Intermittent control strategy for synchronization of fractional-order neural networks via piecewise Lyapunov function method |
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| Authors: | Ying Yang Yong He Min Wu |
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| Institution: | 1. School of Automation, Central South University, Changsha 410083, China;2. School of Automation, China University of Geosciences, Wuhan 430074, China;3. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China |
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| Abstract: | In this paper, the synchronization problem of fractional-order neural networks (FNNs) with chaotic dynamics is investigated via the intermittent control strategy. Two types of intermittent control methods, the aperiodic one and the periodic one, are applied to achieve the synchronization of the considered systems. Based on the dynamic characteristics of the intermittent control systems, the piecewise Lyapunov function method is employed to derive the synchronization criteria with less conservatism. The results under the aperiodically intermittent control show more generality than the ones via the periodically intermittent control. For each of the aperiodic and periodic cases, a simple controller design process is presented to show how to design the corresponding intermittent controller. Finally, two numerical examples are provided to demonstrate the effectiveness of the obtained theoretical results. |
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| Keywords: | Corresponding author at: School of Automation China University of Geosciences Wuhan 430074 China |
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