Stability of Deterministic and Stochastic Nonlinear Discrete-Time Systems by Means of Fixed Point Theory

被引：0

作者：

Alaviani, S. Sh ^{[1
]}

机构：

[1] Iowa State Univ, Dept Elect & Comp Engn, Ames, IA 50011 USA

来源：

2019 AMERICAN CONTROL CONFERENCE (ACC) | 2019年

基金：

美国国家科学基金会;

关键词：

CONVERSE LYAPUNOV THEOREM;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, stability analysis of deterministic and stochastic nonlinear discrete-time dynamical systems is considered. It is shown that some difficulties, such as independency or identical distribution of random variable sequence, that may arise in using Lyapunov's and LaSalle's approaches for stability analysis of discrete-time stochastic systems may be overcome by means of fixed point theory. Furthermore, suitable definitions of stability are provided. Ultimately, numerical examples are given in order to show the results.

引用

页码：3051 / 3056

页数：6

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