基于异步间歇采样数据分散控制的半马尔可夫跳变多加权耦合系统同步

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-20 DOI:10.1016/j.cnsns.2025.109329

Yan Liu , Haoming Han , Di Wu , Hui Zhou

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引用次数: 0

摘要

采用异步间歇采样数据分散控制（AISDC）研究了具有半马尔可夫跳变的随机多加权耦合系统的同步问题。值得注意的是，在实践中，人们考虑了半马尔可夫跳变，使系统能够处理复杂的变化。此外，AISDC首先克服了简单的间歇控制或采样数据控制的缺点，可以避免潜在的交通拥堵，降低控制成本。在此基础上，结合图论和李亚普诺夫方法，给出了同步的充分条件。将理论结果应用于具有多重权值和半马尔可夫跳变的耦合蔡氏电路，并给出了同步准则。最后，通过数值仿真验证了所得结果的有效性。

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Synchronization of multi-weighted coupled systems with semi-Markov jump via asynchronously intermittent sampled-data decentralized control

The synchronization of stochastic multi-weighted coupled systems with semi-Markov jump is investigated via asynchronously intermittent sampled-data decentralized control (AISDC). It is worth noting that semi-Markov jump is considered to make systems deal with complex changes in practice. Moreover, AISDC is first designed to overcome the weaknesses of simple intermittent control or sampled-data control, which can avoid potential traffic congestion and decrease control cost. Based on this novel controller, the sufficient conditions of synchronization are presented by combining the graph theory and the Lyapunov method. Moreover, theoretical results are applied to coupled Chua’s circuits with multiple weights and semi-Markov jump as well as the synchronization criteria are presented. Finally, the validity of the obtained results is verified by numerical simulations.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.