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Observer-based prescribed-time synchronization and topology identification for complex networks of piecewise-smooth systems with hybrid impulses

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Abstract

This paper is concerned with the observer-based prescribed-time synchronization and topology identification issue for complex networks of nonlinear impulsive piecewise-smooth systems (IPWSs), where the stabilizing and destabilizing impulses are considered simultaneously. A prescribed-time convergence principle is developed for nonlinear IPWSs on the basis of a power exponent function. A controller with time-varying feedback gains and a topology observer are designed to realize the prescribed-time synchronization and identification objective. By applying the Lyapunov stability theory and non-smooth analysis approach, the prescribed-time synchronization conditions are addressed, and the unknown topology is identified successfully through the topology observer. Finally, a simulation example is presented to show the effectiveness of the proposed strategy and the validity of the theoretical results.

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Funding

This work was supported by the Natural Science Foundation of China (No. 12171416) and the Key Project of Natural Science Foundation of China (No. 61833005).

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066001, China

    Xinzhao Hou & Huaiqin Wu

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  3. Ahlia University, Manama, 10878, Bahrain

    Jinde Cao

Authors
  1. Xinzhao Hou
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  2. Huaiqin Wu
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  3. Jinde Cao
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Correspondence to Huaiqin Wu.

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Hou, X., Wu, H. & Cao, J. Observer-based prescribed-time synchronization and topology identification for complex networks of piecewise-smooth systems with hybrid impulses. Comp. Appl. Math. 43, 180 (2024). https://doi.org/10.1007/s40314-024-02701-x

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