Asymptotic stability criteria for Delayed Genetic Regulatory Networks with Reaction-Diffusion Terms

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• 英文论文题名：Asymptotic stability criteria for Delayed Genetic Regulatory Networks with Reaction-Diffusion Terms
• 论文作者：Xiaofei Fan ; Yuanyuan Han ; Xian Zhang
• 英文论文作者：Xiaofei Fan ; Yuanyuan Han ; Xian Zhang ; Heilongjiang University
• 年：2017
• 作者机构：Heilongjiang University;
• 英文论文关键词：Delayed Genetic Regulatory Networks(DGRNs) ; Reaction-Diffusion Terms(RDTs) ; Stability Analysis ; WirtingerType Integral Inequality(WTII)
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：Q811.4
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：266k
• 原文格式：D
• 会议级别：全国

摘要

This paper is related to the problem of stability analysis for delayed genetic regulatory networks(DGRNs) with reaction-diffusion terms under Dirichlet boundary conditions. The nonlinear regulation function of DGRNs is assumed to be of the Hill form. By introducing novel integral terms in Lyapunov–Krasovskii functional and employing Wirtinger-type integral inequality, convex combination approach, Green's identity, reciprocally convex combination approach, and Wirtinger's inequality,an asymptotic stability criterion of the DGRNs is established in terms of linear matrix inequalities(LMIs). The stability criterion depends on the bounds of the delays and their derivatives. In addition, the obtained criteria are also reaction-diffusion-dependent.Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results.
This paper is related to the problem of stability analysis for delayed genetic regulatory networks(DGRNs) with reaction-diffusion terms under Dirichlet boundary conditions. The nonlinear regulation function of DGRNs is assumed to be of the Hill form. By introducing novel integral terms in Lyapunov–Krasovskii functional and employing Wirtinger-type integral inequality, convex combination approach, Green's identity, reciprocally convex combination approach, and Wirtinger's inequality,an asymptotic stability criterion of the DGRNs is established in terms of linear matrix inequalities(LMIs). The stability criterion depends on the bounds of the delays and their derivatives. In addition, the obtained criteria are also reaction-diffusion-dependent.Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results.

引文

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