Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 51, Issue 11, Pages 5269-5278Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2020.2974315
Keywords
Synchronization; Couplings; Delays; Symmetric matrices; Delay effects; Lyapunov methods; Packet loss; Complex dynamical networks (CDNs); coupling delay; event-triggered delayed impulsive control (ETDIC); exponential synchronization; Lyapunov-Razumikhin (L-R) technique
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Funding
- National Natural Science Foundation of China [61573096, 61833005]
- Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]
- Scientific Research Foundation of Graduate School of Southeast University [YBPY1967]
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This article discusses the exponential synchronization problem in complex dynamical networks with coupling delay, proposing a novel event-triggered delayed impulsive control (ETDIC) strategy and verifying its effectiveness through numerical examples.
This article deals with the exponential synchronization problem for complex dynamical networks (CDNs) with coupling delay by means of the event-triggered delayed impulsive control (ETDIC) strategy. This novel ETDIC strategy combining delayed impulsive control with the event-triggering mechanism is formulated based on the quadratic Lyapunov function. Among them, the event-triggering instants are generated whenever the ETDIC strategy is violated and delayed impulsive control is implemented only at event-triggering instants, which allows the existence of some network problems, such as packet loss, misordering, and retransmission. By employing the Lyapunov-Razumikhin (L-R) technique and impulsive control theory, some sufficient conditions with less conservatism are proposed in terms of linear matrix inequalities (LMIs), which indicates that the ETDIC strategy can guarantee the achievement of the exponential synchronization and eliminate the Zeno phenomenon. Finally, a numerical example and its simulations are presented to verify the effectiveness of the proposed ETDIC strategy.
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