Stability and Guaranteed Cost Analysis of Time-Triggered Boolean Networks

被引：70
作者：
Meng, Min [1 ]
Lam, James [2 ]
Feng, Jun-e [1 ]
Cheung, Kie Chung [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2018年 / 29卷 / 08期
基金：
中国博士后科学基金;
关键词：
Average dwell time; guaranteed cost analysis; semitensor product (STP); time-triggered Boolean networks (BNs); BIOLOGICAL NETWORKS; MODE TRANSITIONS; LINEAR-SYSTEMS; CONTROLLABILITY; STATE; OBSERVABILITY; STABILIZATION; DESIGN;
D O I：
10.1109/TNNLS.2017.2737649
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates stability and guaranteed cost of time-triggered Boolean networks (BNs) based on the semitensor product of matrices. The time triggering is generated by mode-dependent average dwell-time switching signals in the BNs. With the help of the copositive Lyapunov function, a sufficient condition is derived to ensure that the considered network is globally stable under a designed average dwell-time switching signal. Subsequently, an infinite time cost function is further discussed and its bound is presented according to the obtained stability result. Numerical examples are finally given to show the feasibility of the theoretical results.
引用
收藏
页码：3893 / 3899
页数：7
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