Includes bibliographical references (p. 365-388) and index.
|Statement||Eduardo D. Sontag.|
|Series||Texts in applied mathematics ;, 6|
|LC Classifications||QA402.3 .S683 1990|
|The Physical Object|
|Pagination||xiii, 396 p. :|
|Number of Pages||396|
|ISBN 10||0387973664, 3540973664|
|LC Control Number||90199990|
Mathematical Control Theory: An Introduction will be ideal for a beginning graduate course in mathematical control theory, or for self-study by professionals needing a complete picture of the mathematical theory that underlies the applications of control : Birkhäuser Basel. Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and by: "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 Brand: Springer-Verlag New York. Mathematical Control Theory book. Read reviews from world’s largest community for readers. This textbook, based on courses taught at Rutgers University, Ratings: 0.
An Introduction to Mathematical Optimal Control Theory Version By Lawrence C. Evans Department of Mathematics an optimal control The next example is from Chapter 2 of the book Caste and Ecology in Social Insects, by G. Oster and E. O. Wilson [O-W]. We attempt to model how social File Size: KB. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational : $ This is the best account of the basic mathematical aspects of control theory. It has been brought up to date while retaining the focus on state-space methods and points of mathematical interest. The authors have written a new chapter on multivariable theory and a new appendix on Kalman filtering, added a large number of new problems, and 4/5(3). 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 This textbook introduces the basic concepts and results of mathematical control and system theory.
The mathematical theory of control of the quantum systems relies on some ideas of the optimal control theory. They were analyzed and developed with regard to the specifics of such systems. Mathematical Control Theory of Coupled PDEs is based on a series of lectures that are outgrowths of recent research in the area of control theory for systems governed by coupled PDEs. The book develops new mathematical tools amenable to a rigorous analysis of related control problems and the construction of viable control algorithms. "for a book or article discussing the origins of Control Theory and Systems" I can recommend the article Control: A Perspective by Astrom and Kumar. Control Theory is a branch of applied mathematics, and as such doesn't really have a predefined "Mathematical Foundation". A Mathematical Introduction to Control Theory will be an invaluable book for junior and senior level university students in engineering, particularly electrical engineering. Students with a good knowledge of algebra and complex variables will also find many interesting applications in this volume.