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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Elektronik, Elektro- und Nachrichtentechnik Input-to-State Stability for PDEs
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Input-to-State Stability for PDEs
Miroslav Krstic (Taschenbuch, Englisch)
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Beschreibung
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). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
10.01.2019
Sprache
Englisch
EAN
9783030081553
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Communications and Control Engineering
Sonderedition
Nein
Autor
Miroslav Krstic
Seitenanzahl
287
Auflage
Softcover reprint of the original 1st edition 2019
Einbandart
Taschenbuch
Schlagwörter
Input-to-State Stability, Infinite-Dimensional Systems, Partial Differential Equations, Small-Gain Analysis, Stability Theory, Disturbance response, External stability
Thema-Inhalt
TJFM - Regelungstechnik
PBKJ - Differentialrechnung und -gleichungen
TJK - Nachrichtententechnik, Telekommunikation
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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