
Operators, Systems and Linear Algebra
Three Decades of Algebraic Systems Theory
Uwe Helmke(Co-Author)
Vieweg+Teubner Verlag
Published on 23. August 2014
Book
Paperback/Softback
224 pages
978-3-663-09824-9 (ISBN)
Description
This book contains the plenary lectures presented at the Workshop 'Operators, Systems and Linear Algebra: Three Decades of Algebraic Systems Theory,' held in Kaiserslautern, Germany, September 24-26, 1997. It is a Festschrift honoring the impact of the work of Paul Fuhrmann in operator and control theory. The book includes essays written by prominent scientists to present their views on some of the most recent developments in the area of mathematical systems theory and its applications. The papers cover a wide range of theoretical and applied topics, with emphasis on computational aspects and relations to engineering problems. The impact of Paul Fuhrmann's work can be traced through many parts of the volume. Polynomial models and shift realizations, the algebraic structure of linear state feedback, partial realization theory and the recursive inversion of Hanke! and Toeplitz operators, spectral factorization, and parametrizations of classes of rational functions are some of the topics in the book, where explicit references are made to his work. It is impossible to give in this short preface any substantial review of Paul Fuhr mann's numerous and major contributions to finite and infinite dimensionallinear systems theory. Instead we like to emphasize that his work demonstrates in a clear way the underlying attempt to unreveal the basic unity of mathematics.
More details
Series
Edition
1997 ed.
Language
German
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
224 S.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 13 mm
Weight
402 gr
ISBN-13
978-3-663-09824-9 (9783663098249)
DOI
10.1007/978-3-663-09823-2
Schweitzer Classification
Other editions
Additional editions

Dieter Prätzel-Wolters | Eva Zerz | Uwe Helmke
Operators, Systems and Linear Algebra
Three Decades of Algebraic Systems Theory
E-Book
07/2013
Vieweg+Teubner Verlag
€26.99
Available for download
Dieter Prätzel-Wolters | Eva Zerz | Uwe Helmke
Operators, Systems and Linear Algebra
Three Decades of Algebraic Systems Theory
Book
01/1997
Vieweg+Teubner Verlag
€49.99
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Content
On the Approximation of Hankel Matrices.- The Reduction of Multiplicity in Systems Modeling.- A Rational Flow for the Toda Lattice Equations.- On Output-Stabilizability and Detectability of Discrete-Time LQ-Optimal Control Systems.- Matrix Pairs and 2D Systems Analysis.- Spectral Minimality of J-Positive Linear Systems of Finite Order.- State Feedback in General Discrete-Time Systems.- Nonblocking Supervisory Control of Nondeterministic Systems.- Noncommutative Power Series and Formal Lie-Algebraic Techniques in Nonlinear Control Theory.- Recent Progress on the Partial Stochastic Realization Problem.- Generalized Partial Realizations.- Oblique Splitting Subspaces and Stochastic Realization with Inputs.- Lyapunov Revisited: Variations on a Matrix Theme.- Linear Systems and Discontinuous Dynamics.- Differential Invariants and Curvature Flows in Active Vision.- On the Convergence of the Newton Iteration for Spectral Factorization.