Murota K. Systems Analysis by Graphs and Matroids...1987 torrent

Textbook in PDF format

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.
Front Matter
Introduction
Preliminaries
Graph-Theoretic Approach to the Solvability of a System of Equations
Graph-Theoretic Approach to the Controllability of a Dynamical System
Physical Observations for Faithful Formulations
Matroid-Theoretic Approach to the Solvability of a System of Equations
Matroid-Theoretic Approach to the Controllability of a Dynamical System
Conclusion
Back Matter