Robust stability criteria for uncertain genetic regulatory networks with time-varying delays
نویسندگان
چکیده
This paper presents the robust stability criteria for uncertain genetic regulatory networks with time-varying delays. One key point of the criterion is that the decomposition of the matrix D̃ into D̃ = D̃1 + D̃2. This decomposition corresponds to a decomposition of the delayed terms into two groups: the stabilizing ones and the destabilizing ones. This technique enables one to take the stabilizing effect of part of the delayed terms into account. Meanwhile, by choosing an appropriate new Lyapunov functional, a new delay-dependent stability criteria is obtained and formulated in terms of linear matrix inequalities (LMIs). Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results. Keywords—Genetic regulatory network; Time-varying delay; Uncertain system; Lyapunov-Krasovskii functional
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تاریخ انتشار 2012