Mathematical Control Theory
An Introduction
2nd Edition
Published on 1. December 1992
Book
Hardback
X, 260 pages
978-0-8176-3645-6 (ISBN)
Description
Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems.
"Covers a remarkable number of topics....The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS
More details
Series
Edition
2nd edition
Language
English
Place of publication
MA
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 19 mm
Weight
567 gr
ISBN-13
978-0-8176-3645-6 (9780817636456)
DOI
10.1007/978-0-8176-4733-9
Schweitzer Classification
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10/2007
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Previous edition
Jerzy Zabczyk
Mathematical Control Theory: An Introduction
Book
12/1992
Birkhäuser Verlag GmbH
€79.23
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Content
Preface.- Introduction.- Part I. Elements of classical control theory.- Controllability and observability.- Stability and stabilizability.- Realization theory.- Systems with constraints.- Part II. Nonlinear control systems.- Controllability and observability of nonlinear systems.- Stability and stabilizability.- Realization theory.- Part III. Optimal control.- Dynamic programming.- Dynamic programming for impulse control.- The maximum principle.- The existence of optimal strategies.- Part IV. Infinite dimensional linear systems.- Linear control systems.- Controllability.- Stability and stabilizability.- Linear regulators in Hilbert spaces.- Appendix.- Metric spaces.- Banach spaces.- Hilbert spaces.- Bochner's integral.- Spaces of continuous functions.- Spaces of measurable functions.- References.- Notations.- Index