Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon
Continuous and Approximation Theories
1st Edition
Published on 13. February 2000
452 pages
978-1-107-10883-7 (ISBN)
Description
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.
Reviews / Votes
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 fuer 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 NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
File size
21,14 MB
ISBN-13
978-1-107-10883-7 (9781107108837)
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Schweitzer Classification
Other editions
Additional editions
Irena Lasiecka | Roberto Triggiani
Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon
Continuous and Approximation Theories
Book
04/2011
Cambridge University Press
€104.10
Shipment within 15-20 days
Irena Lasiecka | Roberto Triggiani
Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon
Continuous and Approximation Theories
Book
02/2000
Cambridge University Press
€194.80
Shipment within 15-20 days
Persons
Content
1. Categories; 2. Categories and exact sequences; 3. Change of rings; 4. The Morita theory; 5. Limits in categories; 6. Localization; 7. Local-global methods.
