Input-to-State Stability for PDEs
Iasson Karafyllis author Miroslav Krstic author
Format:Hardback
Publisher:Springer International Publishing AG
Published:27th Jun '18
Should be back in stock very soon
This hardback is available in another edition too:
- Paperback£129.99(9783030081553)
This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools.
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).
“The text is very readable due to ubiquitous remarks, examples, explanations and references before and after the rigorous mathematical derivations. In addition to new results future research topics are also presented. The book is recommended for everybody interested in control systems involving PDEs and their applications.” (Andras Balogh, Mathematical Reviews, December, 2019)
“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)
ISBN: 9783319910109
Dimensions: unknown
Weight: unknown
287 pages
1st ed. 2019