Nonsmooth Optimization Analysis And Algorithms With Applications To Optimal Control

Author : Marko M Makela
Publisher : World Scientific
ISBN 13 : 9814522414
Total Pages : 268 pages
Book Rating : 4.10/5 ( download)

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Download or read book Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control written by Marko M Makela and published by World Scientific. This book was released on 1992-05-07 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Author : Marko Makela
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.61/5 ( download)

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Download or read book Nonsmooth optimization written by Marko Makela and published by . This book was released on 1992 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marko M. Mäkelä
Publisher :
ISBN 13 : 9789516803077
Total Pages : 168 pages
Book Rating : 4.75/5 ( download)

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Download or read book Nonsmooth Optimization written by Marko M. Mäkelä and published by . This book was released on 1990 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Frank H. Clarke
Publisher : SIAM
ISBN 13 : 0898712416
Total Pages : 94 pages
Book Rating : 4.14/5 ( download)

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Download or read book Methods of Dynamic and Nonsmooth Optimization written by Frank H. Clarke and published by SIAM. This book was released on 1989-01-01 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the elements of a unified approach to optimization based on 'nonsmooth analysis', a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized.

Author : Adil Bagirov
Publisher : Springer
ISBN 13 : 3319081144
Total Pages : 377 pages
Book Rating : 4.44/5 ( download)

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Download or read book Introduction to Nonsmooth Optimization written by Adil Bagirov and published by Springer. This book was released on 2014-08-12 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Author : Liqun Qi
Publisher : Springer Science & Business Media
ISBN 13 : 0387242554
Total Pages : 587 pages
Book Rating : 4.52/5 ( download)

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Download or read book Optimization and Control with Applications written by Liqun Qi and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

Author : Philip Daniel Loewen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870198
Total Pages : 172 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Optimal Control Via Nonsmooth Analysis written by Philip Daniel Loewen and published by American Mathematical Soc.. This book was released on with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete and unified treatment of deterministic problems of dynamic optimization, from the classical themes of the calculus of variations to the forefront of modern research in optimal control. At the heart of the presentation is nonsmooth analysis, a theory of local approximation developed over the last twenty years to provide useful first-order information about sets and functions lying beyond the reach of classical analysis. The book includes an intuitive and geometrically transparent approach to nonsmooth analysis, serving not only to introduce the basic ideas, but also to illuminate the calculations and derivations in the applied sections dealing with the calculus of variations and optimal control. Written in a lively, engaging style and stocked with numerous figures and practice problems, this book offers an ideal introduction to this vigorous field of current research. It is suitable as a graduate text for a one-semester course in optimal control or as a manual for self-study. Each chapter closes with a list of references to ease the reader's transition from active learner to contributing researcher. This series is published by the AMS for the Centre de Recherches Math\'ematiques.

Author : F.H. Clarke
Publisher : Springer Science & Business Media
ISBN 13 : 1475760191
Total Pages : 481 pages
Book Rating : 4.94/5 ( download)

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Download or read book Nonsmooth Optimization and Related Topics written by F.H. Clarke and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited texts of the lect. nres presented at the International School of Mathematics devoted to Nonsmonth Optimization, held from . June 20 to July I, 1988. The site for the meeting was the "Ettore ~Iajorana" Centre for Sci entific Culture in Erice, Sicily. In the tradition of these meetings the main purpose was to give the state-of-the-art of an important and growing field of mathematics, and to stimulate interactions between finite-dimensional and infinite-dimensional op timization. The School was attended by approximately 80 people from 23 countries; in particular it was possible to have some distinguished lecturers from the SO\·iet Union, whose research institutions are here gratt-fnlly acknowledged. Besides the lectures, several seminars were delivered; a special s·~ssion was devoted to numerical computing aspects. The result was a broad exposure. gi ·. ring a deep knowledge of the present research tendencies in the field. We wish to express our appreciation to all the participants. Special mention 5hould be made of the Ettorc ;. . Iajorana Centre in Erice, which helped provide a stimulating and rewarding experience, and of its staff which was fundamental for the success of the meeting. j\, loreover, WP want to extend uur deep appreci

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.27/5 ( download)

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Download or read book Advances in Nonsmooth Optimization, Optimal Control, and Related Topics written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Frank H. Clarke
Publisher : Society for Industrial and Applied Mathematics
ISBN 13 : 9780898712568
Total Pages : 320 pages
Book Rating : 4.64/5 ( download)

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Download or read book Optimization and Nonsmooth Analysis written by Frank H. Clarke and published by Society for Industrial and Applied Mathematics. This book was released on 1987-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to the analysis of problems in optimal control and mathematical programming. Examples are drawn from economics, engineering, mathematical physics, and various branches of analysis in this reprint volume.