Aperiodically Intermittent Dynamic Event-Triggered Control for Predefined-Time Synchronization of Stochastic Complex Networks

IF 7.9 2区计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY IEEE Transactions on Network Science and Engineering Pub Date : 2024-12-25 DOI:10.1109/TNSE.2024.3521598

Lei Xue;Haoyu Zhou;Yongbao Wu;Jian Liu;Donald C. Wunsch

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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 aperiodically 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 aperiodically 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.

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随机复杂网络的非周期性间歇动态事件触发控制

本文通过动态事件触发控制（E-TC）研究了随机复杂网络（SCNs）中均方（PTSMS）的实际预定义时间同步问题。与已有文献不同的是，本文将动态E-TC考虑在非周期性间歇控制框架下，并采用平均控制率，使得定理的条件更容易满足。与现有的有限时间和固定时间同步相比，通过引入时变函数，可以保证scn的所有状态在预设时间内达到实际的PTSMS，而不需要计算收敛时间。结合随机分析理论，通过构造带有辅助函数的Lyapunov函数，推导出非周期性间歇动态事件触发控制（aid - tc）的实用PTSMS判据。此外，本文提出的aid - tc的所有事件生成器都保证了每个样本路径解的最小事件间间隔，从而排除了芝诺行为。最后，为了证明本文模型可以应用于实际网络，通过Kuramoto振荡器网络的应用验证了理论结果。

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来源期刊

IEEE Transactions on Network Science and Engineering Engineering-Control and Systems Engineering

CiteScore

12.60

自引率

9.10%

发文量

393

期刊介绍： The proposed journal, called the IEEE Transactions on Network Science and Engineering (TNSE), is committed to timely publishing of peer-reviewed technical articles that deal with the theory and applications of network science and the interconnections among the elements in a system that form a network. In particular, the IEEE Transactions on Network Science and Engineering publishes articles on understanding, prediction, and control of structures and behaviors of networks at the fundamental level. The types of networks covered include physical or engineered networks, information networks, biological networks, semantic networks, economic networks, social networks, and ecological networks. Aimed at discovering common principles that govern network structures, network functionalities and behaviors of networks, the journal seeks articles on understanding, prediction, and control of structures and behaviors of networks. Another trans-disciplinary focus of the IEEE Transactions on Network Science and Engineering is the interactions between and co-evolution of different genres of networks.