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).
Produkteigenschaften
- Artikelnummer: 9783030081553
- Medium: Buch
- ISBN: 978-3-030-08155-3
- Verlag: Springer International Publishing
- Erscheinungstermin: 10.01.2019
- Sprache(n): Englisch
- Auflage: Softcover Nachdruck of the original 1. Auflage 2019
- Serie: Communications and Control Engineering
- Produktform: Kartoniert, Previously published in hardcover
- Gewicht: 528 g
- Seiten: 287
- Format (B x H x T): 155 x 235 x 16 mm
- Ausgabetyp: Kein, Unbekannt