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Improved Results on Stability Analysis for Delayed Neural Network

Jian-An Wang*, Li Fan, and Xin-Yu Wen
International Journal of Control, Automation, and Systems, vol. 18, no. 7, pp.1853-1862, 2020

Abstract : This paper deals with the delay-dependent stability analysis problem for neural network with a timevarying delay. A proper Lyapunov-Krasovskii functional (LKF) is established by revealing the features of the improved Jensen integral inequality and considering two complementary integral couples with more cross information. Based on the improved Jensen inequality, a generalized integral inequality involving more free matrices is developed. With the help of the new LKF and integral inequality, some improved stability conditions with less conservatism are derived in terms of linear matrix inequality (LMI). The efficiency of theoretical results is verified by three typical numerical examples.

Keyword : Delay-dependent stability, improved Jensen inequality, neural network, time-varying delay

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