H-infinity State Estimation Control of Neural Networks with Distributed Time-Varying Delays

This paper is concerned with H∞ state estimation control problem of neural networks with distributed time-varying delays. The time-varying delay is need to be bounded and continuous. A novel delay-dependent concept of H∞ state estimation control is proposed to estimate the H∞ performance analysis and global asymptotic stability of the concerned neural networks. By constructing suitable Lyapunov-Krasovskii functional (LKF) and using Linear Matrix Inequality (LMI) technique, sufficient conditions for delay-dependent H∞ performances are obtained, which can be easily solved by some standard numerical algorithms. Finally numerical example is given to illustrate the usefulness and effectiveness of the proposed theoretical results.

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