Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 49, Issue 5, Pages 1979-1986Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2018.2818941
Keywords
Complex dynamical networks; discrete-time systems; dynamic event-triggered scheme; synchronization control; time delays
Categories
Funding
- National Natural Science Foundation of China [61473076]
- National Science Fund for Distinguished Young Scholars [61525305]
- Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning of China
- National Priority Research Project through Qatar National Research Fund [9 166-1-031]
- Royal Society of the U.K.
- Alexander von Humboldt Foundation of Germany
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This paper is concerned with the synchronization control problem for a class of discrete time-delay complex dynamical networks under a dynamic event-triggered mechanism. For the efficiency of energy utilization, we make the first attempt to introduce a dynamic event-triggering strategy into the design of synchronization controllers for complex dynamical networks. A new discrete-time version of the dynamic event-triggering mechanism is proposed in terms of the absolute errors between control input updates. By constructing an appropriate Lyapunov functional, the dynamics of each network node combined with the introduced event-triggering mechanism are first analyzed, and a sufficient condition is then provided under which the synchronization error dynamics is exponentially ultimately bounded. Subsequently, a set of the desired synchronization controllers is designed by solving a matrix inequality. Finally, a simulation example is provided to verify the effectiveness of the proposed dynamic event-triggered synchronization control scheme.
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