Lyapunov Functions for the Set Stability and the Synchronization of Boolean Control Networks

被引：21
作者：
Chen, Bingquan [1 ]
Cao, Jinde [1 ]
Lu, Guoping [2 ,3 ]
Rutkowski, Leszek [4 ]
机构：
[1] Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Sch Math, Nanjing 210096, Peoples R China
[2] Nantong Univ, Sch Elect Engn, Nantong 226019, Peoples R China
[3] Nantong Univ, Inst Syst Sci, Nantong 226019, Peoples R China
[4] Czestochowa Tech Univ, Inst Computat Intelligence, PL-42200 Czestochowa, Poland
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Lyapunov methods; Synchronization; Stability criteria; Asymptotic stability; Circuit stability; Thermal stability; State feedback; Boolean control networks; set stability; synchronization; Lyapunov function; semi-tensor product; GLOBAL SYNCHRONIZATION; STABILIZATION;
D O I：
10.1109/TCSII.2019.2952415
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：
We propose Lyapunov functions for the set stability of Boolean networks (BNs) and control Lyapunov functions for the feedback set stabilization and the synchronization of Boolean control networks (BCNs) in this brief. Meanwhile, some propositions of these Lyapunov functions are put forward. Sufficient and necessary conditions for the set stability of BNs, the feedback set stabilization of BCNs and the synchronization of drive-response coupled BCNs in the form of Lyapunov functions are presented successively. Moreover, an algorithm is given to construct control Lyapunov functions and state feedback controllers simultaneously for the synchronization of coupled BCNs. Two examples are given to illustrate the obtained results.
引用
收藏
页码：2537 / 2541
页数：5
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