Stability Analysis for Switched Boolean Networks Under Arbitrary Switching Signals

被引：142

作者：

Li, Haitao ^{[1
]}

Wang, Yuzhen ^{[1
]}

Liu, Zhenbin ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Pointwise stabilizability; semi-tensor product; stability; switched Boolean network (SBN); switching point reachability; FEEDBACK STABILIZATION; CONTROLLABILITY; STABILIZABILITY; OBSERVABILITY; REACHABILITY; SYSTEMS; DESIGN;

D O I：

10.1109/TAC.2014.2298731

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

This note investigates the stability of switched Boolean networks (SBNs) under arbitrary switching signal by using the tool of semi-tensor product of matrices. First, an algebraic expression is given for the SBN via the semi-tensor product. Based on it, a necessary and sufficient condition is presented for the switching point reachability of the system. Second, using the switching point reachability, the pointwise stabilizability is studied, and a necessary and sufficient condition is obtained. Finally, the global stability of SBNs under arbitrary switching signal is investigated, and an easily verifiable necessary and sufficient condition is presented. Two illustrative examples are presented to show that the main results are effective in analyzing the stability of SBNs.

引用

页码：1978 / 1982

页数：5

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