Titre: Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon: Continuous & Approximation.
�diteur: Cambridge.
Date de parution: 2000
Langue: anglais
ISBN � 10 chiffres: 0521584019
ISBN � 13 chiffres: 9780521584012
Reliure: Couverture rigide
�tat de l'article: Used - Very Good
�tat de la jaquette: Jaquette

A propos de ce titre

Synopsis

Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.

Pr�sentation de l'�diteur

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.

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