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State estimation for Markovian jumping recurrent neural networks with interval time-varying delays

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Abstract

The paper is concerned with the state estimation problem for a class of neural networks with Markovian jumping parameters. The neural networks have a finite number of modes and the modes may jump from one to another according to a Markov chain. The main purpose is to estimate the neuron states, through available output measurements such that for all admissible time-delays, the dynamics of the estimation error are globally stable in the mean square. A new type of Markovian jumping matrix P i is introduced in this paper. 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. Based on the new Lyapunov–Krasovskii functional, delay-interval dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed LMI conditions.

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Correspondence to P. Balasubramaniam.

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The work of authors was supported by Department of Science and Technology, New Delhi India under the sanctioned No. SR/S4/MS:485/07.

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Balasubramaniam, P., Lakshmanan, S. & Jeeva Sathya Theesar, S. State estimation for Markovian jumping recurrent neural networks with interval time-varying delays. Nonlinear Dyn 60, 661–675 (2010). https://doi.org/10.1007/s11071-009-9623-8

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  • DOI: https://doi.org/10.1007/s11071-009-9623-8

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