On Robust Stability of Stochastic Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach

Robust stability serves as an important regulation mechanism in system biology and synthetic biology. In this paper, the robust stability analysis problem is investigated for a class of nonlinear delayed genetic regulatory networks with parameter uncertainties and stochastic perturbations. The nonlinear function describing the feedback regulation satisfies the sector condition, the time delays exist in both translation and feedback regulation processes, and the state-dependent Brownian motions are introduced to reflect the inherent intrinsic and extrinsic noise perturbations. The purpose of the addressed stability analysis problem is to establish some easy-to-verify conditions under which the dynamics of the true concentrations of the messenger ribonucleic acid (mRNA) and protein is asymptotically stable irrespective of the norm-bounded modeling errors. By utilizing a new Lyapunov functional based on the idea of "delay fractioning", we employ the linear matrix inequality (LMI...

• Type: Journal
• Year: 2010
• Where: TSMC
• Authors: Yao Wang, Zidong Wang, Jinling Liang
• Keywords: Artificial Intelligence, Regulatory Networks, Robust Stability, Stability Analysis Problem, TSMC 2010