Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays

Liangzhi Gan, Shuo Li, Na Duan and Xiangyong Kong
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Liangzhi Gan: School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
Shuo Li: School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
Na Duan: School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou 221116, China
Xiangyong Kong: Research Center for Complex Networks and Swarm Intelligence, Jiangsu Normal University, Xuzhou 221116, China

Mathematics, 2020, vol. 8, issue 3, 1-10

Abstract: This paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter update laws are constructed for a large-scale network with uncertainties. The general complex delayed network can achieve synchronization by adaptively adjusting their feedback gains. Numerical examples are presented to further verify the effectiveness of the proposed control scheme.

Keywords: Chua system; complex dynamical networks; Lorenz system; output synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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