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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation ... and its Applications, Series Number 75) - Hardcover
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.
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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.
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- PublisherCambridge University Press
- Publication date2000
- ISBN 10 0521584019
- ISBN 13 9780521584012
- BindingHardcover
- LanguageEnglish
- Number of pages452
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon: Continuous & Approximation.
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon: Continuous & Approximation.
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation . and its Applications, Series Number 75)
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ISBN 13: 9780521584012
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Control Theory for Partial Differential Equations: Continuous and Approximation Theories: Volume 2
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Control Theory for Partial Differential Equations Volume 2, Abstract Hyperbolic-Like Systems over a Finite Time Horizon: Continuous and Approximation Theories
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Cambridge University Press, 2000
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ISBN 13: 9780521584012
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation Theories
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Cambridge University Press, 2000
ISBN 10: 0521584019
ISBN 13: 9780521584012
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon
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ISBN 13: 9780521584012
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Control Theory for Partial Differential Equations: Continuous and Approximation Theories: 2. Abstract Hyperbolic-like Systems Over a Finite Time Horizon (Encyclopedia of Mathematics and its Applications)
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Control Theory for Partial Differential Equations : Continuous and Approximation Theories
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