Robust Stability of Discrete-Time Randomly Switched Delayed Genetic Regulatory Networks with Known Sojourn Probabilities

被引：0
|
作者：
Wan, Xiongbo [1 ]
Ren, Chuanyu [1 ]
An, Jianqi [1 ]
机构：
[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
来源：
JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS | 2016年 / 20卷 / 07期
基金：
中国国家自然科学基金;
关键词：
genetic regulatory networks (GRNs); known sojourn probabilities; discrete Wirtinger-based inequality; linear matrix inequalities (LMIs);
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This study investigates stability problems related to discrete-time randomly switched genetic regulatory networks (GRNs) with time-varying delays. A new discrete-time randomly switched GRN model with known sojourn probabilities is proposed. By utilizing the discrete Wirtinger-based inequality and a newly proposed constraint condition on the feedback regulatory function, which have not been fully used in stability analysis of discrete-time GRNs, we establish delay-dependent stability and robust stability criteria. These criteria possess the sojourn probabilities of randomly switched GRNs. Two numerical examples are provided to demonstrate the effectiveness of the established results.
引用
收藏
页码：1094 / 1102
页数：9
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