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Complementarity And Variational Inequalities In Electronics

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Complementarity and Variational Inequalities in Electronics

Complementarity and Variational Inequalities in Electronics Book
Author : Daniel Goeleven
Publisher : Academic Press
Release : 2017-05-18
ISBN : 0128133902
Language : En, Es, Fr & De

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Book Description :

Complementarity and Variational Inequalities in Electronics evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems which are well-known for their applications in mechanics and economics, but rarely target electrical applications. The book uses these tools to review the qualitative properties of devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers. Users will find demonstrations on how to compute optimized output signal relevant to potentially superior applications. In addition, the book describes how to determine the stationary points of dynamical circuits and to determine the corresponding Lyapunov stability and attractivity properties, topics of major importance for further dynamical analysis and control. Hemivariational inequalities are also covered in some depth relevant to application in thyristor devices. Reviews the main mathematical models applicable to the study of electrical networks involving diodes and transistors Focuses on theoretical existence and uniqueness of a solution, stability of stationary solutions, and invariance properties Provides realistic complementarity and variational problems to illustrate theoretical results Evaluates applications of the theory across many devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers Details both fully developed mathematical proofs and common models used in electronics Provides a comprehensive literature review, including thousands of relevant references

Finite Dimensional Variational Inequalities and Complementarity Problems

Finite Dimensional Variational Inequalities and Complementarity Problems Book
Author : Francisco Facchinei,Jong-Shi Pang
Publisher : Springer Science & Business Media
Release : 2007-06-04
ISBN : 0387218157
Language : En, Es, Fr & De

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Book Description :

This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Operations Research Engineering and Cyber Security

Operations Research  Engineering  and Cyber Security Book
Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer
Release : 2017-03-14
ISBN : 3319515004
Language : En, Es, Fr & De

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Book Description :

Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. /divGraduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.

A Variational Approach to Nonsmooth Dynamics

A Variational Approach to Nonsmooth Dynamics Book
Author : Samir Adly
Publisher : Springer
Release : 2018-02-19
ISBN : 3319686585
Language : En, Es, Fr & De

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Book Description :

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis. With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.

Dynamics and Control of Switched Electronic Systems

Dynamics and Control of Switched Electronic Systems Book
Author : Francesco Vasca,Luigi Iannelli
Publisher : Springer Science & Business Media
Release : 2012-03-30
ISBN : 1447128842
Language : En, Es, Fr & De

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Book Description :

The increased efficiency and quality constraints imposed on electrical energy systems have inspired a renewed research interest in the study of formal approaches to the analysis and control of power electronics converters. Switched systems represent a useful framework for modeling these converters and the peculiarities of their operating conditions and control goals justify the specific classification of “switched electronic systems”. Indeed, idealized switched models of power converters introduce problems not commonly encountered when analyzing generic switched models or non-switched electrical networks. In that sense the analysis of switched electronic systems represents a source for new ideas and benchmarks for switched and hybrid systems generally. Dynamics and Control of Switched Electronic Systems draws on the expertise of an international group of expert contributors to give an overview of recent advances in the modeling, simulation and control of switched electronic systems. The reader is provided with a well-organized source of references and a mathematically-based report of the state of the art in analysis and design techniques for switched power converters. Intuitive language, realistic illustrative examples and numerical simulations help the reader to come to grips with the rigorous presentation of many promising directions of research such as: converter topologies and modulation techniques; continuous-time, discrete-time and hybrid models; modern control strategies for power converters; and challenges in numerical simulation. The guidance and information imparted in this text will be appreciated by engineers, and applied mathematicians working on system and circuit theory, control systems development, and electronic and energy conversion systems design.

