Stability of Time-Delay Systems
Stability of Time-Delay Systems
Automatica (Journal of IFAC)
Stochastic delay differential equations for genetic regulatory networks
Journal of Computational and Applied Mathematics
Modelling of Biochemical Reactions by Stochastic Automata Networks
Electronic Notes in Theoretical Computer Science (ENTCS)
Stability analysis of uncertain genetic sum regulatory networks
Automatica (Journal of IFAC)
Further improvement on synchronization stability of complex networks with coupling delays
International Journal of Computer Mathematics - COMPLEX NETWORKS
Novel robust stability criteria for stochastic hopfield neural networks with time delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach
IEEE Transactions on Fuzzy Systems
New Delay-Dependent Exponential Stability for Neural Networks With Time Delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Using gene expression programming to infer gene regulatory networks from time-series data
Computational Biology and Chemistry
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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) technique to derive delay-dependent sufficient conditions ensuring the robust stability of the gene regulatory networks. Note that the obtained results are formulated in terms of LMIs that can easily be solved using standard software packages. Simulation examples are exploited to illustrate the effectiveness of the proposed design procedures.