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 pos-sible levels of certain synchronous pattern composition in complex systems: microscopic (the level of elemen-tary 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 op-posed to regarding the system as a whole or each elemen-tary component separately. Eventually, we demonstrate how an optimization problem for cluster control synthesis can be formulated for a simple discrete linear system with clusterization.

Original languageEnglish
Pages (from-to)191-200
Number of pages10
JournalCybernetics and Physics
Volume10
Issue number3
DOIs
StatePublished - 30 Nov 2021

    Scopus subject areas

  • Signal Processing
  • Physics and Astronomy (miscellaneous)
  • Computer Vision and Pattern Recognition
  • Fluid Flow and Transfer Processes
  • Control and Optimization
  • Artificial Intelligence

    Research areas

  • Control of complex systems, Discrete systems, Multiagent technologies

ID: 88774647