An Integral Function Approach to the Exponential Stability of Linear Time-Varying Systems

被引：2

作者：

Yao, Yu ^{[1
]}

Liu, Kai ^{[1
]}

Sun, Dengfeng ^{[2
]}

Balakrishnan, Venkataramanan ^{[3
]}

Guo, Jian ^{[1
]}

机构：

[1] Harbin Inst Technol, Control & Simulat Ctr, Harbin, Peoples R China

[2] Purdue Univ, Sch Aeronaut & Astronaut Engn, W Lafayette, IN 47907 USA

[3] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2012年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Bellman-Gronwall Lemma; exponential stability; integral function; linear time-varying systems; ASYMPTOTIC STABILITY; SUFFICIENT CONDITIONS;

D O I：

10.1007/s12555-012-0603-2

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 linear time-varying (LTV) systems using the recent proposed integral function. By showing the properties of the integral function and applying the Bellman-Gronwall Lemma, a sufficient and necessary condition for the exponential stability of LTV systems is derived. Furthermore, the exponential decay rate of the system trajectories can be obtained by computing the radii of convergence of integral function. The algorithm for computing the integral function is also developed and two classical examples are given to illustrate the proposed approach.

引用

页码：1096 / 1101

页数：6

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