Controllability and Stabilization of Parabolic Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory, Reference & Language, Reference
Cover of the book Controllability and Stabilization of Parabolic Equations by Viorel Barbu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Viorel Barbu ISBN: 9783319766669
Publisher: Springer International Publishing Publication: April 26, 2018
Imprint: Birkhäuser Language: English
Author: Viorel Barbu
ISBN: 9783319766669
Publisher: Springer International Publishing
Publication: April 26, 2018
Imprint: Birkhäuser
Language: English

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.  

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.  

More books from Springer International Publishing

Cover of the book War as Performance by Viorel Barbu
Cover of the book Digital HR by Viorel Barbu
Cover of the book Communication Excellence by Viorel Barbu
Cover of the book Ethical Leadership in Organizations by Viorel Barbu
Cover of the book Broadband Direct RF Digitization Receivers by Viorel Barbu
Cover of the book Will Miami Survive? by Viorel Barbu
Cover of the book New Developments in Competition Law and Economics by Viorel Barbu
Cover of the book Stereoselective Heterocycle Synthesis via Alkene Difunctionalization by Viorel Barbu
Cover of the book Energy, Information, Feedback, Adaptation, and Self-organization by Viorel Barbu
Cover of the book Device-to-Device Communications in Cellular Networks by Viorel Barbu
Cover of the book Settlement Morphology of Budapest by Viorel Barbu
Cover of the book Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges by Viorel Barbu
Cover of the book Africa-to-Africa Internationalization by Viorel Barbu
Cover of the book Spectrum Sharing Between Radars and Communication Systems by Viorel Barbu
Cover of the book Progress in Botany Vol. 78 by Viorel Barbu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy