Stability of Time-Delay Systems
Stability of Time-Delay Systems
Novel robust stability criteria for stochastic hopfield neural networks with time delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
New passivity analysis for neural networks with discrete and distributed delays
IEEE Transactions on Neural Networks
A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays
Mathematical and Computer Modelling: An International Journal
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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This paper concerns the robust stability analysis problems for a class of nonlinear Markov jump standard genetic regulatory networks with mixed time-varying delays and parameter uncertainties. The standard genetic regulatory networks model is constructed via recurrent neural networks. The nonlinear regulatory function is assumed to satisfy the sector condition, and each regulatory function in the model has its own expression form. The mixed delays mean that the discrete delays and distributed delays are considered simultaneously. Based on linear matrix inequality techniques, sufficient conditions for robust stability of the underlying systems are first derived by using the conventional approach in the area of time-delay systems. Also, the ''delay decomposition'' approach is further utilized so as to improve the analytical results. Two numerical examples are exploited to verify the obtained theoretical findings.