Network-Based Analysis of Dynamical Systems: Methods for Controllability and Observability Analysis, and Optimal Sensor Placement (SpringerBriefs in Computer Science)

by Daniel Leitold, Agnes Vathy-Fogarassy, and Janos Abonyi

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Book cover for Network-Based Analysis of Dynamical Systems

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This book explores the key idea that the dynamical properties of complex systems can be determined by effectively calculating specific structural features using network science-based analysis. Furthermore, it argues that certain dynamical behaviours can stem from the existence of specific motifs in the network representation.

Over the last decade, network science has become a widely applied methodology for the analysis of dynamical systems. Representing the system as a mathematical graph allows several network-based methods to be applied, and centrality and clustering measures to be calculated in order to characterise and describe the behaviours of dynamical systems.

The applicability of the algorithms developed here is presented in the form of well-known benchmark examples. The algorithms are supported by more than 50 figures and more than 170 references; taken together, they provide a good overview of the current state of network science-based analysis of dynamical systems, and suggest further reading material for researchers and students alike. The files for the proposed toolbox can be downloaded from a corresponding website.

  • ISBN13 9783030364717
  • Publish Date 14 January 2020
  • Publish Status Active
  • Publish Country CH
  • Imprint Springer Nature Switzerland AG
  • Edition 1st ed. 2020
  • Format Paperback
  • Pages 110
  • Language English