Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control

Yanjie Ji and Zhaoyan Wu
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Yanjie Ji: School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China
Zhaoyan Wu: School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China

Mathematics, 2021, vol. 9, issue 17, 1-10

Abstract: In this paper, outer synchronization of complex-variable networks with complex coupling is considered. Sufficient conditions for achieving outer synchronization using static impulsive pinning controllers are first derived according to the Lyapunov function method and stability theory of impulsive differential equations. From these conditions, the necessary impulsive gains and intervals for given networks can be easily calculated. Further, an adaptive strategy is introduced to design universal controllers and avoid repeated calculations for different networks. Notably, the estimation algorithms of the impulsive gains and intervals are provided. Finally, three numerical examples are performed to verify the effectiveness of the main results.

Keywords: outer synchronization; dynamical network; complex variable; impulsive pinning control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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