Journal
NONLINEAR DYNAMICS
Volume 60, Issue 4, Pages 661-675Publisher
SPRINGER
DOI: 10.1007/s11071-009-9623-8
Keywords
Delay/interval-dependent stability; Linear matrix inequality; Lyapunov-Krasovskii functional; Markovian jumping parameters; Neural networks
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Funding
- Department of Science and Technology, New Delhi India [SR/S4/MS:485/07]
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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 Pi 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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