Control Theory for Partial Differential Equations

Control Theory for Partial Differential Equations

Author: Irena Lasiecka

Publisher:

Published: 2000

Total Pages:

ISBN-13:

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Book Synopsis Control Theory for Partial Differential Equations by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations written by Irena Lasiecka and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Control Theory for Partial Differential Equations

Control Theory for Partial Differential Equations

Author: Irena Lasiecka

Publisher:

Published: 2013-08-13

Total Pages:

ISBN-13: 9781299749214

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First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.


Book Synopsis Control Theory for Partial Differential Equations by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations written by Irena Lasiecka and published by . This book was released on 2013-08-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.


Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Author: Irena Lasiecka

Publisher: Cambridge University Press

Published: 2010-11-25

Total Pages: 0

ISBN-13: 9780521155670

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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.


Book Synopsis Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems written by Irena Lasiecka and published by Cambridge University Press. This book was released on 2010-11-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Author: Irena Lasiecka

Publisher: Cambridge University Press

Published: 2000-02-13

Total Pages: 678

ISBN-13: 9780521434089

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First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.


Book Synopsis Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems written by Irena Lasiecka and published by Cambridge University Press. This book was released on 2000-02-13 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.


Control Theory for Partial Differential Equations

Control Theory for Partial Differential Equations

Author: Irena Lasiecka

Publisher:

Published: 2000

Total Pages:

ISBN-13: 9781139886437

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Book Synopsis Control Theory for Partial Differential Equations by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations written by Irena Lasiecka and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Control Theory of Partial Differential Equations

Control Theory of Partial Differential Equations

Author: Guenter Leugering

Publisher: Chapman and Hall/CRC

Published: 2005-05-27

Total Pages: 416

ISBN-13: 9780824725464

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The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids and elastic structures, and fluid dynamics and the new challenges that they present. Other control theoretic problems include parabolic systems, dynamical Lame systems, linear and nonlinear hyperbolic equations, and pseudo-differential operators on a manifold. This is a valuable tool authored by international specialists in the field.


Book Synopsis Control Theory of Partial Differential Equations by : Guenter Leugering

Download or read book Control Theory of Partial Differential Equations written by Guenter Leugering and published by Chapman and Hall/CRC. This book was released on 2005-05-27 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids and elastic structures, and fluid dynamics and the new challenges that they present. Other control theoretic problems include parabolic systems, dynamical Lame systems, linear and nonlinear hyperbolic equations, and pseudo-differential operators on a manifold. This is a valuable tool authored by international specialists in the field.


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

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

Author: Irena Lasiecka

Publisher: Cambridge University Press

Published: 2000-02-13

Total Pages: 458

ISBN-13: 9780521584012

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


Book Synopsis Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon written by Irena Lasiecka and published by Cambridge University Press. This book was released on 2000-02-13 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Author: Irena Lasiecka

Publisher: Cambridge University Press

Published: 2000-02-13

Total Pages: 672

ISBN-13: 9780521434089

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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.


Book Synopsis Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by : Irena Lasiecka

Download or read book Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems written by Irena Lasiecka and published by Cambridge University Press. This book was released on 2000-02-13 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Trends in Control Theory and Partial Differential Equations

Trends in Control Theory and Partial Differential Equations

Author: Fatiha Alabau-Boussouira

Publisher: Springer

Published: 2019-07-04

Total Pages: 276

ISBN-13: 3030179494

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This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.


Book Synopsis Trends in Control Theory and Partial Differential Equations by : Fatiha Alabau-Boussouira

Download or read book Trends in Control Theory and Partial Differential Equations written by Fatiha Alabau-Boussouira and published by Springer. This book was released on 2019-07-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.


Partial Differential Control Theory

Partial Differential Control Theory

Author: J. F. Pommaret

Publisher: Springer Science & Business Media

Published: 2001

Total Pages: 578

ISBN-13: 9780792370352

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Algebraic analysis, that is the algebraic study of systems of partial differential equations by means of module theory and homological algebra, was pioneered around 1970 by M. Kashiwara, B. Malgrange, and V.P. Palamodov. The theory of differential modules, namely modules over a noncommutative ring of differential operators, is a fashionable subject of research today. However, despite its fundamental importance in mathematics, it can only be found in specialist books and papers, and has only been applied in control theory since 1990. This book provides an account of algebraic analysis and its application to control systems defined by partial differential equations. The first volume presents the mathematical tools needed from both commutative algebra, homological algebra, differential geometry and differential algebra. The second volume applies these new methods in order to study the structural and input/output properties of both linear and nonlinear control systems. Hundreds of explicit examples allow the reader to gain insight and experience in these topics.


Book Synopsis Partial Differential Control Theory by : J. F. Pommaret

Download or read book Partial Differential Control Theory written by J. F. Pommaret and published by Springer Science & Business Media. This book was released on 2001 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic analysis, that is the algebraic study of systems of partial differential equations by means of module theory and homological algebra, was pioneered around 1970 by M. Kashiwara, B. Malgrange, and V.P. Palamodov. The theory of differential modules, namely modules over a noncommutative ring of differential operators, is a fashionable subject of research today. However, despite its fundamental importance in mathematics, it can only be found in specialist books and papers, and has only been applied in control theory since 1990. This book provides an account of algebraic analysis and its application to control systems defined by partial differential equations. The first volume presents the mathematical tools needed from both commutative algebra, homological algebra, differential geometry and differential algebra. The second volume applies these new methods in order to study the structural and input/output properties of both linear and nonlinear control systems. Hundreds of explicit examples allow the reader to gain insight and experience in these topics.