Physics

Channel (broadcasting)

Lyapunov stability

Event (particle physics)

Computer network

Mathematics

Structural engineering

Statistics

Synchronization networks

Engineering

Mathematical analysis

Artificial intelligence

Control (management)

Class (philosophy)

Synchronization (alternating current)

Computer science

Quantum mechanics

Bounded function

Control theory (sociology)

Discrete time and continuous time

Node (physics)

IEEE Transactions on Cybernetics

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.

Synchronization Control for A Class of Discrete Time-Delay Complex Dynamical Networks: A Dynamic Event-Triggered Approach