On the theory of set valued functions with applications in approximation, optimization and control theory

On the theory of set valued functions with applications in approximation, optimization and control theory PDF Author: Dimitrios Kandilakis
Publisher:
ISBN:
Category :
Languages : en
Pages : 136

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Book Description

On the theory of set valued functions with applications in approximation, optimization and control theory

On the theory of set valued functions with applications in approximation, optimization and control theory PDF Author: Dimitrios Kandilakis
Publisher:
ISBN:
Category :
Languages : en
Pages : 136

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Book Description


On the Theory of Set Valued Functions with Application in Approximation Optimization and Control Theory

On the Theory of Set Valued Functions with Application in Approximation Optimization and Control Theory PDF Author: Dimitrios Kandilakis
Publisher:
ISBN:
Category :
Languages : en
Pages : 272

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Book Description


Optimization and Control with Applications

Optimization and Control with Applications PDF Author: Liqun Qi
Publisher: Springer Science & Business Media
ISBN: 9780387242545
Category : Mathematics
Languages : en
Pages : 618

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Book Description
This book contains refereed papers which were presented at the 34th Workshop of the International School of Mathematics "G. Stampacchia,” the International Workshop on Optimization and Control with Applications. The book contains 28 papers that are grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. The specific topics covered in the individual chapters include optimal control, unconstrained and constrained optimization, complementarity and variational inequalities, equilibrium problems, semi-definite programs, semi-infinite programs, matrix functions and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their applications. Audience This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.

Optimization and Optimal Control

Optimization and Optimal Control PDF Author: Altannar Chinchuluun
Publisher: Springer Science & Business Media
ISBN: 0387894969
Category : Mathematics
Languages : en
Pages : 508

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Book Description
Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.

Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions PDF Author: Elimhan N Mahmudov
Publisher: Elsevier
ISBN: 0123884284
Category : Mathematics
Languages : en
Pages : 396

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Book Description
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

Approximation of Set-valued Functions

Approximation of Set-valued Functions PDF Author: Nira Dyn
Publisher:
ISBN: 9781783263028
Category : Mathematics
Languages : en
Pages : 153

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Book Description
This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

Optimization and Its Applications in Control and Data Sciences

Optimization and Its Applications in Control and Data Sciences PDF Author: Boris Goldengorin
Publisher: Springer
ISBN: 3319420569
Category : Mathematics
Languages : en
Pages : 516

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Book Description
This book focuses on recent research in modern optimization and its implications in control and data analysis. This book is a collection of papers from the conference “Optimization and Its Applications in Control and Data Science” dedicated to Professor Boris T. Polyak, which was held in Moscow, Russia on May 13-15, 2015. This book reflects developments in theory and applications rooted by Professor Polyak’s fundamental contributions to constrained and unconstrained optimization, differentiable and nonsmooth functions, control theory and approximation. Each paper focuses on techniques for solving complex optimization problems in different application areas and recent developments in optimization theory and methods. Open problems in optimization, game theory and control theory are included in this collection which will interest engineers and researchers working with efficient algorithms and software for solving optimization problems in market and data analysis. Theoreticians in operations research, applied mathematics, algorithm design, artificial intelligence, machine learning, and software engineering will find this book useful and graduate students will find the state-of-the-art research valuable.

Optimization Theory with Applications

Optimization Theory with Applications PDF Author: Donald A. Pierre
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 640

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Book Description
Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators

Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators PDF Author: Nira Dyn
Publisher: World Scientific
ISBN: 1783263040
Category : Mathematics
Languages : en
Pages : 168

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Book Description
This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

Set Optimization and Applications - The State of the Art

Set Optimization and Applications - The State of the Art PDF Author: Andreas H Hamel
Publisher: Springer
ISBN: 3662486709
Category : Mathematics
Languages : en
Pages : 333

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Book Description
This volume presents five surveys with extensive bibliographies and six original contributions on set optimization and its applications in mathematical finance and game theory. The topics range from more conventional approaches that look for minimal/maximal elements with respect to vector orders or set relations, to the new complete-lattice approach that comprises a coherent solution concept for set optimization problems, along with existence results, duality theorems, optimality conditions, variational inequalities and theoretical foundations for algorithms. Modern approaches to scalarization methods can be found as well as a fundamental contribution to conditional analysis. The theory is tailor-made for financial applications, in particular risk evaluation and [super-]hedging for market models with transaction costs, but it also provides a refreshing new perspective on vector optimization. There is no comparable volume on the market, making the book an invaluable resource for researchers working in vector optimization and multi-criteria decision-making, mathematical finance and economics as well as [set-valued] variational analysis.