Linear Algebra for Control Theory (The Ima Volumes in Mathematics and Its Applications)

Van Dooren, Paul (Editor) / Wyman, Bostwick (Editor)

ISBN 10: 1461384214 / ISBN 13: 9781461384212

Editore: Springer New York, 2011

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reprint edition. 205 pages. 9.00x6.00x0.50 inches. In Stock.

Codice articolo x-1461384214

Dati bibliografici

• Titolo: Linear Algebra for Control Theory (The Ima Volumes in Mathematics and Its Applications)
• Editore: Springer New York
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461384214
• ISBN 13: 9781461384212
• Rilegatura: Paperback
• Condizione: Brand New
• Peso: 0,3 chilogrammi

Descrizione articolo

Riassunto

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.

Contenuti

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.