On the Asymptotic Stability Problem for Solutions of Difference Switched Systems

被引：0
作者：
A. V. Platonov
机构：
[1] St. Petersburg State University,
来源：
Automation and Remote Control | 2018年 / 79卷
关键词：
difference equations; switched systems; stability; Lyapunov functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider difference systems obtained by discretizing certain classes of differential systems. It is assumed that the system under consideration can operate in several modes. The problem is to establish conditions that guarantee the asymptotic stability of a given equilibrium position when switching regimes. We use the method of Lyapunov functions. We study the case when solutions of the system under various operating modes can have features of both linear and nonlinear behavior.
引用
收藏
页码：811 / 821
页数：10
相关论文
共 36 条
[1]  
Zubov V.I.(1997)Conservative Numerical Methods for Integrating Differential Equations in Nonlinear Mechanics Dokl. Math. 55 388-390
[2]  
Kaufmann E.R.(2006)Discretization Scheme in Volterra Integro-differential Equations that Preserves Stability and Boundedness J. Differ. Equat. Appl. 12 731-740
[3]  
Raffoul Y.N.(2005)On the Use of Nonstandard Finite Difference Methods J. Differ. Equat. Appl. 11 735-758
[4]  
Patidar K.G.(2005)Stability of Solutions of Nonlinear Difference Systems Russ. Math. 49 1-10
[5]  
Aleksandrov A.Yu.(2016)On Stability of Solutions for a Class of Nonlinear Difference Systems with Switching Autom. Remote Control 77 779-788
[6]  
Zhabko A.P.(1999)Basic Problems in Stability and Design of Switched Systems IEEE Control Syst. Mag. 19 59-70
[7]  
Aleksandrov A.Yu.(2000)Perspectives and Results on the Stability and Stabilizability of Hybrid Systems Proc. IEEE 88 1069-1082
[8]  
Platonov A.V.(2011)Analysis of Hybrid Systems’ Dynamics Using the Common Lyapunov Functions and Multiple Homomorphisms Autom. Remote Control 72 1163-1183
[9]  
Liberzon D.(2007)Stability Criteria for Switched and Hybrid Systems SIAM Rev. 49 545-592
[10]  
Morse A.S.(2001)Disturbance Attention Properties of Time-controlled Switched Systems J. Franklin Inst. 338 765-779
1234