Communications and Control Engineering

Optimization and Dynamical Systems

Authors: Helmke, Uwe, Moore, John B.

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About this book

This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys­ tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer­ gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the­ ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys­ tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet­ ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.

Table of contents (9 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4471-3467-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.99
price for USA
  • ISBN 978-1-4471-3469-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Optimization and Dynamical Systems
Authors
Series Title
Communications and Control Engineering
Copyright
1994
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-3467-1
DOI
10.1007/978-1-4471-3467-1
Softcover ISBN
978-1-4471-3469-5
Series ISSN
0178-5354
Edition Number
1
Number of Pages
XIII, 403
Number of Illustrations and Tables
2 b/w illustrations
Topics