Leader-following synchronization of complex dynamic networks via event-triggered impulsive control

This paper deals with the synchronization of complex dynamical networks. Based on the idea of event-trigger and impulsive control theory, an event-based impulsive control strategy is proposed to achieve synchronization of leader–follower coupled dynamical networks, where a class of forced impulse se...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2020-10, Vol.412, p.1-10
Main Authors: Peng, Dongxue, Li, Xiaodi
Format: Article
Language:English
Subjects:
Complex networks
Event-trigger
Impulsive control
Synchronization
Zeno behaviour
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Summary:This paper deals with the synchronization of complex dynamical networks. Based on the idea of event-trigger and impulsive control theory, an event-based impulsive control strategy is proposed to achieve synchronization of leader–follower coupled dynamical networks, where a class of forced impulse sequence is introduced to promote the synchronization. Moreover, the possible accumulations of event-times (i.e., Zeno behaviour) in control strategy can be excluded. Unlike classical event-triggered control that involve control inputs incessantly based on the sampled information in last event-triggered instant, the proposed control inputs are only carried out at some discrete event-triggered instants. In other words, it is not necessary to activate the sensor and control computation and/or communication between leader and followers when the controls do not need attention. The proposed event-triggered conditions in control strategy can be derived by solving linear matrix inequalities (LMIs). Finally, a chaotic neural network is discussed to illustrate the application of our proposed results.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2020.05.071