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Zbl 1184.93093
Balasubramaniam, P.; Rakkiyappan, R.
Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays. (English)
[J] Nonlinear Anal., Hybrid Syst. 3, No. 3, 207-214 (2009). ISSN 1751-570X

Summary: The global asymptotical stability analysis problem is considered for a class of Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed delays. The parameter uncertainties are assumed to be norm bounded and the discrete delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. An alternative delay-dependent stability analysis result is established based on the Linear Matrix Inequality (LMI) technique, which can easily be checked by utilizing the numerically efficient Matlab LMI toolbox. Neither system transformation nor free weight matrix via Newton-Leibniz formula is required. Two numerical examples are provided to show that the proposed results significantly improve the allowable upper and lower bounds of delays over some existing results in the literature.

MSC 2000:: *93D09 Robust stability of control systems
60J75 Jump processes
92B20 General theory of neural networks
34B45 Boundary value problems on graphs and networks

Keywords: delay/interval-dependent stability; linear matrix inequality; Lyapunov-Krasovskii functional; Markovian jumping parameters; stochastic neural networks

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