Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Hongkun Ma and Chengdong Yang
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Hongkun Ma: School of Economics, Shandong Normal University, Jinan 250358, China
Chengdong Yang: School of Information Science and Technology, Linyi University, Linyi 276005, China

Mathematics, 2022, vol. 10, issue 14, 1-11

Abstract: This paper deals with the leader-following synchronization of first-order, semi-linear, complex spatio-temporal networks. Firstly, two sorts of complex spatio-temporal networks based on hyperbolic partial differential equations (CSTNHPDEs) are built: one with a single weight and the other with multi-weights. Then, a new distributed controller is designed to address CSTNHPDE with a single weight. Sufficient conditions for the synchronization and exponential synchronization of CSTNHPDE are presented by showing the gain ranges. Thirdly, the proposed distributed controller addresses of CSTNHPDE with multi-weights, and gain ranges are obtained for synchronization and exponential synchronization, respectively. Finally, two examples show the effectiveness and good performance of the control methods.

Keywords: synchronization; complex networks; multi-weights; hyperbolic partial differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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