Graph-Theoretical Methods in Systems Theory and Control
Modelling, analysis and design methods based on directed graphs, bipartite graphs, and random graphs
Jan Lunze
All bindings and editions
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€128.95
Hardback / bound
2024
Graph-Theoretical Methods in Systems Theory and Control
Modelling, analysis and design methods based on directed graphs, bipartite graphs, and random graphs
Jan Lunze
Hardback / bound
|
English
€128.95
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- 30 days to change your mind and return physical products
Description
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.