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
收藏
页码：1230 / 1235
页数：6
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