| Title:
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CONTROL THEORY FOR PARTIAL DIFFERENTIAL EQUATIONS: VOLUME 1, ABSTRACT PARABOLIC SYSTEMS
CONTINUOUS AND APPROXIMATION THEORIES |
| Volume: |
v. 1 |
| By: |
Irena Lasiecka, Roberto Triggiani, G.-C. Rota |
| Format: |
Hardback |
| List price:
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£170.00 |
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| ISBN 10: |
0521434084 |
| ISBN 13: |
9780521434089 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
13 February, 2000 |
| Series: |
Encyclopedia of Mathematics and Its Applications No. 74 |
| Pages: |
672 |
| Description: |
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000. |
| Synopsis: |
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. |
| Illustrations: |
12 b/w illus. 1 table |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |