Fixed-Time Synchronization of Complex Networks via Intermittent Control Without Sign Function

This paper investigates the fixed-time synchronization problem of complex networks. A novel switching controller is proposed to solve the problem. The designed controller in this paper only needs intermittently to pin a few of nodes, which could reduce the control time and save the system’s energy....

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Bibliographic Details
Published in:Journal of systems science and complexity 2022-10, Vol.35 (5), p.1748-1760
Main Authors: Gao, Jie, Zhao, Junchan
Format: Article
Language:English
Subjects:
Complex Systems
Control
Control methods
Control systems design
Controllers
Liapunov functions
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
Time synchronization
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Summary:This paper investigates the fixed-time synchronization problem of complex networks. A novel switching controller is proposed to solve the problem. The designed controller in this paper only needs intermittently to pin a few of nodes, which could reduce the control time and save the system’s energy. Moreover, compared with the existing control methods for the fixed-time synchronization, the novel controller does not use the sign function, which could avoid the chattering behaviors. By constructing a Lyapunov function and designing a comparison system, some sufficient conditions are obtained to achieve the fixed-time synchronization. Finally, the numerical simulations could verify the effectiveness and feasibility of the proposed control approaches.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-022-1016-9