Semi-global synchronization of stochastic mixed time-delay systems with Lévy Noise under aperiodic intermittent delayed sampled-data control

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Automatica Pub Date : 2024-10-02 DOI:10.1016/j.automatica.2024.111963

Ning Zhang , Zheng Wang , Ju H. Park , Wenxue Li

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Abstract

This article studies the semi-globally exponential synchronization of stochastic mixed time-delay systems with Lévy noise (SMTDSLN) under aperiodic intermittent delayed sampled-data control (AIDSC). Thereinto, a new aperiodic intermittent sampled-data control, which is aperiodically intermittent and samples at a past interval but not a moment, is proposed. Secondly, considering the coupling factor, we utilize the vertex Lyapunov–Krasovskii (L–K) functional and combine the graph theory method to construct the global L–K functional and give its properties. This construction method is introduced for the first time in studying the semi-globally exponential synchronization of SMTDSLN. Next, combined with Halanay inequality, sufficient conditions for semi-global synchronization of SMTDSLN under AIDSC are given, including estimations of the non-control rate and the relationship between the initial condition range and AIDSC. Finally, we apply these results to bidirectional associative memory neural networks (BAMNNs) and give two corresponding numerical examples to demonstrate the validity of the theoretical results.

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在非周期性间歇延迟采样数据控制下具有莱维噪声的随机混合时延系统的半全局同步化

本文研究了在非周期性间歇延迟采样数据控制（AIDSC）下，具有莱维噪声的随机混合时延系统（SMTDSLN）的半全局指数同步问题。在此基础上，我们提出了一种新的非周期性间歇采样数据控制，它是一种非周期性间歇控制，采样间隔是过去的，而不是现在的。其次，考虑到耦合因素，我们利用顶点 Lyapunov-Krasovskii（L-K）函数并结合图论方法构建了全局 L-K 函数并给出了其性质。这种构造方法是在研究 SMTDSLN 的半全局指数同步时首次引入的。接着，结合哈拉内不等式，给出了 SMTDSLN 在 AIDSC 下半全局同步的充分条件，包括非控制率的估计以及初始条件范围与 AIDSC 之间的关系。最后，我们将这些结果应用于双向关联记忆神经网络（BAMNN），并给出了两个相应的数值示例，以证明理论结果的正确性。

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.