Systems Analysis by Graphs and Matroids : Structural Solvability and Controllability /

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 st...

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Bibliographic Details
Main Author: Murota, Kazuo
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987.
Series:Algorithms and Combinatorics, Study and Research Texts ; 3.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (54 illustrations)
ISBN:9783642615863 (electronic bk.)
3642615864 (electronic bk.)
ISSN:0937-5511 ;