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Introduction to the Mathematical Theory of Control Processes

Introduction to the Mathematical Theory of Control Processes
Author: Richard Bellman
Publisher: Elsevier
Total Pages: 264
Release: 2016-06-03
Genre: Mathematics
ISBN: 1483222861

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Introduction to the Mathematical Theory of Control Processes


Mathematical Control Theory

Mathematical Control Theory
Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
Total Pages: 543
Release: 2013-11-21
Genre: Mathematics
ISBN: 1461205778

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Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally 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. 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 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.


Mathematical Control Theory

Mathematical Control Theory
Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2009-11-03
Genre: Science
ISBN: 0817647333

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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


Nonlinear Optimal Control Theory

Nonlinear Optimal Control Theory
Author: Leonard David Berkovitz
Publisher: CRC Press
Total Pages: 392
Release: 2012-08-25
Genre: Mathematics
ISBN: 1466560274

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Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniqu