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\iteman{io-port 05632689}
\itemau{Balasubramaniam, P.; Lakshmanan, S.}
\itemti{Delay-range dependent stability criteria for neural networks with Markovian jumping parameters.}
\itemso{Nonlinear Anal., Hybrid Syst. 3, No. 4, 749-756 (2009).}
\itemab
Summary: The paper is concerned with a stability analysis problem for neural networks with Markovian jumping parameters. The jumping parameters considered here are generated from a continuous-time discrete-state homogeneous Markov process, which are governed by a Markov process with discrete and finite state space. A new type of Markovian jumping matrix $P_i$ is introduced in this paper. The discrete delays are 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. Based on the new Lyapunov-Krasovskii functional, delay-interval dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example is provided to demonstrate the lower conservatism and the effectiveness of the proposed LMI conditions.
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\itemcc{}
\itemut{delay/interval-dependent stability; linear matrix inequality; Lyapunov-Krasovskii functional; Markovian jumping parameters; Hopfield neural networks}
\itemli{doi:10.1016/j.nahs.2009.06.012}
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