Finite-time boundedness and chaos-like dynamics of a class of Markovian jump linear systems

被引：12

作者：

Zhang, Yuping ^{[1
]}

Jiang, Tingting ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 04期

关键词：

SWITCHED NONLINEAR-SYSTEMS; STABILITY ANALYSIS; DIFFERENTIAL-EQUATIONS; STABILIZATION; NETWORKS; SYNCHRONIZATION; ATTRACTORS;

D O I：

10.1016/j.jfranklin.2019.11.050

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates dynamic properties of a class of stochastic Markovian jump linear systems. Firstly, we introduce quasi-alternative Markovian jump linear switching systems with both stable and unstable subsystems. Then, we provide sufficient conditions of finite-time boundedness by using Lyapunov methods and system future analysis. These presented conditions guarantee the existence of boundary within a given time interval. Next, we further analyse an useful dynamic property, named as finite-time chaos-like property, based on boundedness and stationary distribution characteristics. Finally, a detailed example is presented to illustrate our main results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2083 / 2098

页数：16

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