Overview
- Offers feedback solutions for impulse controls
- Provides exercises and examples with an indication of routes to related software
- Discusses dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 468)
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Table of contents (12 chapters)
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Impulses of Higher Order. Realizability and Fast Control
Keywords
About this book
This book walks the readers through:
- the design and description of feedback solutions for impulse controls;
- the explanation of impulses of higher order that are derivatives of delta functions;
- the description of their physically realizable approximations - the fast controls and their approximations;
- the treatment of uncertaintyin impulse control and the applications of impulse feedback.
Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors , such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
Reviews
“I would like to recommend it to students and researchers interested in impulsive models.” (Jin Liang, zbMATH 1425.93004, 2019)
Authors and Affiliations
About the authors
Alexander B. Kurzhanski was born in 1939. He graduated with honours in electrical engineering at the Technical University of Ural, Sverdlovsk, USSR (1962). He did his graduate studies in mathematics and mechanics at classical University of Ural (1962–1965), having received his PhD-equivalent degree in 1965 and habilitation doctorate in 1971. He became full professor in 1974. In 1967–1984 he was at Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of USSR as a Senior Researcher, Head of Department and finally Director. He was Chairman of Systems and Decision Sciences Program, Deputy Director at IIASA (the International Institute for Applied Systems Analysis), Laxenburg, Austria (1984–1992). He is Head of Department of Systems Analysis, Lomonosov Moscow State University (MSU), Faculty of Computational Mathematics and Cybernetics (1992–present) and also a distinguished professor of MSU (1999). He was elected associate member of the Russian (former Soviet)Academy of Sciences in 1981 and Full Member in 1990. He is Chairman of Russian National Committee on Automatic Control (the IFAC NMO, 1998–present). He also holds a visiting research position at UC-Berkeley, USA. His research interests and achievements are in the field of estimation and control under uncertainty and incomplete (realistic) information, feedback control of complex systems, inverse problems of mathematical physics, computational methods in dynamics and control and mathematical modeling for applied systems analysis.
Alexander N. Daryin was born in 1979. He graduated with honours from the Faculty of Computational Mathematics and Cybernetics at Lomonosov Moscow State University in 2001. He did his graduate studies in mathematics (pure and applied) at same faculty (2001–2004). He received PhD-equivalent degree in 2004. He worked as an associate professor at same faculty, Department of Systems Analysis (2004–2014). He currently works at Google Research in Zurich. He authored or coauthored more than 25 research journal and conference papers. His interests lie in the theory and applications of feedback control for complex systems, including control under uncertainty, impulse control and computational methods.
Bibliographic Information
Book Title: Dynamic Programming for Impulse Feedback and Fast Controls
Book Subtitle: The Linear Systems Case
Authors: Alexander B. Kurzhanski, Alexander N. Daryin
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/978-1-4471-7437-0
Publisher: Springer London
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer-Verlag London Ltd., part of Springer Nature 2020
Hardcover ISBN: 978-1-4471-7436-3Published: 30 March 2019
eBook ISBN: 978-1-4471-7437-0Published: 29 March 2019
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XIII, 275
Number of Illustrations: 25 b/w illustrations, 1 illustrations in colour