Stability of delayed switched systems via Razumikhin technique and application to switched neural networks
Dihua Sun, Chao Liu, Zheng Yang, Xiaoyang Liu, Hongyu Yang, Junjian Huang · IMA Journal of Mathematical Control and Information · 2020
Abstract This paper investigates the globally exponential stability of delayed switched systems via Razumikhin technique. According to mode-dependent dwell average time and multiple Lyapunov functions, new Razumikhin-type stability results are deduced. In contrast to the existing Rzumikhin-type results, the proposed ones are less conservative. In order to demonstrate the applicability, some stability and stabilization results for switched neural networks with time-varying delays are also derived. Several numerical examples are also employed to show the effectiveness and superiority of the obtained results.