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Author: J. P. van de Wiele
Publisher:
ISBN:
Category :
Languages : fr
Pages : 310
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Book Description
On s'intéresse à la résolution numérique d'un problème de contrôle pour un système régi par des équations aux dérivées partielles un peu différent de ceux qui sont traités par Lions, dans la mesure où l'équation d'état est une équation aux valeurs propres. Ce problème est non linéaire en ce sens que l'état qui est l'unique fonction propre positive de norme L**(2) unité de l'opérateur aux dérivées partielles qui intervient dans l'équation d'état n'est pas affine du contrôle qui intervient comme coefficient de cet opérateur.
Author: J. P. van de Wiele
Publisher:
ISBN:
Category :
Languages : fr
Pages : 310
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Book Description
On s'intéresse à la résolution numérique d'un problème de contrôle pour un système régi par des équations aux dérivées partielles un peu différent de ceux qui sont traités par Lions, dans la mesure où l'équation d'état est une équation aux valeurs propres. Ce problème est non linéaire en ce sens que l'état qui est l'unique fonction propre positive de norme L**(2) unité de l'opérateur aux dérivées partielles qui intervient dans l'équation d'état n'est pas affine du contrôle qui intervient comme coefficient de cet opérateur.
Author: A.K. Aziz
Publisher: Academic Press
ISBN: 1483216306
Category : Technology & Engineering
Languages : en
Pages : 289
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Book Description
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:
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 440
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Book Description
Author: Willis Harmon Ray
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 624
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Author: Alain Tanter
Publisher:
ISBN:
Category :
Languages : fr
Pages : 114
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Book Description
On présente la résolution d'un problème de commande optimale pour un système perturbe par des équations aux dérivées partielles elliptiques. La commande et la perturbation interviennent au second membre de l'équation d'état; le critère est une fonction quadratique de l'état et du contrôle. On donne un résultat d'existence et d'unicité de la commande optimale. Dans une première partie on s'attache à l'étude du problème continu. La deuxième partie est consacrée à la résolution numérique du problème de commande
Author: American Mathematical Society
Publisher: American Mathematical Society(RI)
ISBN:
Category : Mathematics
Languages : en
Pages : 572
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Author:
Publisher:
ISBN:
Category : Econometrics
Languages : fr
Pages : 588
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Book Description
Author: Gérard Dreyfus
Publisher: Springer Science & Business Media
ISBN: 3540288473
Category : Science
Languages : en
Pages : 509
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Book Description
Neural networks represent a powerful data processing technique that has reached maturity and broad application. When clearly understood and appropriately used, they are a mandatory component in the toolbox of any engineer who wants make the best use of the available data, in order to build models, make predictions, mine data, recognize shapes or signals, etc. Ranging from theoretical foundations to real-life applications, this book is intended to provide engineers and researchers with clear methodologies for taking advantage of neural networks in industrial, financial or banking applications, many instances of which are presented in the book. For the benefit of readers wishing to gain deeper knowledge of the topics, the book features appendices that provide theoretical details for greater insight, and algorithmic details for efficient programming and implementation. The chapters have been written by experts and edited to present a coherent and comprehensive, yet not redundant, practically oriented introduction.
Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 1461207754
Category : Mathematics
Languages : en
Pages : 384
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Book Description
On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the Wenner-Gren foundation in Stockholm. We want to thank all these organisations for their support
Author: H. A. Thurston
Publisher: Courier Corporation
ISBN: 0486154947
Category : Mathematics
Languages : en
Pages : 146
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Book Description
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.
