Approximation and Optimization of Discrete and Differential Inclusions Book

Approximation and Optimization of Discrete and Differential Inclusions


  • Author : Elimhan N Mahmudov
  • Publisher : Elsevier
  • Release Date : 2011-08-25
  • Genre: Mathematics
  • Pages : 396
  • ISBN 10 : 9780123884336

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Approximation and Optimization of Discrete and Differential Inclusions 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

Approximation and Optimization of Discrete and Differential Inclusions Book

Approximation and Optimization of Discrete and Differential Inclusions


  • Author : Elimhan N Mahmudov
  • Publisher : Elsevier
  • Release Date : 2011-08-25
  • Genre: Mathematics
  • Pages : 396
  • ISBN 10 : 9780123884282

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Approximation and Optimization of Discrete and Differential Inclusions 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

Functional Calculus Book

Functional Calculus


  • Author : Kamal Shah
  • Publisher : BoD – Books on Demand
  • Release Date : 2020-06-17
  • Genre: Mathematics
  • Pages : 204
  • ISBN 10 : 9781838800079

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Functional Calculus Excerpt :

The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.

Advances in Computational Intelligence  Part IV Book

Advances in Computational Intelligence Part IV


  • Author : Salvatore Greco
  • Publisher : Springer
  • Release Date : 2012-07-23
  • Genre: Computers
  • Pages : 692
  • ISBN 10 : 9783642317248

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Advances in Computational Intelligence Part IV Excerpt :

These four volumes (CCIS 297, 298, 299, 300) constitute the proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, held in Catania, Italy, in July 2012. The 258 revised full papers presented together with six invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy machine learning and on-line modeling; computing with words and decision making; soft computing in computer vision; rough sets and complex data analysis: theory and applications; intelligent databases and information system; information fusion systems; philosophical and methodological aspects of soft computing; basic issues in rough sets; 40th anniversary of the measures of fuziness; SPS11 uncertainty in profiling systems and applications; handling uncertainty with copulas; formal methods to deal with uncertainty of many-valued events; linguistic summarization and description of data; fuzzy implications: theory and applications; sensing and data mining for teaching and learning; theory and applications of intuitionistic fuzzy sets; approximate aspects of data mining and database analytics; fuzzy numbers and their applications; information processing and management of uncertainty in knowledge-based systems; aggregation functions; imprecise probabilities; probabilistic graphical models with imprecision: theory and applications; belief function theory: basics and/or applications; fuzzy uncertainty in economics and business; new trends in De Finetti's approach; fuzzy measures and integrals; multi criteria decision making; uncertainty in privacy and security; uncertainty in the spirit of Pietro Benvenuti; coopetition; game theory; probabilistic approach.

Nonlinear Analysis and Optimization Book

Nonlinear Analysis and Optimization


  • Author : Boris S. Mordukhovich
  • Publisher : American Mathematical Soc.
  • Release Date : 2016-02-26
  • Genre: Game theory, economics, social and behavioral sciences
  • Pages : 320
  • ISBN 10 : 9781470417369

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Nonlinear Analysis and Optimization Excerpt :

This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16-19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology. The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for p -moduli, multiple Fourier transforms and trigonometric series in line with Hardy's variation, finite-parameter feedback control for stabilizing damped nonlinear wave equations, implicit Euler approximation and optimization of one-sided Lipschitz differential inclusions, Bolza variational problems with extended-valued integrands on large intervals, first order singular variational problem with nonconvex cost, gradient and extragradient methods for the elasticity imaging inverse problem, discrete approximations of the entropy functional for probability measures on the plane, optimal irrigation scheduling for wheat production, existence of a fixed point of nonexpansive mappings in uniformly convex Banach spaces, strong convergence properties of m-accretive bounded operators, the Reich-Simons convex analytic inequality, nonlinear input-output equilibrium, differential linear-quadratic Nash games with mixed state-control constraints, and excessive revenue models of competitive markets.

Topological Structure of the Solution Set for Evolution Inclusions Book

Topological Structure of the Solution Set for Evolution Inclusions


  • Author : Yong Zhou
  • Publisher : Springer
  • Release Date : 2017-10-31
  • Genre: Mathematics
  • Pages : 269
  • ISBN 10 : 9789811066566

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Topological Structure of the Solution Set for Evolution Inclusions Excerpt :

This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. In addition, the book addresses many of the basic techniques and results recently developed in connection with this theory, including the structure of solution sets for evolution inclusions with m-dissipative operators; quasi-autonomous and non-autonomous evolution inclusions and control systems; evolution inclusions with the Hille-Yosida operator; functional evolution inclusions; impulsive evolution inclusions; and stochastic evolution inclusions. Several applications of evolution inclusions and control systems are also discussed in detail. Based on extensive research work conducted by the authors and other experts over the past four years, the information presented is cutting-edge and comprehensive. As such, the book fills an important gap in the body of literature on the structure of evolution inclusions and its applications.

