Primer on Optimal Control Theory

Primer on Optimal Control Theory

Author: Jason L. Speyer

Publisher: SIAM

Published: 2010-05-13

Total Pages: 316

ISBN-13: 0898716942

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A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.


Optimal Control Theory for Infinite Dimensional Systems

Optimal Control Theory for Infinite Dimensional Systems

Author: Xungjing Li

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 462

ISBN-13: 1461242606

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Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.


Flow Control

Flow Control

Author: Max D. Gunzburger

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 387

ISBN-13: 1461225264

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The articles in this volume cover recent work in the area of flow control from the point of view of both engineers and mathematicians. These writings are especially timely, as they coincide with the emergence of the role of mathematics and systematic engineering analysis in flow control and optimization. Recently this role has significantly expanded to the point where now sophisticated mathematical and computational tools are being increasingly applied to the control and optimization of fluid flows. These articles document some important work that has gone on to influence the practical, everyday design of flows; moreover, they represent the state of the art in the formulation, analysis, and computation of flow control problems. This volume will be of interest to both applied mathematicians and to engineers.


Optimal Control of Distributed Systems. Theory and Applications

Optimal Control of Distributed Systems. Theory and Applications

Author: A. V. Fursikov

Publisher: American Mathematical Soc.

Published: 1999-11-16

Total Pages: 324

ISBN-13: 9780821897904

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This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.


Flow Control

Flow Control

Author: Mohamed Gad-el-Hak

Publisher: Cambridge University Press

Published: 2000-08-15

Total Pages: 445

ISBN-13: 0521770068

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A thorough treatment of the basics of flow control and flow control practices.


Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics

Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics

Author: Wilfried Grecksch

Publisher: World Scientific

Published: 2020-04-22

Total Pages: 261

ISBN-13: 9811209804

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This volume contains survey articles on various aspects of stochastic partial differential equations (SPDEs) and their applications in stochastic control theory and in physics.The topics presented in this volume are:This book is intended not only for graduate students in mathematics or physics, but also for mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical applications of the theory of stochastic processes.


Evolution Equations, Control Theory, and Biomathematics

Evolution Equations, Control Theory, and Biomathematics

Author: Philippe Clement

Publisher: CRC Press

Published: 1993-11-23

Total Pages: 618

ISBN-13: 9780824788858

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Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications.


Active Flow Control II

Active Flow Control II

Author: Rudibert King

Publisher: Springer Science & Business Media

Published: 2010-04-06

Total Pages: 417

ISBN-13: 364211735X

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The interest in the field of active flow control (AFC) is steadily increasing. In - cent years the number of conferences and special sessions devoted to AFC org- ized by various institutions around the world continuously rises. New advanced courses for AFC are offered by the American Institute of Aeronautics and Ast- nautics (AIAA), the European Research Community on Flow, Turbulence and Combustion (ERCOFTAC), the International Centre for Mechanical Sciences (CISM), the von Karman Institute for Fluid Dynamics (VKI), to name just a few. New books on AFC are published by prominent colleagues of our field and even a new periodical, the ‘International Journal of Flow Control’, appeared. Despite these many activities in AFC it was felt that a follow-up of the highly successful ‘ACTIVE FLOW CONTROL’ Conference held in Berlin in 2006 was appropriate. As in 2006, ‘ACTIVE FLOW CONTROL II’ consisted only of invited lectures. To sti- late multidisciplinary discussions between experimental, theoretical and numerical fluid dynamics, aerodynamics, turbomachinary, mathematics, control engineering, metrology and computer science parallel sessions were excluded. Unfortunately, not all of the presented papers made it into this volume. As the preparation and printing of a book takes time and as this volume should be available at the conf- ence, the Local Organizing Committee had to set up a very ambitious time sch- ule which could not be met by all contributors.