Abstract
In this paper, the problem of practical predefined-time synchronization in mean square (PTSMS) of stochastic complex networks (SCNs) is investigated through dynamic event-triggered control (E-TC). Different from the existing literature, this paper considers the dynamic E-TC in an a periodically intermittent control framework and employs the average control rate, which makes it easier to satisfy the conditions of the theorem. In comparison to existing finite-time and fixed-time synchronization, by introducing the time-varying function, it can be guaranteed that all states of SCNs achieve the practical PTSMS within a preset time without calculating the convergence time. Combined with stochastic analysis theory, the practical PTSMS criterion for a periodically intermittent dynamic event-triggered control (AIDE-TC) is derived by constructing a Lyapunov function with an auxiliary function. In addition, all event generators for AIDE-TC proposed in this paper ensure a minimum inter-event interval for each sample path solution, thus excluding Zeno behavior. Finally, to demonstrate that the model in this paper can be applied to real-world networks, the theoretical results are verified by an application of the Kuramoto oscillator networks.
Recommended Citation
L. Xue et al., "Aperiodically Intermittent Dynamic Event-Triggered Control for Predefined-Time Synchronization of Stochastic Complex Networks," IEEE Transactions on Network Science and Engineering, vol. 12, no. 2, pp. 970 - 981, Institute of Electrical and Electronics Engineers, Jan 2025.
The definitive version is available at https://doi.org/10.1109/TNSE.2024.3521598
Department(s)
Electrical and Computer Engineering
Second Department
Computer Science
Keywords and Phrases
event-triggered control (E-TC); intermittent control; practical predefined-time synchronization; Stochastic complex networks
International Standard Serial Number (ISSN)
2327-4697
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2025
Comments
National Natural Science Foundation of China, Grant 62203114