Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy

Xinna Li, Huaiqin Wu and Jinde Cao

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 647-668

Abstract: This paper discusses the prescribed-time synchronization (PTs) issue in networks of piecewise smooth (PWS) systems. Firstly, two new lemmas with respect to the prescribed-time stability are developed for nonlinear PWS systems, where the stable time can be preset arbitrarily, and is irrelevant to any control parameters and initial values. Secondly, a feedback controller and a novel event-triggered controller are designed to realize PTs objective, respectively. Different from the existing linear dynamic event-triggered condition, the adjustable internal dynamic variable is governed by a nonlinear system, which is related to the prescribed time. Thirdly, by adopting set-valued analysis technique and generalized Lyapunov functional approach, the conditions of PTs are achieved in terms of linear matrix inequalities (LMIs). Finally, two application examples to chaotic Sprott circuit are provided to certificate the correctness of the obtained results and the effectiveness of the designed control schemes.

Keywords: Complex dynamical networks; Piecewise smooth systems; Prescribed-time synchronization; Dynamic event-triggered control (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:647-668

DOI: 10.1016/j.matcom.2022.07.010

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