Control Theory for Partial Differential Equations: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications)

Irena Lasiecka, Roberto Triggiani

ISBN 10: 0521155673 / ISBN 13: 9780521155670

Published by Cambridge University Press 2006-11-24, 2006

About this Item

Seller Inventory # 6666-IUK-9780521155670

Bibliographic Details

• Title: Control Theory for Partial Differential Equations: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications)
• Publisher: Cambridge University Press 2006-11-24
• Publication Date: 2006
• Language: English
• ISBN 10: 0521155673
• ISBN 13: 9780521155670
• Binding: Paperback
• Condition: New

About this title

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.

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