STABILITY TESTS FOR DISCRETE-TIME POLYTOPIC SYSTEMS

被引：0

作者：

Savov, Svetoslav ^{[1
]}

Popchev, Ivan ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Informat & Commun Technol, Acad G Bonchev St,Bl 2, BU-1113 Sofia, Bulgaria

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2018年 / 71卷 / 09期

关键词：

uncertain discrete-time systems; Lyapunov stability; robust stability; ROBUST STABILITY;

D O I：

10.7546/CRABS.2018.09.10

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A new sufficient condition for robust stability of uncertain discrete-time systems is proposed. It is assumed that the state matrix belongs to a convex polytopic set. The system's stability is investigated via a homogeneous matrix polynomial of arbitrary degree of parameter dependence. It is shown that the problem can be always put in an effective LMI framework in this case.

引用

页码：1230 / 1235

页数：6

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