Journal
CHINESE JOURNAL OF PHYSICS
Volume 55, Issue 5, Pages 1953-1971Publisher
ELSEVIER
DOI: 10.1016/j.cjph.2017.08.021
Keywords
Average dwell time approach; Finite-time stability; Lyapunov-Krasivskii functional; Memristor; Switched neural networks
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In this paper we investigated the problem of the finite-time stability for a class of memristor based switched neural networks with time-varying delays. A triple integral term and term with the delay information are introduced in the Lyapunov-Krasovskii functional (LKF). Based on the average dwell time technique, mode-dependent average dwell time technique and using a free-matrix-based integral inequality and Jensen's inequalities are used to estimate the upper bound of the derivative of the LKF. Finally, two numerical examples are provided to verify the effectiveness and benefit of the proposed criterion. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.
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