New delay-dependent stability criteria for uncertain genetic regulatory networks with time-varying delays

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• 作者：Wenqin Wang^a ; ^{wenqinwang123@163.com}  ; [Author Vitae] ; Shouming Zhong^a ; ^b  ; [Author Vitae] ; Feng Liu^b  ; [Author Vitae]
• 关键词：Genetic regulatory network ; Parameter uncertainty ; Time-varying delay ; Linear matrix inequality ; Lyapunov&ndash ; Krasovskii functional
• 刊名：Neurocomputing
• 出版年：2012
• 期刊代码：95_09252312
• 类别：cp
• 出版时间：15 September, 2012
• 卷：93
• 期：Complete
• 页码：19-26
• 文件大小：287 K

摘要

This study is concerned with the problem of robust stability of uncertain genetic regulatory networks with time-varying delays. The parameter uncertainties are modeled as having a structured linear fractional form. By choosing an augmented novel Lyapunov-Krasovskii functional which contains some triple integral terms and using the lower bound lemma rather than the Jensen inequality lemma, less conservative condition are obtained. What's more, the criteria can be applicable to both fast and slow time-varying delays. Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results.