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Search Results: 1 - 10 of 5518 matches for " Lyapunov-Razumikhin Approach "
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Razumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay  [PDF]
Haibo Gu, Caixia Gao
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.47129
Abstract:

This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the results.

Razumikhin-Type Theorems on General Decay Stability of Impulsive Stochastic Functional Differential Systems with Markovian Switching  [PDF]
Zhiyu Zhan, Caixia Gao
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.48172
Abstract: In this paper, the Razumikhin approach is applied to the study of both p-th moment and almost sure stability on a general decay for a class of impulsive stochastic functional differential systems with Markovian switching. Based on the Lyapunov-Razumikhin methods, some sufficient conditions are derived to check the stability of impulsive stochastic functional differential systems with Markovian switching. One numerical example is provided to demonstrate the effectiveness of the results.
不确定非线性时滞系统鲁棒镇定的进一步结果
焦晓红, 申铁龙, 孙元章
自动化学报 , 2007, DOI: 10.1360/aas-007-0164
Abstract: ?针对广义的不确定非线性时滞系统,研究了其鲁棒镇定控制器的系统的递归设计方法。通过递归地构造Lyapunov-Razumikhin函数获得了一种独立于延时的状态反馈控制律。证明了通过一些设计技术处理,由Razumikhin条件的应用所带来的固有的设计障碍是可以被克服的,从而使得系统鲁棒镇定控制器的获得不需要任何对系统的限制条件。
Further Result on Robust Stabilization for Uncertain Nonlinear Time-delay Systems
不确定非线性时滞系统鲁棒镇定的进一步结果

JIAO Xiao-Hong,SHEN Tie-Long,SUN Yuan-Zhang,
焦晓红
,申铁龙,孙元章

自动化学报 , 2007,
Abstract: The systematic recursive design method of the robust stabilizing controller for general uncertain nonlinear time-delay systems is investigated in this paper. A delay-independent state feedback control law can be obtained by recursively constructing Lyapunov-Razumikhin function. It is shown that by some design techniques the obstacle that is intrinsic to the application of the Razumikhin condition can be removed such that the design of the robust stabilizing control law is free of any restriction for the systems.
关于非线性时滞系统的鲁棒稳定性条件的讨论
胡剑波
自动化学报 , 2000,
Abstract:
Lyapunov-Based Dynamic Neural Network for Adaptive Control of Complex Systems  [PDF]
Farouk Zouari, Kamel Ben Saad, Mohamed Benrejeb
Journal of Software Engineering and Applications (JSEA) , 2012, DOI: 10.4236/jsea.2012.54028
Abstract: In this paper, an adaptive neuro-control structure for complex dynamic system is proposed. A recurrent Neural Network is trained-off-line to learn the inverse dynamics of the system from the observation of the input-output data. The direct adaptive approach is performed after the training process is achieved. A lyapunov-Base training algorithm is proposed and used to adjust on-line the network weights so that the neural model output follows the desired one. The simulation results obtained verify the effectiveness of the proposed control method.
Stability of Impulsive Differential Equations with Impulses at Variable Times
具有可变脉冲点的脉冲微分方程的稳定性

ZHANG Yu,WANG Chun-Yan,SUN Ji-Chao,
张瑜
,王春燕,孙继涛

数学物理学报(A辑) , 2005,
Abstract: This paper considers stability of the zero solution of impulsive differential equations with impulses at variable times. By means of Lyapunov functions and Razumikhin techniques, some sufficient conditions of uniform stability and uniform asymptotic stability for differential equation with impulses at variable times are obtained.
Exponential Stability of Cellular Neural Networks
细胞神经网络的指数稳定性

Shen Yi,Jiang Minghui,Yao Hongshan,
沈轶
,江明辉,姚宏善

数学物理学报(A辑) , 2005,
Abstract: In this paper the authors investigate the exponential stability of stochastic cellular neural networks with variable delay. By using the Razumikhin theorems and Lyapunov functions, the authors present two types of criteria for the exponential stability in the mena square and almost surely exponential stability of cellular neural networks. One type involves delay independent results while the other involves delay dependent results.
Delay Independence Stability Analysis and Switching Law Design for the Switched Time-delay Systems
Ming-Yuan Shieh,Juing-Shian Chiou,Chun-Ming Cheng
Information Technology Journal , 2011,
Abstract: The study presents an innovative representation modeling of the switched time-delay system and study the problem of delay-independence stability and switching law design for switched time-delay systems. The methods based on Lyapunov-Razumikhin stability theorem to study the stability and switching law design for the switched time-delay systems with state-driven switching method are presented. There are two basic problems in stability and switching law design of the switched time-delay system. These problems are stability for arbitrary switching sequences and construction of stabilizing switching sequences. This study derives stability conditions that guarantee the switched time-delay system is delay-independent asymptotically stable for two kinds of switching law. This study constructs linear matrix inequalities based design procedures for stability analysis. Finally, numerical examples are given to show the merits of the proposed approach.
COMMENT REGARDING "STABILITY AND ROBUST STABILITY FOR NONLINEAR DELAYED SYSTEMS"
关于非线性时滞系统的鲁棒稳定性条件的讨论

HU Jianbo,
胡剑波

自动化学报 , 2000,
Abstract: 1 引 言在《自动化学报》1 999年第 6期中 ,短文“非线性时滞系统的稳定性分析及鲁棒稳定性分析”1 ] 用 Lyapunov函数方法分别讨论了确定性和不确定性非线性时滞系统的稳定性 .对于确定性系统得到了一种基于 LMI的渐近稳定充分条件 ,并研究了不确定性系统的鲁棒稳定性问题 .但由于该文对 Razumikhin定理的理解有误 ,有关鲁棒稳定性的结论 (定理 1、推论 1 )是不正确的 .对于 Razumikhin定理 ,文 2 ]给出了一种所谓的改进型 Razumikhin定理 .但有人提出质疑 ,问题在于没有正确理解 Razumikhin定理 3,4] .文 1 ]虽然没有直接提到 R…
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