Stability of Equilibria of Discrete-Time Systems and Localization of Invariant Compact Sets

被引：5
|
作者：
Kanatnikov, A. N. [1 ]
机构：
[1] Bauman Moscow State Tech Univ, Moscow 105005, Russia
来源：
DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 11期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/S0012266118110022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability (or asymptotic stability) of equilibria of an time-invariant discrete-time system can be verified with the use of stability and asymptotic stability criteria stated in terms of invariant sets. An earlier proposed method reduces the verification of these criteria to some set operations. However, the method is analytical and hard to implement. We propose another approach to the verification of these criteria based on the functional method for localizing invariant compact sets.
引用
收藏
页码：1414 / 1418
页数：5
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