Control theory for partial differential equations : continuous and approximation theories / Irena Lasiecka and Roberto Triggiani.

By:

Lasiecka, I [author.]

Contributor(s):

Triggiani, R [co- author.]

Material type: Text

TextLanguage: English Series: ; Encyclopedia of mathematics and its applications ; 75 | Encyclopedia of mathematics and its applications ; v. 75.Publication details: Cambridge ; Cambridge University Press, 2000.Description: 2 v. (xxi, 1067 p.) : ill. ; 25 cmISBN:

9780521155687

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 second 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 unifies 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 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. 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. In-depth, comprehensive coverage Wealth of illustrative examples Continuous theory and numerical approximation theory

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Holdings
Item type	Current library	Home library	Call number	Status	Barcode
Textual	Faculty of Mathematical Sciences Library	Central Science Library	B334 P0 NBHM (Browse shelf(Opens below))	Available	SL1656153

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 second 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 unifies 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 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. 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.

In-depth, comprehensive coverage
Wealth of illustrative examples
Continuous theory and numerical approximation theory

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