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Approximation and Optimization of Discrete and Differential Inclusions

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Release : 2011-08-25
Genre : Mathematics
Kind : eBook
Book Rating : 330/5 ( reviews)

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Book Synopsis Approximation and Optimization of Discrete and Differential Inclusions by : Elimhan N Mahmudov

Download or read book Approximation and Optimization of Discrete and Differential Inclusions written by Elimhan N Mahmudov. This book was released on 2011-08-25. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples

Optimization and Finite Difference Approximations of Nonconvex Differential Inclusions with Free Time

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Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Optimization and Finite Difference Approximations of Nonconvex Differential Inclusions with Free Time by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Optimization and Finite Difference Approximations of Nonconvex Differential Inclusions with Free Time written by University of Minnesota. Institute for Mathematics and Its Applications. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Analysis and Generalized Differentiation II

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Release : 2006-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 463/5 ( reviews)

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Book Synopsis Variational Analysis and Generalized Differentiation II by : Boris S. Mordukhovich

Download or read book Variational Analysis and Generalized Differentiation II written by Boris S. Mordukhovich. This book was released on 2006-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

Finite-difference Approximations and Optimal Control of Differential Inclusions

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Release : 2015
Genre : Differential inclusions
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Book Synopsis Finite-difference Approximations and Optimal Control of Differential Inclusions by : Yuan Tian

Download or read book Finite-difference Approximations and Optimal Control of Differential Inclusions written by Yuan Tian. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation concerns the study of the generalized Bolza type problem for dynamic systems governed by constrained differential inclusions. We develop finite-discrete approximations of differential inclusions by using the implicit Euler scheme and the Runge-Kutta scheme for approximating time derivatives, while an appropriate well-posedness of such approximations is justified. Our principal result establishes the uniform approximation of strong local minimizers for the continuous-time Bolza problem by optimal solutions to the corresponding discretized finite-difference systems by the strengthen -norm approximation of this type in the case "intermediate" (between strong and weak minimizers) local minimizers under additional assumptions. Especially the implicitly discrete approximation is under the general ROSL setting. Finally, we derive necessary optimality conditions for each scheme for the discretized Bolza problems via suitable generalized differential constructions of variational analysis.

Trends in Mathematical Optimization

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Release : 2013-03-07
Genre : Science
Kind : eBook
Book Rating : 977/5 ( reviews)

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Book Synopsis Trends in Mathematical Optimization by : K.H. Hoffmann

Download or read book Trends in Mathematical Optimization written by K.H. Hoffmann. This book was released on 2013-03-07. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of 23 papers presented at the 4th French-German Conference on Optimization, hold at Irsee, April 21 - 26, 1986. The conference was aUended by ninety scientists: about one third from France, from Germany and from third countries each. They all contributed to a highly interesting and stimulating meeting. The scientifique program consisted of four survey lectures of a more tutorical character and of 61 contributed papers covering almost all areas of optimization. In addition two informal evening sessions and a plenary discussion on further developments of optimization theory were organized. One of the main aims of the organizers was to indicate and to stress the increasing importance of optimization methods for almost all areas of science and for a fast growing number of industry branches. We hope that the conference approached this goal in a certain degree and managed to continue fruitful discussions between -theory and -applications-. Equally important to the official contributions and lectures is the -nonmeasurable part of activities inherent in such a scientific meeting. Here the charming and inspiring atmosphere of a place like Irsee helped to establish numerous new contacts between the participants and to deepen already existing ones. The conference was sponsored by the Bayerische Kultusministerium, the Deutsche Forschungsgemeinschaft and the Universities of Augsburg and Bayreuth. Their interest in the meeting and their assistance is gratefully acknowledged. We would like to thank the authors for their contributions and the referees for their helpful comments.

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