Prescribed-Time Synchronization for Complex Dynamic Networks of Piecewise Smooth Systems: A Hybrid Event-Triggering Control Approach

• Xueqing Zhao ^[1] ; Huaiqin Wu ^[1] ; Jinde Cao ^[2] ; Lifei Wang ^[1]
  1. [1] Yanshan University

     Yanshan University

     China

     
  2. [2] Ahlia University

     Ahlia University

     Baréin

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
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• Resumen

  • In this paper, the prescribed-time synchronization (PTs) is explored for complex dynamic networks (CDNs) of piecewise smooth systems (PWSs) by adopting a hybrid control strategy, which is made up of the event-triggered control (ETC) scheme and the feedback control approach. Firstly, by applying a novel piecewise smooth function with exponential type, a new result about the prescribed-time stability (PTS) is developed for PWSs, and the convergence time is pre-selected based on actual requirements of user. Secondly, event-triggering mechanism (ETM) is designed. By utilizing generalized Lyapunov stability theory and set-valued analysis principle, the sufficient conditions with respect to PTs are proposed in terms of linear matrix inequalities (LMIs). In addition, the exclusion of the Zeno behavior is proved for the designed ETM, rigorously. Eventually, a practical example , where Chua’s circuit system is introduced as node of CDNs, is provided to validate the proposed control scheme.