Positivity and Stability of Time-Varying Discrete-Time Linear Systems

被引：6

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland

来源：

INTELLIGENT INFORMATION AND DATABASE SYSTEMS, PT I | 2015年 / 9011卷

关键词：

Time-varying; Positive; Discrete-time; positive stability; SWITCHED SYSTEMS; EXPONENTS;

D O I：

10.1007/978-3-319-15702-3_29

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The positivity and asymptotic stability of the time-varying discrete-time linear systems are addressed. Necessary and sufficient conditions for the positivity of the systems and sufficient conditions for asymptotic stability of the positive systems are established. The proposed stability tests are based on the norms of the system matrix. The effectiveness of the test are demonstrated on an example.

引用

页码：295 / 303

页数：9

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