期刊
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS
卷 7, 期 -, 页码 730-739出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSIPN.2021.3125132
关键词
Synchronization; Complex networks; Symmetric matrices; Information processing; Stochastic processes; Optimization; Indexes; Complex dynamical networks; dynamic event-triggered mechanism; pinning control; synchronization control; finite-time boundedness
资金
- National Natural Science Foundation of China [61903253]
The paper discusses synchronization control for a type of nonlinear discrete time-delayed complex dynamical networks, utilizing dynamic event-triggering strategy and event-based pinning feedback control strategy, as well as the concept of finite-time boundedness in the mean square to evaluate synchronization control performance.
The paper is concerned with the synchronization control issue for a kind of nonlinear discrete time-delayed complex dynamical networks. To improve energy efficiency, a dynamic event-triggering strategy is introduced to regulate the signal transmission from the controller to the actuator. Then, the event-based pinning feedback control strategy is adopted to control a small fraction of the network nodes with hope to reduce the frequency of updating and communication in control process. Subsequently, a new concept of finite-time boundedness in the mean square is put forward to evaluate the synchronization control performance by means of a settling-like time function. Furthermore, by using the Lyapunov stability theory and the stochastic analysis technique, a sufficient condition is provided to ensure that the synchronization error is finite-time bounded in the mean square with a prescribed error upper bound in the presence of both time-delay and external noise disturbances. By solving an optimization problem with some inequality constraints, the desired controller gain matrix is parameterized to minimize the settling-like time. Finally, a numerical simulation example is carried out to illustrate the effectiveness and usefulness of the obtained theoretical results.
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