Linear Algebra for Control Theory -

Linear Algebra for Control Theory

Buch | Softcover
189 Seiten
2011 | Softcover reprint of the original 1st ed. 1994
Springer-Verlag New York Inc.
978-1-4613-8421-2 (ISBN)
139,09 inkl. MwSt
During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. 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.
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.

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.

Reihe/Serie The IMA Volumes in Mathematics and its Applications ; 62
Zusatzinfo XVI, 189 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Schlagworte Control Theory
ISBN-10 1-4613-8421-4 / 1461384214
ISBN-13 978-1-4613-8421-2 / 9781461384212
Zustand Neuware
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