orthogonal Exponentials
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切换仿射建模下的DC-DC Buck-Boost变换器稳定性分析 认领 引用
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作者 朱延正 黄发训 +1 位作者 杨荣妮 徐孝增 《控制理论与应用》 EI CAS CSCD 北大核心 2026年第7期1606-1613,共8页
本文针对DC-DC Buck-Boost变换器输出电压的稳定性问题,提出了一种基于状态依赖切换控制与切换仿射模型的创新性解决方案.为确保系统在动态变化中的稳定性,构建了一类新的切换多平移点Lyapunov函数,结合Lyapunov稳定性理论与线性矩阵不... 本文针对DC-DC Buck-Boost变换器输出电压的稳定性问题,提出了一种基于状态依赖切换控制与切换仿射模型的创新性解决方案.为确保系统在动态变化中的稳定性,构建了一类新的切换多平移点Lyapunov函数,结合Lyapunov稳定性理论与线性矩阵不等式方法,设计出一类基于切换仿射模型的控制函数.该控制函数显著提升了系统的动态响应性能,有效抑制了输出电压波动,改善了系统的动态性能并保持输出电压的稳定.通过合理的切换控制设计,使DC-DC Buck-Boost变换器在升压、降压以及过渡阶段均能够实现系统的稳定运行.实验结果进一步验证了所提出方法的有效性与可行性,为DC-DC变换器控制策略的优化提供了新的研究思路和技术支持. 展开更多
关键词 DC-DC Buck-Boost功率变换器 切换仿射模型 Lyapunov函数 切换多平移点 输出电压控制
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《本草纲目》收载药食两用品的研究 认领 引用
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作者 黄志辉 黄平东 +4 位作者 孙丽 袁伟彬 吴振华 梅全喜 王书珍 《时珍国医国药》 CAS CSCD 北大核心 2026年第13期2564-2572,共9页
探究《本草纲目》蕴含的药食同源学术思想,并系统归纳其收载药食两用品的药性。以《本草纲目》为研究对象,对书中收载的药食两用品进行系统筛选与统计。从四气、五味、归经、功效分类及升降浮沉等方面对药性进行归类分析。经统计《本草... 探究《本草纲目》蕴含的药食同源学术思想,并系统归纳其收载药食两用品的药性。以《本草纲目》为研究对象,对书中收载的药食两用品进行系统筛选与统计。从四气、五味、归经、功效分类及升降浮沉等方面对药性进行归类分析。经统计《本草纲目》中共收载药食两用品100种。药性分布呈现以下规律:四气以平、温为主;五味以甘、辛居多;归经主要涉及肺、脾、肝经;功效多集中于补虚、清热、温里、解表,升降浮沉以升浮为主。《本草纲目》系统总结了明代以前的药食同源理论与实践成果,其中十剂、气味阴阳、五味宜忌、升降浮沉等对药食同源有指导意义,其以“平、温”为主、“甘、辛”居多的药性规律,为后世药食同源物质的界定与应用提供了重要的文献依据和理论指导。 展开更多
关键词 《本草纲目》 药食两用 四气 五味 功效归类 升降浮沉 归经
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