Overview
- Provides the reader with a unique study of input-to-state stability for partial differential equations
- Offers the first systematic study of PDEs with non-local terms
- Equips the reader for a large number of applications that are at the core of many scientific disciplines
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (11 chapters)
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Front Matter
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ISS for First-Order Hyperbolic PDEs
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Front Matter
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ISS for Parabolic PDEs
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Front Matter
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Small-Gain Analysis
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Front Matter
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Back Matter
Keywords
About this book
In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered:
- PDEs (of either class) with static maps;
- PDEs (again, of either class) with ODEs;
- PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and
- feedback loops of PDEs of different classes (parabolic with hyperbolic).
Reviews
“This is a beautiful book, highly recommended to researchers and, as a textbook, to post-graduates. The graphical conditions are excellent.” (Vladimir Răsvan, zbMath 1416.93004, 2019)
Authors and Affiliations
About the authors
Miroslav Krstic is Distinguished Professor, Alspach endowed chair, founding director of the Cymer Center for Control Systems and Dynamics, and Senior Associate Vice Chancellor for Research at UC San Diego. Krstic is Fellow of IEEE, IFAC, ASME, SIAM, AAAS, and IET (UK), Associate Fellow of AIAA, and foreign member of the Academy of Engineering of Serbia. He has received ASME Oldenburger Medal, ASME Nyquist Lecture Prize, ASME Paynter Outstanding Investigator Award, the PECASE, NSF Career, and ONR Young Investigator awards, the Axelby and Schuck paper prizes, the Chestnut textbook prize, and the first UCSD Research Award given to an engineer. Krstic has also been awarded the Distinguished Visiting Fellowship of the Royal Academy of Engineering and Invitation Fellowship of the Japan Society for the Promotion of Science. Krstic has coauthored twelve books on adaptive, nonlinear, and stochastic control, extremum seeking, control of PDE systems including turbulent flows, and control of delay systems.
Bibliographic Information
Book Title: Input-to-State Stability for PDEs
Authors: Iasson Karafyllis, Miroslav Krstic
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-3-319-91011-6
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-319-91010-9Published: 27 June 2018
Softcover ISBN: 978-3-030-08155-3Published: 10 January 2019
eBook ISBN: 978-3-319-91011-6Published: 07 June 2018
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XVI, 287
Number of Illustrations: 1 illustrations in colour
Topics: Control and Systems Theory, Partial Differential Equations, Communications Engineering, Networks, Systems Theory, Control