Open AccessSynchronization for singularity-perturbed complex networks via event-triggered impulsive control
Author(s) -
Kun Liang,
Wangli He,
Yuan Yang,
Liyu Shi
Publication year - 2022
Publication title -
discrete and continuous dynamical systems - s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022068
Subject(s) - control theory (sociology) , impulse (physics) , perturbation (astronomy) , singularity , impulse control , lyapunov function , zeno's paradoxes , upper and lower bounds , computer science , mathematics , synchronization (alternating current) , mathematical analysis , control (management) , physics , topology (electrical circuits) , classical mechanics , artificial intelligence , combinatorics , psychology , quantum mechanics , geometry , psychotherapist , nonlinear system
This paper studies synchronization of singularity-perturbed complex networks (SPCNs) with a small singular perturbation parameter (SPP) via event-triggered impulsive control (ETIC). A novel dynamic event-triggered mechanism is proposed where an auxiliary impulse parameter is introduced to regulate the triggering threshold dynamically for saving the network resource. Based on SPP-dependent Lyapunov function, some sufficient conditions involving the impulsive gain, triggering parameters and singular perturbation parameter (SPP) are obtained to synchronize the SPCNs, and the upper bound of SPP is also determined. Moreover, it proves that the Zeno behavior can be excluded. Finally, two simulations are provided to demonstrate the validity of the obtained results.
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