Cluster control of complex cyber-physical systems

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2021-11-30 DOI:10.35470/2226-4116-2021-10-3-191-200

Denis Uzhva, O. Granichin

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引用次数: 4

Abstract

To our minds, the real world appears as a composition of different interacting entitites, which demonstrate complex behavior. In the current paper, we primarly aim to study such networked systems by developing corresponding approaches to modeling them, given a class of tasks. We derive it from the primary concept of information and a system, with corresponding dynamics emerging from interactions between system components. As we progress through the study, we discover three possible levels of certain synchronous pattern composition in complex systems: microscopic (the level of elementary components), mesoscopic (the level of clusters), and macroscopic (the level of the whole system). Above all, we focus on the clusterization phenomenon, which allows to reduce system complexity by regarding only a small number of stable manifolds, corresponding to cluster synchronization of system component states—as opposed to regarding the system as a whole or each elementary component separately. Eventually, we demonstrate how an optimization problem for cluster control synthesis can be formulated for a simple discrete linear system with clusterization.

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复杂网络物理系统的集群控制

在我们看来，现实世界是由不同的相互作用的实体组成的，它们表现出复杂的行为。在本文中，我们的主要目标是在给定一类任务的情况下，通过开发相应的建模方法来研究这种网络系统。我们从信息和系统的基本概念中得出它，系统组件之间的相互作用产生了相应的动力学。随着研究的进展，我们发现复杂系统中某些同步模式组成的三个可能水平：微观（基本成分的水平）、介观（团簇的水平）和宏观（整个系统的水平）。最重要的是，我们关注聚类现象，它允许通过只考虑少量稳定流形来降低系统复杂性，对应于系统组件状态的聚类同步，而不是将系统视为一个整体或每个基本组件单独看待。最后，我们证明了如何为具有聚类的简单离散线性系统制定聚类控制综合的优化问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cybernetics and Physics Chemical Engineering-Fluid Flow and Transfer Processes

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.