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Mathematical Control Theory: Deterministic Finite Dimensional Systems
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  • Title: Mathematical Control Theory: Deterministic Finite Dimensional Systems
  • Author(s) Eduardo D. Sontag
  • Publisher: Springer; 2nd ed. 1998. Softcover reprint of the original (November 15, 2013)
  • License(s): (Please note: book is copyrighted by Springer-Verlag. Springer has kindly allowed the author to place a copy on the web, as a reference and for ease of web searches. Please consider buying your own hardcopy.)
  • Paperback: 548 pages
  • eBook: PDF (544 pages)
  • Language: English
  • ISBN-10: 1461268257
  • ISBN-13: 978-1461268253
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Book Description

This textbook introduces the basic concepts and results of mathematical control and system theory. It presents its subject in a self-contained and elementary fashion. It is geared to an audience consisting of mathematically mature advanced undergraduate or beginning graduate students.

It covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

In addition, it can be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses.

About the Authors
  • Eduardo D. Sontag is an American mathematician, and Distinguished University Professor at Northeastern University, who works in the fields control theory, dynamical systems, systems molecular biology, cancer and immunology, theoretical computer science, neural networks, and computational biology.
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