Generalized Lyapunov function theorems and its applications in switched systems

被引：10
作者：
Yu, Qiang [1 ,2 ]
Wu, Baowei [3 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China
[2] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China
[3] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2015年 / 77卷
关键词：
Generalized Lyapunov function; Nonlinear systems; Switched systems; Stability; STABILITY ANALYSIS; LINEAR-SYSTEMS;
D O I：
10.1016/j.sysconle.2015.01.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Generalized Lyapunov theorems of nonlinear systems are developed wherein all regularity assumptions on traditional Lyapunov function are removed. In particular, stability theorems of nonlinear systems are presented by replacing "V along the system trajectories is non-increasing" with "V along the system trajectories may increase its value during some proper time intervals". Furthermore, stability theorems of discrete-time and continuous-time switched system with unstable subsystems are derived, using the generalized Lyapunov theorems. Two numerical examples are included to illustrate the effectiveness of the method. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：40 / 45
页数：6
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