
Linear Algebra for Control Theory
Springer (Publisher)
Published on 14. October 2011
Book
Paperback/Softback
XVI, 189 pages
978-1-4613-8421-2 (ISBN)
Description
During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra.
This book is suitable for both mathematicians and students.
This book is suitable for both mathematicians and students.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1994
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 189 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
330 gr
ISBN-13
978-1-4613-8421-2 (9781461384212)
DOI
10.1007/978-1-4613-8419-9
Schweitzer Classification
Other editions
Additional editions

Paul Van Dooren | Bostwick Wyman
Linear Algebra for Control Theory
Workshop on Applied Linear Algebra : Papers
Book
05/1994
Springer
€85.55
Article exhausted; check different version
Content
Recursive modeling of discrete-time time series.- Pole placement, internal stabilization, and interpolation conditions for rational matrix functions: A Grassmannian formulation.- Feedback stabilizibility over commutative rings.- Output feedback in descriptor systems.- On realization theory for generalized state-space systems over a commutative ring.- Problems and results in a geometric approach to the theory of systems over rings.- Completion of a matrix so that the inverse has minimum norm. Application to the regularization of descriptor control problems.- On the Rutishauser approach to eigenvalue problems.- The block form of linear systems over commutative rings with applications to control.- Diffeomorphisms between sets of linear systems.- Transfer function approach to disturbance decoupling problem.- Some numerical challenges in control theory.