Operators, Systems and Linear Algebra: Three Decades of Algebraic Systems Theory (European Consortium for Mathematics in Industry) (German Edition)

This book is a compilation of the results of an international workshop on Operators, Systems and Linear Algebra. It contains contributions of several outstanding researchers in the area of mathematical systems theory and its applications, covering recent results as well as survery articles. These present a retrospect of the past three decades of algebraic systems theory and provide outlooks on the future development of the field. The book offers a wide range of theoretical and applied topics, with emphasis on computational aspects and relations to practical problems. Contents Introduction / 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 / 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 / Noncommunitative 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 Note:More information on http://www.indmath.uni-linz.ac.at/www/ind/ecmi.html> ECMI Front Matter....Pages 1-10 Introduction....Pages 11-15 On the Approximation of Hankel Matrices....Pages 17-22 The Reduction of Multiplicity in Systems Modeling....Pages 23-32 A Rational Flow for the Toda Lattice Equations....Pages 33-44 On Output-Stabilizability and Detectability of Discrete-Time LQ-Optimal Control Systems....Pages 45-55 Matrix Pairs and 2D Systems Analysis....Pages 56-69 Spectral Minimality of J -Positive Linear Systems of Finite Order....Pages 70-80 State Feedback in General Discrete-Time Systems....Pages 81-95 Nonblocking Supervisory Control of Nondeterministic Systems....Pages 96-110 Noncommutative Power Series and Formal Lie-algebraic Techniques in Nonlinear Control Theory....Pages 111-128 Recent Progress on the Partial Stochastic Realization Problem....Pages 129-137 Generalized Partial Realizations....Pages 138-156 Oblique Splitting Subspaces and Stochastic Realization with Inputs....Pages 157-174 Lyapunov Revisited: Variations on a Matrix Theme....Pages 175-181 Linear Systems and Discontinuous Dynamics....Pages 182-195 Differential Invariants and Curvature Flows in Active Vision....Pages 196-213 On the Convergence of the Newton Iteration for Spectral Factorization....Pages 214-223 Back Matter....Pages 224-224