Nonsmooth Optimization Analysis And Algorithms With Applications To Optimal Control PDF Download
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Author | : Marko M Makela |
Publisher | : World Scientific |
Total Pages | : 268 |
Release | : 1992-05-07 |
Genre | : Mathematics |
ISBN | : 9814522414 |
Download Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 254 |
Release | : 1992 |
Genre | : |
ISBN | : |
Download Nonsmooth optimization Book in PDF, ePub and Kindle
Author | : Marko M. Mäkelä |
Publisher | : |
Total Pages | : 168 |
Release | : 1990 |
Genre | : Mathematical optimization |
ISBN | : 9789516803077 |
Download Nonsmooth Optimization Book in PDF, ePub and Kindle
Author | : Frank H. Clarke |
Publisher | : SIAM |
Total Pages | : 94 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 0898712416 |
Download Methods of Dynamic and Nonsmooth Optimization Book in PDF, ePub and Kindle
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 |
Total Pages | : 377 |
Release | : 2014-08-12 |
Genre | : Business & Economics |
ISBN | : 3319081144 |
Download Introduction to Nonsmooth Optimization Book in PDF, ePub and Kindle
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 |
Total Pages | : 587 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 0387242554 |
Download Optimization and Control with Applications Book in PDF, ePub and Kindle
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 | : F.H. Clarke |
Publisher | : Springer Science & Business Media |
Total Pages | : 481 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1475760191 |
Download Nonsmooth Optimization and Related Topics Book in PDF, ePub and Kindle
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 | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download Advances in Nonsmooth Optimization, Optimal Control, and Related Topics Book in PDF, ePub and Kindle
Author | : Frank H. Clarke |
Publisher | : Society for Industrial and Applied Mathematics |
Total Pages | : 320 |
Release | : 1987-01-01 |
Genre | : Mathematics |
ISBN | : 9780898712568 |
Download Optimization and Nonsmooth Analysis Book in PDF, ePub and Kindle
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.
Author | : Adil M. Bagirov |
Publisher | : Springer Nature |
Total Pages | : 696 |
Release | : 2020-02-28 |
Genre | : Business & Economics |
ISBN | : 3030349101 |
Download Numerical Nonsmooth Optimization Book in PDF, ePub and Kindle
Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. Experts from around the world share their perspectives on specific aspects of numerical NSO. The book is divided into four parts, the first of which considers general methods including subgradient, bundle and gradient sampling methods. In turn, the second focuses on methods that exploit the problem’s special structure, e.g. algorithms for nonsmooth DC programming, VU decomposition techniques, and algorithms for minimax and piecewise differentiable problems. The third part considers methods for special problems like multiobjective and mixed integer NSO, and problems involving inexact data, while the last part highlights the latest advancements in derivative-free NSO. Given its scope, the book is ideal for students attending courses on numerical nonsmooth optimization, for lecturers who teach optimization courses, and for practitioners who apply nonsmooth optimization methods in engineering, artificial intelligence, machine learning, and business. Furthermore, it can serve as a reference text for experts dealing with nonsmooth optimization.