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Intermittent control on switched networks via {\varvec{\omega }}-matrix measure method
Authors:Ning Li  Jinde Cao
Institution:1. Department of Mathematics, Southeast University, Nanjing?, 210096, China
2. Department of Mathematics, Southeast University, Nanjing?, 210096, China
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah?, 21589, Saudi Arabia
Abstract:This paper is concerned with global exponential synchronization problem for a class of switched delay networks with interval parameters uncertainty, different from the most existing results, without constructing complex Lyapunov–Krasovskii functions; \(\omega \) -matrix measure method is firstly introduced to switched interval networks, combining Halanay inequality technique, designing proper intermittent and non-intermittent control strategy; some easy-to-verify synchronization criteria are given to ensure the global exponential synchronization of switched interval networks under arbitrary switching rule and for admissible interval uncertainties. Moreover, as an application, the proposed scheme can be applied to chaotic neural networks. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results and show the obtained results via employing \(\omega \) -measure are superior to previous results by using \(1\) -measure.
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