Téléchargez le livre : Boundary Stabilization of Parabolic Equations

Boundary Stabilization of Parabolic Equations

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Éditeur :

Birkhäuser


Collection :

Progress in Nonlinear Differential Equations and Their Applications

Paru le : 2019-02-15

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Description

This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling.


The text provides answers to the following problems, which are of great practical importance:
Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state
Designing observers for the considered control systems
Constructing time-discrete controllers requiring only partial knowledge of the state

After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more.

 
Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Pages
214 pages
Collection
Progress in Nonlinear Differential Equations and Their Applications
Parution
2019-02-15
Marque
Birkhäuser
EAN papier
9783030110987
EAN PDF
9783030110994
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
21
Taille du fichier
3215 Ko
Prix
94,94 €
EAN EPUB
9783030110994
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
21
Taille du fichier
19804 Ko
Prix
94,94 €

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