Finite-time stability analysis of stochastic switched boolean networks with impulsive effect

被引：97
|
作者：
Li, Haitao [1 ]
Xu, Xiaojing [1 ]
Ding, Xueying [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷
基金：
中国国家自然科学基金;
关键词：
Switched Boolean network; Impulsive effect; Finite-time stability; Stochastic switching; Semi-tensor product of matrices; DISSIPATIVE CONTROL; SET STABILIZATION; CONTROLLABILITY; SYSTEMS;
D O I：
10.1016/j.amc.2018.11.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper analyzes the finite time stability of stochastic switched Boolean networks (SBNs) with impulsive effect. Using the algebraic state space representation (ASSR) approach, the dynamics of SBNs with impulsive effect is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the finite-time stability of stochastic SBNs with impulsive effect, including probabilistic switching signal case and Markov jump switching signal case. The study of an illustrative example shows that the obtained new results are effective. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：557 / 565
页数：9
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