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Controllability and Stabilization of Parabolic Equations

Af: Viorel Barbu Engelsk Paperback

Controllability and Stabilization of Parabolic Equations

Af: Viorel Barbu Engelsk Paperback
Tjek vores konkurrenters priser
This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier-Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. 

Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.  

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This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier-Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. 

Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.  

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 226
ISBN-13: 9783030095505
Indbinding: Paperback
Udgave:
ISBN-10: 3030095509
Kategori: Kybernetik og systemteori
Udg. Dato: 25 dec 2018
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 25 dec 2018
Forfatter(e): Viorel Barbu
Forfatter(e) Viorel Barbu

Kategori Kybernetik og systemteori

ISBN-13 9783030095505

Sprog Engelsk

Indbinding Paperback

Sider 226

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 25 dec 2018

Oplagsdato 25 dec 2018

Forlag Springer Nature Switzerland AG

Kategori sammenhænge