Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Irena Lasiecka, Roberto Triggiani

ISBN 10: 0521155673 / ISBN 13: 9780521155670

Published by Cambridge University Press, GB, 2010

About this Item

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.

Seller Inventory # LU-9780521155670

Bibliographic Details

• Title: Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems
• Publisher: Cambridge University Press, GB
• Publication Date: 2010
• Language: English
• ISBN 10: 0521155673
• ISBN 13: 9780521155670
• Binding: Paperback
• Condition: New
• Weight: 930 grams

About this title

Synopsis

This is the first volume of a comprehensive and up-to-date two-volume treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Emphasis is placed on boundary/point control and observation. The abstract, unifying treatment is illustrated with many concrete examples. Volume 1 presents the abstract parabolic and hyperbolic settings, including many new 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.