Finite-Time Time-Variant Feedback Stabilization of Logical Control Networks With Markov Jump Disturbances

被引：11

作者：

Ding, Xueying ^{[1
]}

Li, Haitao ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Markov processes; State feedback; Circuits and systems; Xenon; Aerospace electronics; Control design; Circuit stability; Logical control network; Markov jump disturbance; time-variant feedback stabilization; reachable set; algebraic state space representation; BOOLEAN CONTROL NETWORKS; CONTROLLABILITY; STABILITY; SYSTEMS;

D O I：

10.1109/TCSII.2019.2949558

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief investigates the finite-time time-variant state feedback stabilization of k-valued logical control networks (KVLCNs) with Markov jump disturbances via the algebraic state space representation (ASSR) method. Firstly, an equivalent Markov jump system is established for the considered KVLCNs with Markov jump disturbances by using ASSR. Secondly, a sequence of reachable sets is defined, based on which, a control design procedure is established for the time-variant state feedback stabilization of KVLCNs with Markov jump disturbances. Finally, the obtained result is applied to lac operon in the bacterium Escherichia coli.

引用

页码：2079 / 2083

页数：5

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