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| Author | : H. Thomas Banks |
| Publisher | : SIAM |
| Total Pages | : 250 |
| Release | : 1993-01-01 |
| Genre | : Science |
| ISBN | : 9780898713176 |
| Author | : A.K. Aziz |
| Publisher | : Academic Press |
| Total Pages | : 289 |
| Release | : 2014-05-10 |
| Genre | : Technology & Engineering |
| ISBN | : 1483216306 |
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.
| Author | : Jacques-Louis Lions |
| Publisher | : Springer |
| Total Pages | : 422 |
| Release | : 1971 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Alfredo Bermudez |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 1989-02-08 |
| Genre | : Technology & Engineering |
| ISBN | : 9783540504955 |
This volume comprises the proceedings of an IFIP conference held at the University of Santiago de Compostela in July 1987. The conference was devoted to the following topics: state constrained optimal control problems, shape optimization, identification of parameters, stabilisation, controlability, numerical methods and industrial applications.
| Author | : Fatiha Alabau-Boussouira |
| Publisher | : Springer |
| Total Pages | : 276 |
| Release | : 2019-07-04 |
| Genre | : Mathematics |
| ISBN | : 3030179494 |
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.
| Author | : Pavel S. Knopov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 191 |
| Release | : 2013-09-17 |
| Genre | : Mathematics |
| ISBN | : 1461482860 |
Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields.
| Author | : Kaïs Ammari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 185 |
| Release | : 2020-11-12 |
| Genre | : Education |
| ISBN | : 1470455471 |
This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18–20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.
| Author | : Jacques-Louis Lions |
| Publisher | : |
| Total Pages | : 407 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
| Author | : Jean-michel Coron |
| Publisher | : World Scientific |
| Total Pages | : 315 |
| Release | : 2023-04-11 |
| Genre | : Mathematics |
| ISBN | : 981127164X |
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.
| Author | : Tongjia Zheng |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2023 |
| Genre | : |
| ISBN | : |
