Mathematical Control Theory

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Sprache: Englisch

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Beschreibung

Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface to the Second Edition The most significant differences between this edition and the first are as follows: ¿ Additional chapters and sections have been written, dealing with: nonlinear controllability via Lie-algebraic methods, variational and numerical approaches to nonlinear control, including a brief introduction to the Calculus of Variations and the Minimum Principle, - time-optimal control of linear systems, feedback linearization (single-input case), nonlinear optimal feedback, controllability of recurrent nets, and controllability of linear systems with bounded controls.

Zusammenfassung

This textbook introduces the basic concepts and results of mathematical control and system theory. It is geared primarily to mathematically advanced undergraduate or beginning graduate students. It can also be used by engineering students interested in a rigorous, proof-oriented systems course.

Inhaltsverzeichnis

Series Preface * Preface to First Edition * 1 Introduction * 2 Systems * 3 Reachability and Controllability * 4 Nonlinear Controllability * 5 Feedback and Stabilization * 6 Outputs * 7 Observers and Dynamic Feedback * 8 Linear-Quadratic Optimal Control * 9 Time-Optimal Control of Linear Systems * 10 Remarks on Nonlinear Optimal Control * Appendixes * A Linear Algebra * B Differentials * C Ordinary Differential Equations * Bibliography * List of Symbols * Index

Erscheinungsjahr:	1998
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvi 532 S.
ISBN-13:	9780387984896
ISBN-10:	0387984895
Sprache:	Englisch
Einband:	Gebunden
Autor:	Sontag, Eduardo D.
Auflage:	2nd edition 1998
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	240 x 161 x 35 mm
Von/Mit:	Eduardo D. Sontag
Erscheinungsdatum:	17.07.1998
Gewicht:	0,988 kg

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