Stability of Boolean networks with state-dependent random impulses  

作　　者：Ya-wen SHEN Yu-qian GUO Wei-hua GUI 

机构地区：[1]School of Automation,Central South University,Changsha 410083,China

出　　处：《Frontiers of Information Technology & Electronic Engineering》2021年第2期222-231,共10页信息与电子工程前沿（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.61873284,61473315,and 61321003)。

摘　　要：We investigate the stability of Boolean networks(BNs)with impulses triggered by both states and random factors.A hybrid index model is used to describe impulsive BNs.First,several necessary and sufficient conditions for forward completeness are obtained.Second,based on the stability criterion of probabilistic BNs and the forward completeness criterion,the necessary and sufficient conditions for the finite-time stability with probability one and the asymptotical stability in distribution are presented.The relationship between these two kinds of stability is discussed.Last,examples and time-domain simulations are provided to illustrate the obtained results.

关 键 词：Boolean network with impulses Forward completeness Finite-time stability with probability one Asymptotical stability in distribution 

分 类 号：O233[理学—运筹学与控制论]