ENGLISH

Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability

By Dr. Kazuo Murota (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1987
ISBN
978-3-540-17659-6, 978-3-642-61586-3
DOI
10.1007/978-3-642-61586-3
Language
english
Format
PDF
Filesize
5 MB (5741749 bytes)
Series
Algorithms and Combinatorics 3
Edition
1
Pages
284\291
Time added
2013-12-12 02:00:00
Combinatorics

Description

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.

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