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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories: 74 (Encyclopedia of Mathematics and its Applications, Series Number 74) - Hardcover
Synopsis
Originally 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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Review
Review of the hardback: 'This impressive volume is a superb achievement and will be a must for all those who are interested in the quadratic optimal control of parabolic PDEs and in general in the control of PDEs.' A. Akutowicz, Zentralblatt MATH
Review of the hardback: '... a comprehensive and up-to-date treatment ...'. European Maths Society Journal
Book Description
Originally published in 2000, this is the first volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 1 presents the abstract parabolic and hyperbolic settings, including many fascinating results.
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- PublisherCambridge University Press
- Publication date2000
- ISBN 10 0521434084
- ISBN 13 9780521434089
- BindingHardcover
- LanguageEnglish
- Number of pages672
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Control Theory For Partial Differential Equations Volume 1: Abstract Parabolic Systems
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Cambridge University Press, 2000
ISBN 10: 0521434084
ISBN 13: 9780521434089
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Control Theory For Partial Differential Equations Volume 1: Abstract Parabolic Systems
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ISBN 13: 9780521434089
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Control Theory for Partial Differential Equations
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Control Theory for Partial Differential Equations
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ISBN 13: 9780521434089
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Control Theory for Partial Differential Equations
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications, Series Number 74)
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Cambridge University Press, 2000
ISBN 10: 0521434084
ISBN 13: 9780521434089
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications, Series Number 74)
Published by
Cambridge University Press, 2000
ISBN 10: 0521434084
ISBN 13: 9780521434089
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories (Hardcover)
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ISBN 10: 0521434084
ISBN 13: 9780521434089
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Hardcover. Condition: new. Hardcover. This is the first volume of a comprehensive and up-to-date 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. The authors describe both continuous theory and numerical approximation. They use an abstract space, operator theoretic approach, based on semigroups methods and 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 I includes the abstract parabolic theory (continuous theory and numerical approximation theory) for the finite and infinite cases and corresponding PDE illustrations, and presents numerous new 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. This is the first volume of a comprehensive and up-to-date 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. The authors describe both continuous theory and numerical approximation. They use an abstract space, operator theoretic approach, based on semigroups methods and 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 I includes the abstract parabolic theory (continuous theory and numerical approximation theory) for the finite and infinite cases and corresponding PDE illustrations, and presents numerous new 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521434089
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Control Theory for Partial Differential Equations: Continuous and Approximation Theories : Abstract Parabolic Systems: Vol 001
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories (Encyclopedia of Mathematics and its Applications, Series Number 74)
Published by
Cambridge University Press, 2000
ISBN 10: 0521434084
ISBN 13: 9780521434089
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