标题：New Global Exponential Stability Criteria for Genetic Regulatory Networks with Mixed Delays
作者：Yin Lizi; Liu Yungang
作者机构：[Yin Lizi; Liu Yungang] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.; [Yin Lizi] Univ Jinan, Sch Math Sci, Jinan 250022, Pe 更多
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：Genetic regulatory network; time-varying delays; continuous distributed; delays; global exponential stability; Lyapunov-Krasovkii functional;; Linear matrix inequality
摘要：In this paper, the global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovkii functional, new conditions of delay dependent stability are obtained in form of linear matrix inequality (LMI). Bounded below of the derivatives of time-varying delay is taken into account for the first time in genetic networks stability analysis, and the main results with less conservatism are established by adopting interactive convex combination method to estimate the upper bound of derivative function of Lyapunov-Krasovkii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.