Controllability Of Partial Differential Equations Governed By Multiplicative Controls


Controllability Of Partial Differential Equations Governed By Multiplicative Controls
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Controllability Of Partial Differential Equations Governed By Multiplicative Controls


Controllability Of Partial Differential Equations Governed By Multiplicative Controls
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Author : Alexander Y. Khapalov
language : en
Publisher: Springer
Release Date : 2010-05-19

Controllability Of Partial Differential Equations Governed By Multiplicative Controls written by Alexander Y. Khapalov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-19 with Mathematics categories.


This monograph addresses the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The methodology is illustrated with a variety of model equations.



Control Theory Of Systems Governed By Partial Differential Equations


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.



Trends In Control Theory And Partial Differential Equations


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 Of Partial Differential Equations


Control Of Partial Differential Equations
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Author : Jean-michel Coron
language : en
Publisher: World Scientific
Release Date : 2023-04-11

Control Of Partial Differential Equations written by Jean-michel Coron and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-11 with Mathematics categories.


This book is mainly a collection of lecture notes for the 2021 LIASFMA International Graduate School on Applied Mathematics. It provides the readers some important results on the theory, the methods, and the application in the field of 'Control of Partial Differential Equations'. It is useful for researchers and graduate students in mathematics or control theory, and for mathematicians or engineers with an interest in control systems governed by partial differential equations.



Controllability And Stabilization Of Parabolic Equations


Controllability And Stabilization Of Parabolic Equations
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Author : Viorel Barbu
language : en
Publisher: Springer
Release Date : 2018-04-26

Controllability And Stabilization Of Parabolic Equations written by Viorel Barbu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Science categories.


This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.



Symposium On Algebraic Topology


Symposium On Algebraic Topology
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Author : P. J. Hilton
language : en
Publisher: Springer
Release Date : 1971-01-01

Symposium On Algebraic Topology written by P. J. Hilton 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.




Identification And Control In Systems Governed By Partial Differential Equations


Identification And Control In Systems Governed By Partial Differential Equations
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Author : H. Thomas Banks
language : en
Publisher: SIAM
Release Date : 1993-01-01

Identification And Control In Systems Governed By Partial Differential Equations written by H. Thomas Banks and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Science categories.




Recent Developments In The Solution Of Nonlinear Differential Equations


Recent Developments In The Solution Of Nonlinear Differential Equations
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Author : Bruno Carpentieri
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-09-08

Recent Developments In The Solution Of Nonlinear Differential Equations written by Bruno Carpentieri and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-08 with Mathematics categories.


Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.



Controllability Of Partial Differential Equations Governed By Multiplicative Controls


Controllability Of Partial Differential Equations Governed By Multiplicative Controls
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Author : Alexander Y. Khapalov
language : en
Publisher: Springer
Release Date : 2010-05-30

Controllability Of Partial Differential Equations Governed By Multiplicative Controls written by Alexander Y. Khapalov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-30 with Mathematics categories.


This monograph addresses the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The methodology is illustrated with a variety of model equations.



Optimal Control Of Partial Differential Equations Involving Pointwise State Constraints Regularization And Applications


Optimal Control Of Partial Differential Equations Involving Pointwise State Constraints Regularization And Applications
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Author : Irwin Yousept
language : en
Publisher: Cuvillier Verlag
Release Date : 2008

Optimal Control Of Partial Differential Equations Involving Pointwise State Constraints Regularization And Applications written by Irwin Yousept and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.