Synchronization of time-varying coupled complex networks via adaptive pinning control

Hai Lin and Jincheng Wang
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Hai Lin: Key Laboratory of System Control and Information Processing, Ministry of Education of China, Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China‡Autonomous Systems and Intelligent Control International Joint Research Center, Xi’an Technological University, Xi’an 710021, China
Jincheng Wang: Key Laboratory of System Control and Information Processing, Ministry of Education of China, Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China†Shanghai Engineering Research Center of Intelligent Control and Management, Shanghai 200240, China

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 12, 1-16

Abstract: Pinning synchronization of complex networks with two different kinds of time-varying coupling are studied in this paper. Inner coupling of the state variables and outer coupling in the complex network are taken into consideration. Based on the Lyapunov function theory, some general criteria and a simplified corollary for ensuring network synchronization are proposed. Linear pinning controllers, adaptive pinning controllers and adaptive coupling strength are designed for achieving complex network time-varying synchronization. Furthermore, the analytic relationship between control parameters is studied. Numerical simulations further illustrate the effectiveness of conclusions.

Keywords: Pinning synchronization; time-varying coupling; Lyapunov function theory; adaptive controllers (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121501643

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