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

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Abstract

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.

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Author information

Authors and Affiliations

  1. School of Science, Southwest Petroleum University, Chengdu, 610500, China

    Jie Gao

  2. School of Science, Hunan University of Technology and Business, Changsha, 410205, China

    Junchan Zhao

  3. Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Changsha, 410205, China

    Junchan Zhao

Authors
  1. Jie Gao
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  2. Junchan Zhao
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Corresponding author

Correspondence to Junchan Zhao.

Additional information

This research was supported in part by the National Social Science Fund under Grant No. 18BTJ025, in part by the Scientific Research Starting Project of SWPU under Grant No. 2019QHZ018, and in part by the Youth Innovation Team of SWPU under Grant No. 2019CXTD08.

This paper was recommended for publication by Editor HAN Jing.

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Gao, J., Zhao, J. Fixed-Time Synchronization of Complex Networks via Intermittent Control Without Sign Function. J Syst Sci Complex 35, 1748–1760 (2022). https://doi.org/10.1007/s11424-022-1016-9

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  • DOI: https://doi.org/10.1007/s11424-022-1016-9

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