Regular Papers
International Journal of Control, Automation and Systems 2020; 18(7): 1853-1862
Published online January 22, 2020
https://doi.org/10.1007/s12555-019-0536-0
© The International Journal of Control, Automation, and Systems
Improved Results on Stability Analysis for Delayed Neural Network
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.
Keywords Delay-dependent stability, improved Jensen inequality, neural network, time-varying delay
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Regular Papers
International Journal of Control, Automation and Systems 2020; 18(7): 1853-1862
Published online July 1, 2020 https://doi.org/10.1007/s12555-019-0536-0
Copyright © The International Journal of Control, Automation, and Systems.
Improved Results on Stability Analysis for Delayed Neural Network
Jian-An Wang*, Li Fan, and Xin-Yu Wen
Taiyuan University of Science and Technology
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.
Keywords: Delay-dependent stability, improved Jensen inequality, neural network, time-varying delay
Vol. 23, No. 3, pp. 683~972
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