Robust Control of Uncertain Stochastic Recurrent Neural Networks with Time-varying Delay

Authors:
Wenwu Yu;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing, China 210096 and Department of Electrical Engineering, Columbia University, New York, USA 10027;Department of Mathematics, Southeast University, Nanjing, China 210096
Venue:
Neural Processing Letters
Year:
2007

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Abstract

In this paper, robust control of uncertain stochastic recurrent neural networks with time-varying delay is considered. A novel control method is given by using the Lyapunov functional method and linear matrix inequality (LMI) approach. Several delay-independent and delay-dependent sufficient conditions are then further derived to ensure the global asymptotical stability in mean square for the uncertain stochastic recurrent neural networks, and the estimation gains can also be obtained. Numerical examples are constructed to verify the theoretical analysis in this paper.