A Sufficient Condition for the Stability of Discrete-Time Systems With State-Dependent Coefficient Matrices

被引：5
|
作者：
Yuno, Tsuyoshi [1 ]
Ohtsuka, Toshiyuki [2 ]
机构：
[1] Osaka Univ, Dept Syst Innovat, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan
[2] Kyoto Univ, Dept Syst Sci, Grad Sch Informat, Sakyo Ku, Kyoto 6068501, Japan
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 01期
基金：
日本学术振兴会;
关键词：
Algebraic methods; asymptotic stability; discrete-time systems; Lie algebra; nonlinear systems; SWITCHED SYSTEMS;
D O I：
10.1109/TAC.2013.2270318
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
There is no systematic method of checking the stability of general nonlinear systems. In this study, we focus on discrete-time autonomous systems with state-dependent coefficient matrices. Sufficient conditions for local and global asymptotic stabilities are given for upper-triangularizable systems. The transformation matrix for triangularization is not required explicitly for checking such conditions. Moreover, the system may have nondifferentiability at the origin, which is an advantage of our approach over Lyapunov's indirect method.
引用
收藏
页码：243 / 248
页数：6
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