Control Theory for Partial Differential Equations: Continuous and Approximation Theories: 75 (Encyclopedia of Mathematics and its Applications, Series Number 75) - Softcover

Lasiecka, Irena

Softcover

ISBN 10: 0521155681 ISBN 13: 9780521155687

Publisher: Cambridge University Press, 2011

Synopsis

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.

About this title

Review

Review of the hardback: 'This excellent work will be a key reference for all of those who are interested in the quadratic optimal control of hyperbolic partial differential equations (PDEs) and in general in the control of PDEs.' A. Akutowicz, Zentralblatt für Mathematik

Review of the hardback: 'The reader will find much important information on various aspects of semigroup theory and on the regularity of solutions of hyperbolic equations.' EMS Newsletter

Book Description

Originally published in 2000, this is the second volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many fascinating results.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2011
• ISBN 10: 0521155681
• ISBN 13: 9780521155687
• Binding: Paperback
• Language: English
• Number of pages: 452