Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon

Lasiecka, Irena; Triggiani, Roberto

ISBN 10: 0521584019 / ISBN 13: 9780521584012

Editore: Cambridge University Press, 2000

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Firm, square and tight with sharp corners and sturdy hinges, just showing a few minor rubs and some mild cosmetic wear. Hence a non-text page is stamped 'damaged'. Despite such this book is in nearly new condition. Thus the contents are crisp, fresh and clean. Offered for sale at a very sensible price. Codice articolo 117839

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Titolo: Control Theory for Partial Differential ...

Casa editrice: Cambridge University Press

Data di pubblicazione: 2000

Legatura: Hardcover

Condizione: Like New

Edizione: First Edition.

Descrizione articolo

Riassunto:

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.

Recensione:

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