Lyapunov-Based Approach to Sampled-Data Set Stabilization of Constrained Boolean Control Networks

被引:0
作者
Gu Linguo [1 ]
Kong Xiangshan [2 ]
Li Haitao [2 ]
机构
[1] Weifang Engn Vocat Coll, Qingzhou 262500, Peoples R China
[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源
2022 41ST CHINESE CONTROL CONFERENCE (CCC) | 2022年
基金
中国国家自然科学基金;
关键词
Boolean control networks; Sampled-data control; Set stabilization; Lyapunov function; Algebraic state space representation; FEEDBACK STABILIZATION; CONTROL DESIGN; STATE; SYSTEMS; CONTROLLABILITY; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Lyapunov functions for sampled-data set stabilization of constrained Boolean control networks (BCNs) are investigated in this paper. The main mathematical tool is semi-tensor product of matrices, which is used to convert the dynamics of constrained BCNs under nonuniform sampled-data control (SDC) into a switched Boolean network (BN). Using the techniques of Lyapunov function and average dwell time, several sufficient conditions are proposed for the global set stability of switched BN. The obtained results are applied to the Battle of Sex with 2-memory.
引用
收藏
页码:1635 / 1640
页数:6
相关论文
共 38 条
[1]   Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function [J].
Cao, YY ;
Lin, ZL .
AUTOMATICA, 2003, 39 (07) :1235-1241
[2]  
Cheng D., 2013, IEEE T NEURAL NETWOR, V25, P1335
[3]  
Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
[4]   Interval type-2 fuzzy tracking control for nonlinear systems via sampled-data controller [J].
Du, Zhenbin ;
Yan, Zhenzheng ;
Zhao, Zhen .
FUZZY SETS AND SYSTEMS, 2019, 356 (92-112) :92-112
[5]   Controllability of Boolean control networks with state-dependent constraints [J].
Guo, Yuqian .
SCIENCE CHINA-INFORMATION SCIENCES, 2016, 59 (03)
[6]   METABOLIC STABILITY AND EPIGENESIS IN RANDOMLY CONSTRUCTED GENETIC NETS [J].
KAUFFMAN, SA .
JOURNAL OF THEORETICAL BIOLOGY, 1969, 22 (03) :437-&
[7]   Time-variant Feedback Stabilization of Constrained Delayed Boolean Networks Under Nonuniform Sampled-data Control [J].
Kong, Xiangshan ;
Li, Haitao .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2021, 19 (05) :1819-1827
[8]   Algebraic formulation and topological structure of Boolean networks with state-dependent delay [J].
Li, Haitao ;
Zheng, Yating ;
Alsaadi, Fuad E. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 :87-97
[9]   LYAPUNOV-BASED STABILITY AND CONSTRUCTION OF LYAPUNOV FUNCTIONS FOR BOOLEAN NETWORKS [J].
Li, Haitao ;
Wang, Yuzhen .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2017, 55 (06) :3437-3457
[10]   Output reachability analysis and output regulation control design of Boolean control networks [J].
Li, Haitao ;
Wang, Yuzhen ;
Guo, Peilian .
SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (02)