Optimal Control of Systems Governed by Partial Differential Equations
Author: Jacques-Louis Lions
Publisher: Springer
Published: 1971
Total Pages: 422
ISBN-13:
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Author: Jacques-Louis Lions
Publisher: Springer
Published: 1971
Total Pages: 422
ISBN-13:
DOWNLOAD EBOOKAuthor: Fatiha Alabau-Boussouira
Publisher: Springer
Published: 2012-04-23
Total Pages: 355
ISBN-13: 3642278930
DOWNLOAD EBOOKThe term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.
Author: Tongjia Zheng
Publisher:
Published: 2023
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: A.K. Aziz
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 289
ISBN-13: 1483216306
DOWNLOAD EBOOKControl 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.
Author: José Luis Menaldi
Publisher:
Published: 2001
Total Pages: 616
ISBN-13:
DOWNLOAD EBOOKAuthor: Irwin Yousept
Publisher: Cuvillier Verlag
Published: 2008
Total Pages: 26
ISBN-13: 3867276684
DOWNLOAD EBOOKAuthor: Alfio Borzi
Publisher: SIAM
Published: 2012-01-26
Total Pages: 295
ISBN-13: 1611972043
DOWNLOAD EBOOKThis book provides a bridge between continuous optimization and PDE modelling and focuses on the numerical solution of the corresponding problems. Intended for graduate students in PDE-constrained optimization, it is also suitable as an introduction for researchers in scientific computing or optimization.
Author: Roland Herzog
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2022-03-07
Total Pages: 474
ISBN-13: 3110695987
DOWNLOAD EBOOKThis book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
Author: Fatiha Alabau-Boussouira
Publisher: Springer
Published: 2019-07-04
Total Pages: 276
ISBN-13: 3030179494
DOWNLOAD EBOOKThis 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.
Author: H. Thomas Banks
Publisher: SIAM
Published: 1993-01-01
Total Pages: 250
ISBN-13: 9780898713176
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