Nonsmooth Modeling and Simulation for Switched Circuits

Nonsmooth Modeling and Simulation for Switched Circuits Book
Author : Vincent Acary,Olivier Bonnefon,Bernard Brogliato
Publisher : Springer Science & Business Media
Release : 2010-10-19
ISBN : 9789048196814
Language : En, Es, Fr & De

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Book Description :

Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) approach, using piecewise-linear and multivalued models of electronic devices like diodes, transistors, switches. Numerous examples (ranging from introductory academic circuits to various types of power converters) are analyzed and many simulation results obtained with the INRIA open-source SICONOS software package are presented. Comparisons with SPICE and hybrid methods demonstrate the power of the NSDS approach. Nonsmooth Modeling and Simulation for Switched Circuits is intended to researchers and engineers in the field of circuits simulation and design, but may also attract applied mathematicians interested by the numerical analysis for nonsmooth dynamical systems, as well as researchers from Systems and Control.

System Modeling and Optimization

System Modeling and Optimization Book
Author : Dietmar Hömberg,Fredi Tröltzsch
Publisher : Springer
Release : 2013-02-20
ISBN : 3642360629
Language : En, Es, Fr & De

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Book Description :

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.

Numerical Methods for Nonsmooth Dynamical Systems

Numerical Methods for Nonsmooth Dynamical Systems Book
Author : Vincent Acary,Bernard Brogliato
Publisher : Springer Science & Business Media
Release : 2008-01-30
ISBN : 9783540753926
Language : En, Es, Fr & De

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Book Description :

This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.

Optimization and Control with Applications

Optimization and Control with Applications Book
Author : Liqun Qi,Kok Lay Teo,Xiaoqi Yang,Xiao Qi Yang
Publisher : Springer Science & Business Media
Release : 2005-03-04
ISBN : 9780387242545
Language : En, Es, Fr & De

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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.

Bulletin

Bulletin Book
Author : Institute of Mathematics and Its Applications
Publisher :
Release : 1979
ISBN :
Language : En, Es, Fr & De

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Book Description :

Annual Number

Annual Number Book
Author : National Academy of Sciences, India
Publisher :
Release : 1993
ISBN :
Language : En, Es, Fr & De

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Book Description :

Energy Research Abstracts

Energy Research Abstracts Book
Author : N.A
Publisher :
Release : 1990
ISBN :
Language : En, Es, Fr & De

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Book Description :

Includes all works deriving from DOE, other related government-sponsored information and foreign nonnuclear information.

TIMS ORSA Bulletin

TIMS ORSA Bulletin Book
Author : Institute of Management Sciences
Publisher :
Release : 1992
ISBN :
Language : En, Es, Fr & De

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Book Description :

Complementarity Modeling in Energy Markets

Complementarity Modeling in Energy Markets Book
Author : Steven A. Gabriel,Antonio J. Conejo,J. David Fuller,Benjamin F. Hobbs,Carlos Ruiz
Publisher : Springer Science & Business Media
Release : 2012-07-20
ISBN : 1441961232
Language : En, Es, Fr & De

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Book Description :

This addition to the ISOR series introduces complementarity models in a straightforward and approachable manner and uses them to carry out an in-depth analysis of energy markets, including formulation issues and solution techniques. In a nutshell, complementarity models generalize: a. optimization problems via their Karush-Kuhn-Tucker conditions b. on-cooperative games in which each player may be solving a separate but related optimization problem with potentially overall system constraints (e.g., market-clearing conditions) c. conomic and engineering problems that aren’t specifically derived from optimization problems (e.g., spatial price equilibria) d. roblems in which both primal and dual variables (prices) appear in the original formulation (e.g., The National Energy Modeling System (NEMS) or its precursor, PIES). As such, complementarity models are a very general and flexible modeling format. A natural question is why concentrate on energy markets for this complementarity approach? s it turns out, energy or other markets that have game theoretic aspects are best modeled by complementarity problems. The reason is that the traditional perfect competition approach no longer applies due to deregulation and restructuring of these markets and thus the corresponding optimization problems may no longer hold. Also, in some instances it is important in the original model formulation to involve both primal variables (e.g., production) as well as dual variables (e.g., market prices) for public and private sector energy planning. Traditional optimization problems can not directly handle this mixing of primal and dual variables but complementarity models can and this makes them all that more effective for decision-makers.