Exponential Stability Analysis of Planar Piecewise-Linear Systems: An Integral Function Approach

被引：6
|
作者：
Liu, Kai [1 ]
Yao, Yu [1 ]
Yang, Baoqing [1 ]
Balakrishnan, Venkataramanan [2 ]
Guo, Yang
机构：
[1] Harbin Inst Technol, Control & Simulat Ctr, Harbin, Peoples R China
[2] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2012年 / 10卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Exponential stability; integral function; piecewise-linear systems; OUTPUT-FEEDBACK; STABILIZATION;
D O I：
10.1007/s12555-012-0201-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the exponential stability of continuous-time planar piecewise-linear systems (PPLS). By introducing a novel conception of integral function of PPLS and showing its properties, a sufficient and necessary condition for the exponential stability is derived. Furthermore, the exponential growth rate of system trajectories can be obtained accurately by computing the convergence radius of integral function. The algorithm for computing the integral function is developed and two examples are given to demonstrate the proposed approach.
引用
收藏
页码：203 / 212
页数：10
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