Mathematical Control Theory: Deterministic Finite Dimensional Systems

Author:   Eduardo D. Sontag
Publisher:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1998. Softcover reprint of the original 2nd ed. 1998
Volume:   6
ISBN:  

9781461268253


Pages:   532
Publication Date:   15 November 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Mathematical Control Theory: Deterministic Finite Dimensional Systems


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Overview

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.

Full Product Details

Author:   Eduardo D. Sontag
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1998. Softcover reprint of the original 2nd ed. 1998
Volume:   6
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.836kg
ISBN:  

9781461268253


ISBN 10:   1461268257
Pages:   532
Publication Date:   15 November 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

Reviews

From the reviews This book will be very useful for mathematics and engineering students interested in a modern and rigorous systems course, as well as for the experts in control theory and applications. MATHEMATICAL REVIEWS


From the reviews This book will be very useful for mathematics and engineering students interested in a modern and rigorous systems course, as well as for the experts in control theory and applications. MATHEMATICAL REVIEWS


From the reviews This book will be very useful for mathematics and engineering students interested in a modern and rigorous systems course, as well as for the experts in control theory and applications. MATHEMATICAL REVIEWS


"From the reviews ""This book will be very useful for mathematics and engineering students interested in a modern and rigorous systems course, as well as for the experts in control theory and applications."" MATHEMATICAL REVIEWS"


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