عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783540176596
(Number (ISBN
9783642615863
NATIONAL BIBLIOGRAPHY NUMBER
Number
b406682
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Systems Analysis by Graphs and Matroids
General Material Designation
[Book]
Other Title Information
Structural Solvability and Controllability /
First Statement of Responsibility
by Kazuo Murota.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg :
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg,
Date of Publication, Distribution, etc.
1987.
SERIES
Series Title
Algorithms and Combinatorics, Study and Research Texts,
Volume Designation
3
ISSN of Series
0937-5511 ;
CONTENTS NOTE
Text of Note
1. Preliminaries -- 1. Convention and Notation -- 2. Algebra -- 3. Graph -- 4. Matroid -- 2. Graph-Theoretic Approach to the Solvability of a System of Equations -- 5. Structural Solvability of a System of Equations -- 6. Representation Graph -- 7. Graphical Conditions for Structural Solvability -- 8. Decompositions of a Graph by Menger-type Linkings -- 9. Decompositions and Reductions of a System of Equations -- 10. Application of the Graphical Technique -- 11. Examples -- 3. Graph-Theoretic Approach to the Controllability of a Dynamical System -- 12. Descriptions of a Dynamical System -- 13. Controllability of a Dynamical System -- 14. Graphical Conditions for Structural Controllability -- 15. Discussions -- 4. Physical Observations for Faithful Formulations -- 16. Mixed Matrix for Modeling Two Kinds of Numbers -- 17. Algebraic Implication of Dimensional Consistency -- 18. Physical Matrix -- 5 Matroid-Theoretic Approach to the Solvability of a System of Equations -- 19. Rank of a Mixed Matrix -- 20. Algorithm for Computing the Rank of a Mixed Matrix -- 21. Matroidal Conditions for Structural Solvability -- 22. Combinatorial Canonical Form of a Layered Mixed Matrix -- 23. Relation to Other Decompositions -- 24. Block-Triangularization of a Mixed Matrix -- 25. Decomposition of a System of Equations -- 26. Miscellaneous Notes -- 6. Matroid-Theoretic Approach to the Controllability of a Dynamical System -- 27. Dynamical Degree of a Dynamical System -- 28. Matroidal Conditions for Structural Controllability -- 29. Algorithm for Testing the Structural Controllability -- 30. Examples -- 31. Discussions -- Conclusion -- References.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783540176596
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Combinatorics.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Murota, Kazuo.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307162600.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