System Modeling and Optimization Book

System Modeling and Optimization


  • Author : Adam Korytowski
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-15
  • Genre: Technology & Engineering
  • Pages : 515
  • ISBN 10 : 9783642048012

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System Modeling and Optimization Excerpt :

rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).

Variational Analysis and Generalized Differentiation II Book

Variational Analysis and Generalized Differentiation II


  • Author : Boris S. Mordukhovich
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-03-02
  • Genre: Mathematics
  • Pages : 610
  • ISBN 10 : 9783540312468

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Variational Analysis and Generalized Differentiation II 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.

Modern Methods of Optimization Book

Modern Methods of Optimization


  • Author : Werner Krabs
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • Genre: Business & Economics
  • Pages : 352
  • ISBN 10 : 9783662028513

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Modern Methods of Optimization Excerpt :

This volume contains the proceedings of the summer school "Modern Methods of Optimization", held at the Schlof3 Thurnau of the University of Bayreuth, October 1-6, 1990. Like other branches of applied mathematics the area of optimization is undergoing a rapid development since the beginning of the computer age. Optimizaiton methods are of increasing importance for both, science and industry. The aim of the summer school was to present state-of-the-art knowledge by inviting 12 specialists from Op timization (and related fields) to present their areas of activity in the form of survey talks. This volume contains 10 of these presentations in slightly extended form. Most lectures started from an undergraduate level and outlinad the developments up to the latest scientifique achievements. This enabled the audience, consisting of about 45 students and young researchers, to get an excellent overview of the latest trends in Optimization as w~ll as a grasp of the breadth of its potential applications. Equally important to the success of the summer school was the "nonmeasurable" part of the activities inherent in such a summer school. Here the inspiring atmosphere of a place like Thurnau helped to establish numerous contacts between "teachers" and "students". The summer school was organized by the Universitii. t Bayreuth together with the Technische Hochschule Darmstadt and was generously sponsored by the Volkswagen stiftung and the Universitii. tsverein Bayreuth. Their interest in the meeting and their support is hereby gratefully acknowledged.

Large Scale Scientific Computing Book

Large Scale Scientific Computing


  • Author : Ivan Lirkov
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-02-14
  • Genre: Computers
  • Pages : 701
  • ISBN 10 : 9783540319948

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Large Scale Scientific Computing Excerpt :

This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control Book

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control


  • Author : Boris S. Mordukhovich
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 246
  • ISBN 10 : 9781461384892

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Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control Excerpt :

This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.

Trends in Mathematical Optimization Book

Trends in Mathematical Optimization


  • Author : K.H. Hoffmann
  • Publisher : Birkhäuser
  • Release Date : 2013-03-07
  • Genre: Science
  • Pages : 392
  • ISBN 10 : 9783034892971

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Trends in Mathematical Optimization 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.

System Modeling and Optimization Book

System Modeling and Optimization


  • Author : Dietmar Hömberg
  • Publisher : Springer
  • Release Date : 2013-02-20
  • Genre: Computers
  • Pages : 568
  • ISBN 10 : 9783642360626

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System Modeling and Optimization Excerpt :

This book is a collection of thoroughly refereed papers presented at the 25th IFIP TC 7 Conference on System Modeling and Optimization, held in Dresden, Germany, in September 2011. The 55 revised papers were carefully selected from numerous submissions. They are organized in the following topical sections: control of distributed parameter systems; stochastic optimization and control; stabilization, feedback, and model predictive control; flow control; shape and structural optimization; and applications and control of lumped parameter systems.

Approximation of Set Valued Functions Book

Approximation of Set Valued Functions


  • Author : Nira Dyn
  • Publisher : World Scientific
  • Release Date : 2014-10-30
  • Genre: Mathematics
  • Pages : 168
  • ISBN 10 : 9781783263042

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Approximation of Set Valued Functions Excerpt :

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. Contents:Scientific Background:On Functions with Values in Metric SpacesOn SetsOn Set-Valued Functions (SVFs)Approximation of SVFs with Images in ℝn:Methods Based on Canonical RepresentationsMethods Based on Minkowski Convex CombinationsMethods Based on the Metric AverageMethods Based on Metric Linear CombinationsMethods Based on Metric SelectionsApproximation of SVFs with Images in ℝ:SVFs with Images in ℝ Multi-Segmental and Topological RepresentationsMethods Based on Topological Representation Readership: Researchers and graduate students in the fields of approximation theory, set-valued analysis, dynamical systems, control and game theory, optimization and geometric modeling. Key Features:This is the only book on the subject of approximation of set-valued functionsIt presents the pioneering work on the approximation of set-valued functions with general (not necessarily convex) sets as valuesThe first author is an internationally known expert in the field of Approximation Theory, the second author is an expert in numerical set-valued and non-smooth analy