Asymptotic stability of probabilistic logical networks with random impulsive effects

被引：6

作者：

Chen, Bingquan ^{[1
]}

Cao, Jinde ^{[1
,2
]}

Zhong, Jie ^{[3
]}

Xiong, Lianglin ^{[4
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[2] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

[3] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

[4] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650031, Yunnan, Peoples R China

来源：

INFORMATION SCIENCES | 2021年 / 579卷

基金：

中国国家自然科学基金;

关键词：

Probabilistic logical networks; Asymptotic stability; Random impulsive effects; Homogeneous Markov chains; Invariant subsets; BOOLEAN CONTROL NETWORKS; STABILIZATION; DETECTABILITY; MATRIX;

D O I：

10.1016/j.ins.2021.08.017

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 the asymptotic set stability of probabilistic logical networks (PLNs) with random impulsive disturbances. A hybrid index model is applied to describe the impulsive PLN. Both the sequence of switching signals and the sequence of impulsive intervals are assumed to be independent and identically distributed (i.i.d.). Some novel methods are proposed to reduce the complexity of calculating invariant subsets and verifying the convergence of homogeneous Markov chains (HMCs). By sampling at impulsive instants, an HMC is obtained from the impulsive PLN, whose initial distribution and transition probability matrix (TPM) are approximately calculated. Based on the obtained HMC, the necessary and sufficient conditions for the asymptotic set stability of the impulsive PLN in hybrid domain and time domain are presented, respectively. Finally, examples are given to illustrate the main results. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：667 / 684

页数：18

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