Geometrical Methods for the Theory of Linear Systems :
General Material Designation
[Book]
Other Title Information
Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18-29, 1979
First Statement of Responsibility
edited by Christopher I. Byrnes, Clyde F. Martin.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht
Name of Publisher, Distributor, etc.
Springer Netherlands
Date of Publication, Distribution, etc.
1980
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(332 pages)
SERIES
Series Title
NATO advanced study institutes series., Series C,, Mathematical and physical sciences ;, 62.
CONTENTS NOTE
Text of Note
To Geometrical Methods for the Theory of Linear Systems --; Algebraic and Geometric Aspects of the Analysis of Feedback Systems --; (Fine) Moduli (Spaces) for Linear Systems: What Are They and What Are They Good for? --; Grassmannian Manifolds, Riccati Equations and Feedback Invariants of Linear Systems --; Commutative Algebra in System Theory --; Systems and Polynomial Matrices --; Functional Models, Factorizations and Linear Systems --; Stochastic Systems and the Problem of State Space Realization.
SUMMARY OR ABSTRACT
Text of Note
The lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute Program of NATO. We greatly appreciate the financial support rendered by these two organizations. The American Mathematical Society hosted this meeting as part of their Summer Seminars in Applied Mathematics and will publish the companion volume of con tributed papers.
PARALLEL TITLE PROPER
Parallel Title
Proceedings of the NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics, Cambridge, Massachusetts, U.S.A., June 18-29, 1979