Overview
- Offers thorough examination of control of linear systems and of nonlinear systems
- Includes numerous exercises and tasks to help students apply the material as well as selected solutions
- Perfect for a graduate, in-depth course on optimal control
- Includes supplementary material: sn.pub/extras
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Table of contents (13 chapters)
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Front Matter
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Introduction
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Front Matter
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Control of Linear Systems
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Front Matter
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Control of Nonlinear Systems
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Front Matter
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Back Matter
Keywords
About this book
In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.
Authors and Affiliations
About the authors
Dmitriy V. Dolgy is a professor at the Institute of Natural Sciences at Far Eastern Federal University in Vladivolstok, Russia and at Hanrimwon, Kwangwoon University in Seoul, Republic of Korea.
Taekyun Kim is a professor in the Department of Mathematics at the College ofNatural Science at Kwangwoon University.
Ravi P. Agarwal is a professor and the chair of the Department of Mathematics at Texas A&M University.
Bibliographic Information
Book Title: Optimal Control
Authors: Leonid T. Aschepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal
DOI: https://doi.org/10.1007/978-3-319-49781-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Softcover ISBN: 978-3-319-84240-0Published: 30 April 2018
eBook ISBN: 978-3-319-49781-5Published: 11 January 2017
Edition Number: 1
Number of Pages: XV, 209
Number of Illustrations: 55 b/w illustrations
Topics: Calculus of Variations and Optimal Control; Optimization, Systems Theory, Control