Robust stability analysis of stochastic delayed genetic regulatory networks with polytopic uncertainties and linear fractional parametric uncertainties

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• 作者：Wenqin Wang ; Sing Kiong Nguang ; Shouming Zhong ; Feng Liu
• 关键词：Genetic regulatory network ; Lyapunov&ndash ; Krasovskii functional ; Linear matrix inequality ; Polytopic uncertainty ; Linear fractional parametric uncertainty
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：May, 2014
• 年：2014
• 卷：19
• 期：5
• 页码：1569-1581
• 全文大小：567 K

文摘

This study examines the problem of robust stability of uncertain stochastic genetic regulatory networks with time-varying delays. The system鈥檚 uncertainties are modeled as both polytopic form and structured linear fractional form. Based on a novel augmented Lyapunov-Krasovskii functional and different integral approaches, new stability conditions have been derived. Furthermore, these stability criteria can be applicable to both fast and slow time-varying delays. Finally, a numerical example is presented to illustrate the effectiveness of the proposed stability conditions.