|Improved Robust Passive Criteria of Neural Networks with Discrete and Distributed Delays Based on Extended Reciprocally Convex Matrix Inequality
Hui-Jun Yu, Yong He*, and Min Wu
International Journal of Control, Automation, and Systems, vol. 16, no. 5, pp.2480-2488, 2018
Abstract : "This paper investigates the passive problem of neural networks with discrete and distributed delays. At
first, a novel Lyapunov-Krasovskii functional (LKF) is constructed via introducing a delay-product-type term such
that the delay change rate information is abundantly considered. Then, an extended reciprocally convex matrix
inequality combined with the Wirtinger-based integral inequality with less conservatism is employed to realize the
tight estimation for the derivative of the LKF. As a result, two improved passive criteria for the neural networks with
discrete and distributed delays are presented. Finally, two numerical examples are given to show the effectiveness
and improvements of our methods."
Keyword : "Delay, delay-product-type Lyapunov-Krasovskii functional, extended reciprocally convex matrix inequality, neural networks, passivity."