Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems
Continuous and Approximation Theories Abstract Parabolic Systems v. 1
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by Irena Lasiecka
Book DescriptionOriginally 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.
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Book DetailsISBN: 9780521434089
(234mm x 156mm x 37mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Feb-2000
Country of Publication: United Kingdom
Books By Author Irena Lasiecka
Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon, Paperback (December 2010)
Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.
Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems, Paperback (November 2010)
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.
Mathematical Control Theory of Coupled PDEs, Paperback (January 1987)» View all books by Irena Lasiecka
Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.
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