Control Theory For Partial Differential Equations
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Control Theory For Partial Differential Equations Volume 1 Abstract Parabolic Systems
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Author : Irena Lasiecka
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13
Control Theory For Partial Differential Equations Volume 1 Abstract Parabolic Systems written by Irena Lasiecka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.
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.
Control Theory Of Partial Differential Equations
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Author : Guenter Leugering
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2005-05-27
Control Theory Of Partial Differential Equations written by Guenter Leugering and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-27 with Mathematics categories.
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.
Optimal Control Of Partial Differential Equations
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Author : Fredi Tröltzsch
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Optimal Control Of Partial Differential Equations written by Fredi Tröltzsch and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
Control Theory For Partial Differential Equations
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Author : Irena Lasiecka
language : en
Publisher:
Release Date : 2013-08-13
Control Theory For Partial Differential Equations written by Irena Lasiecka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with categories.
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.
Trends In Control Theory And Partial Differential Equations
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Author : Fatiha Alabau-Boussouira
language : en
Publisher: Springer
Release Date : 2019-07-04
Trends In Control Theory And Partial Differential Equations written by Fatiha Alabau-Boussouira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-04 with Mathematics categories.
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 Of Partial Differential Equations
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Author : Guenter Leugering
language : en
Publisher: CRC Press
Release Date : 2005-05-27
Control Theory Of Partial Differential Equations written by Guenter Leugering and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-27 with Mathematics categories.
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 a
Control Theory Of Systems Governed By Partial Differential Equations
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Author : A.K. Aziz
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Control Theory Of Systems Governed By Partial Differential Equations written by A.K. Aziz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Technology & Engineering categories.
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.
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon
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Author : Irena Lasiecka
language : en
Publisher:
Release Date : 2014-02-20
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon written by Irena Lasiecka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-20 with categories.
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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Author : Guenter Leugering
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2017-08-09
Control Theory Of Partial Differential Equations written by Guenter Leugering and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-09 with categories.
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.
Optimal Control Of Systems Governed By Partial Differential Equations
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Author : Jacques Louis Lions
language : en
Publisher: Springer
Release Date : 1971-01-01
Optimal Control Of Systems Governed By Partial Differential Equations written by Jacques Louis Lions and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
1. The development of a theory of optimal control (deterministic) requires the following initial data: (i) a control u belonging to some set ilIi ad (the set of 'admissible controls') which is at our disposition, (ii) for a given control u, the state y(u) of the system which is to be controlled is given by the solution of an equation (*) Ay(u)=given function ofu where A is an operator (assumed known) which specifies the system to be controlled (A is the 'model' of the system), (iii) the observation z(u) which is a function of y(u) (assumed to be known exactly; we consider only deterministic problems in this book), (iv) the "cost function" J(u) ("economic function") which is defined in terms of a numerical function z-+