Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
Robust and optimal control
Cybernetics, Second Edition: or the Control and Communication in the Animal and the Machine
Cybernetics, Second Edition: or the Control and Communication in the Animal and the Machine
Robustness analysis and tuning of synthetic gene networks
Bioinformatics
Robust filtering for gene expression time series data with variance constraints
International Journal of Computer Mathematics - Bioinformatics
Stability Analysis for Linear Switched Systems With Time-Varying Delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
A New Criterion of Delay-Dependent Asymptotic Stability for Hopfield Neural Networks With Time Delay
IEEE Transactions on Neural Networks
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Multistability is found to be an important recurring theme in synthesis biology. In this article, the multistability analysis problem is investigated by applying control theory and mathematical tools. Both the modelling and analysis issues are discussed. Specifically, the genetic regulatory networks (GRNs) with multistability are modelled as switched systems with interval time-varying delays and parameter uncertainties, where the piecewise-affine models are used to approximate the inherent non-linearities existing in the GRNs. Then, by using a novel Lyapunov functional approach and linear matrix inequality (LMI) techniques, a few delay-dependent criteria for the multistability of such genetic regulatory networks are established in the form of LMIs, which can be readily verified by using standard numerical software. A three-component network and a genetic toggle switch with bistability are employed to illustrate the applicability and usefulness of the developed theoretical results.