Stability of linear time-varying systems with continuous time

被引：0

作者：

Bal-Szyda, Aneta ^{[1
]}

机构：

[1] Politech Slaska, Inst Automat, PL-44100 Gliwice, Poland

来源：

PRZEGLAD ELEKTROTECHNICZNY | 2009年 / 85卷 / 07期

关键词：

asymptotic stability; Lyapunov exponent; linear continuous time-varying system;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper stability problem for continuous time-varying linear systems with piecewise constant switching signal is presented. Onedimensional - described by scalar (multidimensional - described by matrices) notstationary systems are consider, for such systems the stability conditions are proposed with the aid of Lapunov exponent, matrix norm, eigenvalues and spectral radius. Derived stability conditions are very useful for describing asymptotic stability of linear time-varying systems with continuous time. (Stability of linear time-varying systems with continuous time).

引用

页码：211 / 214

页数：4

共 50 条

[1] Continuous time-varying linear systems
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[J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1964, CT11 (03): : 413 - &
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