Control theory for partial differential equations : continuous and approximation theories

By:

Lasiecka, I [author.]

Contributor(s):

Triggiani, R [author.]

Material type:

TextLanguage: English Series: ; Encyclopedia of mathematics and its applications ; 74 | Encyclopedia of mathematics and its applications ; 74Publication details: Cambridge : Cambridge University Press, 2000.Description: 1 v. (xxi, 1644p.) : ill. ; 25 cmISBN:

9780521155670

Subject(s):

Other classification:

B334 P0 NBHM

Contents:

I. Abstract parabolic systems -- II. Abstract hyperbolic-like systems over a finite time horizon.

Summary: Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

Item type:

Textual

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Textual	Faculty of Mathematical Sciences Library	Central Science Library			B334 P0 NBHM (Browse shelf(Opens below))					Available			SL1656152

Includes bibliographical references and index.

I. Abstract parabolic systems -- II. Abstract hyperbolic-like systems over a finite time horizon.

Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

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