Stochastic Stability of Genetic Networks With Disturbance Attenuation
作者： Chunguang Li , Luonan Chen , Kazuyuki Aihara
DOI: 10.1109/TCSII.2007.901631
关键词:
摘要: Gene regulation is an intrinsically noisy process, which subject to intracellular and extracellular noise perturbations environment fluctuations. In this brief, we consider a stochastic nonlinear model for genetic regulatory networks with SUM functions. Based on the Lyapunov method Lur'e system approach, sufficient conditions stability of disturbance attenuation are derived. The case time delays owing slow processes transcription, translation, translocation also studied. All results presented in terms linear matrix inequalities (LMIs).
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