Control Theory for Partial Differential Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (99 download)

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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

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Publisher :
ISBN 13 : 9781299749214
Total Pages : pages
Book Rating : 4.7/5 (492 download)

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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 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

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Publisher : Cambridge University Press
ISBN 13 : 9780521434089
Total Pages : 678 pages
Book Rating : 4.4/5 (34 download)

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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: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon

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Publisher : Cambridge University Press
ISBN 13 : 9780521584012
Total Pages : 458 pages
Book Rating : 4.5/5 (84 download)

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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 of Partial Differential Equations

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Publisher : Chapman and Hall/CRC
ISBN 13 : 9780824725464
Total Pages : 416 pages
Book Rating : 4.7/5 (254 download)

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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.

Mathematical Control of Coupled PDEs

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Publisher : SIAM
ISBN 13 : 0898714869
Total Pages : 248 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Control of Coupled PDEs by : Irena Lasiecka

Download or read book Mathematical Control of Coupled PDEs written by Irena Lasiecka and published by SIAM. This book was released on 2002-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.

Trends in Control Theory and Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3030179494
Total Pages : 276 pages
Book Rating : 4.0/5 (31 download)

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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.

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

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Publisher :
ISBN 13 : 9781299748927
Total Pages : pages
Book Rating : 4.7/5 (489 download)

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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 . This book was released on 2014-02-20 with total page 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 of Systems Governed by Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 1483216306
Total Pages : 288 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Control Theory of Systems Governed by Partial Differential Equations by : A.K. Aziz

Download or read book Control Theory of Systems Governed by Partial Differential Equations written by A.K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.

Partial Differential Control Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792370352
Total Pages : 578 pages
Book Rating : 4.3/5 (73 download)

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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.

Mathematical Control Theory for Stochastic Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3030823318
Total Pages : 592 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Control Theory for Stochastic Partial Differential Equations by : Qi Lü

Download or read book Mathematical Control Theory for Stochastic Partial Differential Equations written by Qi Lü and published by Springer Nature. This book was released on 2021-10-19 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Robust Engineering Designs of Partial Differential Systems and Their Applications

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Publisher : CRC Press
ISBN 13 : 1000514064
Total Pages : 459 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Robust Engineering Designs of Partial Differential Systems and Their Applications by : Bor-Sen Chen

Download or read book Robust Engineering Designs of Partial Differential Systems and Their Applications written by Bor-Sen Chen and published by CRC Press. This book was released on 2021-12-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers both time‐domain and frequency domain robust design techniques of partial differential systems Illustrates both theoretical robust design techniques and practical applications Discusses partial differential systems with both Dirichlet and Neuman boundary conditions in robust design procedure Addresses deterministic and stochastic partial differential systems Explores theoretical mathematical background, robust signal processing design, robust control system design and robust biological system design with application

Optimal Control of Partial Differential Equations

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Publisher : American Mathematical Society
ISBN 13 : 1470476444
Total Pages : 417 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch

Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Society. This book was released on 2024-03-21 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.

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

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Publisher :
ISBN 13 : 9781107089013
Total Pages : 452 pages
Book Rating : 4.0/5 (89 download)

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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 . This book was released on 2014-05-14 with total page 452 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.

Optimal Control of Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849042
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch

Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Soc.. This book was released on 2010 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. It includes topics on the existence of optimal solutions.

Semigroups of Operators -Theory and Applications

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Publisher : Springer
ISBN 13 : 3319121456
Total Pages : 337 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Semigroups of Operators -Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators -Theory and Applications written by Jacek Banasiak and published by Springer. This book was released on 2014-11-20 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIV

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Publisher : EOLSS Publications
ISBN 13 : 1848261535
Total Pages : 394 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIV by : Heinz D. Unbehauen

Download or read book CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIV written by Heinz D. Unbehauen and published by EOLSS Publications. This book was released on 2009-10-11 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia of Control Systems, Robotics, and Automation is a component of the global Encyclopedia of Life Support Systems EOLSS, which is an integrated compendium of twenty one Encyclopedias. This 22-volume set contains 240 chapters, each of size 5000-30000 words, with perspectives, applications and extensive illustrations. It is the only publication of its kind carrying state-of-the-art knowledge in the fields of Control Systems, Robotics, and Automation and is aimed, by virtue of the several applications, at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs