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Intermittent control for finite-time synchronization of fractional-order complex networks
Lingzhong Zhang1, Jie Zhong2, Jianquan Lu3
1School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, China.
Abstract:
This paper is concerned with the finite-time synchronization problem for fractional-order complex dynamical networks (FCDNs) with intermittent control. Using the definition of Caputo's fractional derivative and the properties of Beta function, the Caputo fractional-order derivative of the power function is evaluated. A general fractional-order intermittent differential inequality is obtained with fewer additional constraints. Then, the criteria are established for the finite-time convergence of FCDNs under intermittent feedback control, intermittent adaptive control and intermittent pinning control indicate that the setting time is related to order of FCDNs and initial conditions. Finally, these theoretical results are illustrated by numerical examples.
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