Control of Higher–Dimensional PDEs

Inhaltsverzeichnis


Model equations for multi–agent networks.- Model equations for flexible structures with piezoelectric actuation.- Mathematical problem formulation.- Spectral approach for time–invariant systems with general spatial domain.- Formal integration approach for time varying systems.- Backstepping for linear diffusion–convection–reaction systems with varying parameters on 1–dimensional domains.- Backstepping for linear diffusion–convection–reaction systems with varying parameters on parallelepiped domains.

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Control of Higher–Dimensional PDEs

Flatness and Backstepping Designs

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Control of Higher–Dimensional PDEs

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Beschreibung

Details

Einband

Gebundene Ausgabe

Erscheinungsdatum

14.08.2012

Verlag

Springer Berlin

Seitenzahl

368

Maße (L/B/H)

24,1/16/2,7 cm

Beschreibung

Rezension

From the reviews:

“This research monograph is designed for graduate students in applied mathematics and control theory and also as a reference for control engineers and mathematics researchers working in the control of PDEs. The book has a section on modeling that is an excellent reference for graduate students aiming to understand the derivation of partial differential models related to applications and control. The theoretical results are complemented with simulations and numerical experiments.” (Luz de Teresa, Mathematical Reviews, October, 2013)

“The reviewed monograph is devoted to a systematic study of various control problems for dynamical systems governed by partial differential equations with higher-dimensional spatial domain. … it should be pointed out, that the reviewed monograph contains an extensive list of references, many remarks and comments on distributed infinite-dimensional control systems with higher-dimensional spatial domain and examples which illustrate the theoretical considerations.” (Jerzy Klamka, Zentralblatt MATH, Vol. 1253, 2013)

Zitat

From the reviews:"The reviewed monograph is devoted to a systematic study of various control problems for dynamical systems governed by partial differential equations with higher-dimensional spatial domain. ... it should be pointed out, that the reviewed monograph contains an extensive list of references, many remarks and comments on distributed infinite-dimensional control systems with higher-dimensional spatial domain and examples which illustrate the theoretical considerations." (Jerzy Klamka, Zentralblatt MATH, Vol. 1253, 2013)

Details

Einband

Gebundene Ausgabe

Erscheinungsdatum

14.08.2012

Verlag

Springer Berlin

Seitenzahl

368

Maße (L/B/H)

24,1/16/2,7 cm

Gewicht

746 g

Auflage

2013

Sprache

Englisch

ISBN

978-3-642-30014-1

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  • Control of Higher–Dimensional PDEs

  • Model equations for multi–agent networks.- Model equations for flexible structures with piezoelectric actuation.- Mathematical problem formulation.- Spectral approach for time–invariant systems with general spatial domain.- Formal integration approach for time varying systems.- Backstepping for linear diffusion–convection–reaction systems with varying parameters on 1–dimensional domains.- Backstepping for linear diffusion–convection–reaction systems with varying parameters on parallelepiped domains.