Delay-dependent asymptotic stability criteria for genetic regulatory networks with impulsive perturbations
作者： S. Senthilraj , R. Raja , Quanxin Zhu , R. Samidurai , Hongwei Zhou
DOI: 10.1016/J.NEUCOM.2016.07.018
关键词:
摘要: This paper considers the problem for asymptotic stability of genetic regulatory networks with impulse control using delay partitioning approach. By direct Lyapunov method, a new Lyapunov-Krasovskii functional is introduced based on decomposition Time delays here are assumed to be time-varying and belong given intervals. When dealing time derivative functional, tight integral inequality adopted bounding cross terms. Then, less conservative delay-dependent criterion formulated in terms linear matrix inequalities (LMIs), which can easily solved by Matlab LMI toolbox. Finally, proposed method validated through numerical simulation, shows effectiveness presented criteria.
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