Abstract
This paper is concerned with stability analysis problem for uncertain stochastic neural networks with interval time-varying delays. The parameter uncertainties are assumed to be norm bounded and the 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. Both the cases of the time-varying delays which may be differentiable and may not be differentiable are considered in this paper. Based on the Lyapunov–Krasovskii functional and stochastic stability theory, delay/interval-dependent stability criteria are obtained in terms of linear matrix inequalities. Some stability criteria are formulated by means of the feasibility of a linear matrix inequality (LMI), by introducing some free-weighting matrices. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed LMI conditions.
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Pradeep, C., Vinodkumar, A. & Rakkiyappan, R. Delay-dependent exponential stability results for uncertain stochastic Hopfield neural networks with interval time-varying delays. Arab. J. Math. 1, 227–239 (2012). https://doi.org/10.1007/s40065-012-0005-6
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DOI: https://doi.org/10.1007/s40065-012-0005-6