عنوان

Controllability and stabilization of parabolic equations /

(Number (ISBN

331976666X

(Number (ISBN

9783319766669

Erroneous ISBN

9783319766652

Title Proper

Controllability and stabilization of parabolic equations /

General Material Designation

[Book]

First Statement of Responsibility

Viorel Barbu.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (x, 226 pages)

Series Title

Progress in nonlinear differential equations and their applications,

Volume Designation

volume 90

ISSN of Series

1421-1750 ;

Text of Note

Includes bibliographical references and index.

Text of Note

Preface -- Acronyms -- Preliminaries -- The Carleman Inequality for Linear Parabolic Equations -- Exact Controllability of Parabolic Equations -- Internal Controllability of Parabolic Equations with Inputs in Coefficients -- Feedback Stabilization of Semilinear Parabolic Equations -- Boundary Stabilization of Navier-Stokes Equations -- Index.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319766669

Control theory.

Parabolic operators.

Automatic control engineering.

Control theory.

Cybernetics & systems theory.

Differential calculus & equations.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

Maths for engineers.

Parabolic operators.

MAT-- 005000

MAT-- 034000

Number

Edition

Class number

Barbu, Viorel,1941-

Date of Transaction

20200823111236.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y