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Graph-Theoretical Methods in Systems Theory and Control

von Jan Lunze
Über Graph-Theoretical Methods in Systems Theory and Control

Many dynamical phenomena seem to be very complex, but have a relatively simple structural cause, which can be discovered by graph-theoretical methods. This textbook describes for numerous scenarios how to use the structural properties of a system to simplify modelling, analysis or design tasks. The readers learn to extract structure graphs from diverse information and to solve problems of systems and control theory in a graph-theoretical way. The book explains numerous graph-theoretical representations of dynamical systems: Block diagrams for the decomposition of systems; Signal-flow graphs for the analysis of interconnected linear systems; Bayesian networks for dealing with probabilistic information; Inference graphs for knowledge-based problem solving; Automaton graphs for discrete-event systems; Circuit graphs for modelling electrical networks; Structure graphs to represent generic properties of linear systems; Flow networks for the analysis of transportation systems; Communication graphs of networked control systems; Bipartite graphs for fault diagnosis; Random coupling graphs to use the small-world property. With 114 examples, 118 exercises and MATLAB scripts.

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  • Sprache:
  • Englisch
  • ISBN:
  • 9789403726854
  • Einband:
  • Gebundene Ausgabe
  • Seitenzahl:
  • 796
  • Veröffentlicht:
  • 22. Januar 2024
  • Ausgabe:
  • 24001
  • Abmessungen:
  • 173x48x246 mm.
  • Gewicht:
  • 1486 g.
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Beschreibung von Graph-Theoretical Methods in Systems Theory and Control

Many dynamical phenomena seem to be very complex, but have a relatively simple structural cause, which can be discovered by graph-theoretical methods. This textbook describes for numerous scenarios how to use the structural properties of a system to simplify modelling, analysis or design tasks. The readers learn to extract structure graphs from diverse information and to solve problems of systems and control theory in a graph-theoretical way.
The book explains numerous graph-theoretical representations of dynamical systems: Block diagrams for the decomposition of systems; Signal-flow graphs for the analysis of interconnected linear systems; Bayesian networks for dealing with probabilistic information; Inference graphs for knowledge-based problem solving; Automaton graphs for discrete-event systems; Circuit graphs for modelling electrical networks; Structure graphs to represent generic properties of linear systems; Flow networks for the analysis of transportation systems; Communication graphs of networked control systems; Bipartite graphs for fault diagnosis; Random coupling graphs to use the small-world property.
With 114 examples, 118 exercises and MATLAB scripts.

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