Optimization and Dynamical Systems
By: by Uwe Helmke, John B. Moore
Contributors: Moore, John B.
Series: Communications and Control Engineering; Communications and control engineering
Publisher: Springer London
Published: 1994
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 403
ISBN-13: 9781447134695; 9781447134671
Subjects: Engineering; Mathematical optimization; Telecommunication; Systems theory
Description: This study addresses both classical and previously unsolved optimization tasks in linear algebra, linear systems theory, control theory and signal processing. Exploiting developments in Computation such as Parallel Computing and Neural Networks, it gives a dynamical systems approach for tackling a wide class of constrained optimization tasks. Optimization and Dynamical Systems will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds.
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Table of contents: title: Contents: Matrix Eigenvalue Methods; title: Double Bracket Isospectral Flows; title: Singular Value Decomposition; title: Linear Programming; title: Approximation and Control; title: Balanced Matrix Factorizations; title: Invariant Theory and System Balancing; title: Balancing via Gradient Flows; title: Sensitivity Optimization; title: Linear Algebra; title: Dynamical Systems; title: Global Analysis.