Control Theory for Partial Differential Equations: Continuous and Approximation Theories: 74 (Encyclopedia of Mathematics and its Applications, Series Number 74) - Softcover

Book 66 of 188: Encyclopedia of Mathematics and its Applications

Lasiecka, Irena

 
9780521155670: Control Theory for Partial Differential Equations: Continuous and Approximation Theories: 74 (Encyclopedia of Mathematics and its Applications, Series Number 74)
Softcover
ISBN 10: 0521155673 ISBN 13: 9780521155670
Publisher: Cambridge University Press, 2006

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.

"synopsis" may belong to another edition of this title.

Review

Review of the hardback: 'This impressive volume is a superb achievement and will be a must for all those who are interested in the quadratic optimal control of parabolic PDEs and in general in the control of PDEs.' A. Akutowicz, Zentralblatt MATH

Review of the hardback: '... a comprehensive and up-to-date treatment ...'. European Maths Society Journal

Book Description

Originally published in 2000, this is the first volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 1 presents the abstract parabolic and hyperbolic settings, including many fascinating results.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2006
Language
English
ISBN 10 
0521155673
ISBN 13 
9780521155670
Binding
Paperback
Number of pages
672

Other Popular Editions of the Same Title

9780521434089: Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories: 74 (Encyclopedia of Mathematics and its Applications, Series Number 74)

Featured Edition

ISBN 10:  0521434084 ISBN 13:  9780521434089
Publisher: Cambridge University Press, 2000
Hardcover