Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability (Algorithms and Combinatorics, Band 3)

Murota, Kazuo

ISBN 10: 3540176594 / ISBN 13: 9783540176596

Published by Springer-Verlag, 1987

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Bibliographic Details

• Title: Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability (Algorithms and Combinatorics, Band 3)
• Publisher: Springer-Verlag
• Publication Date: 1987
• Language: English
• ISBN 10: 3540176594
• ISBN 13: 9783540176596
• Binding: Soft cover
• Condition: Good

About this title

Synopsis

Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units. This monograph illustrates how engineering problems can be solved using the recent results of combinatorial mathematics through appropriate mathematical modeling. The structural solvability of a system of linear or nonlinear equations as well as the structural controllability of a linear time-invariant dynamical system are treated by means of graphs and matroids. Special emphasis is laid on the importance of relevant physical observations to successful mathematical modelings. The reader will become acquainted with the concepts of matroid theory and its corresponding matroid theoretical approach. This book is of interest to graduate students and researchers.