Complementarity And Variational Inequalities In Electronics

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Complementarity and Variational Inequalities in Electronics

Daniel Goeleven
Complementarity and Variational Inequalities in Electronics Book PDF

Author : Daniel Goeleven
Publisher : Academic Press
Page : 210 pages
File Size : 42,8 Mb
Release : 2017-05-18
Category : Mathematics
ISBN : 9780128133903

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Complementarity and Variational Inequalities in Electronics by Daniel Goeleven Pdf

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

Francisco Facchinei,Jong-Shi Pang
Finite Dimensional Variational Inequalities and Complementarity Problems Book PDF

Author : Francisco Facchinei,Jong-Shi Pang
Publisher : Springer Science & Business Media
Page : 693 pages
File Size : 47,5 Mb
Release : 2007-06-14
Category : Mathematics
ISBN : 9780387218144

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Finite-Dimensional Variational Inequalities and Complementarity Problems by Francisco Facchinei,Jong-Shi Pang Pdf

This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of 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

Nicholas J. Daras,Themistocles M. Rassias
Operations Research Engineering and Cyber Security Book PDF

Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer
Page : 422 pages
File Size : 54,9 Mb
Release : 2017-03-14
Category : Mathematics
ISBN : 9783319515007

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Operations Research, Engineering, and Cyber Security by Nicholas J. Daras,Themistocles M. Rassias Pdf

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.

Dissipative Systems Analysis and Control

Bernard Brogliato,Rogelio Lozano,Bernhard Maschke,Olav Egeland
Dissipative Systems Analysis and Control Book PDF

Author : Bernard Brogliato,Rogelio Lozano,Bernhard Maschke,Olav Egeland
Publisher : Springer
Page : 720 pages
File Size : 48,7 Mb
Release : 2019-07-03
Category : Technology & Engineering
ISBN : 9783030194208

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Dissipative Systems Analysis and Control by Bernard Brogliato,Rogelio Lozano,Bernhard Maschke,Olav Egeland Pdf

This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.

A Variational Approach to Nonsmooth Dynamics

Samir Adly
A Variational Approach to Nonsmooth Dynamics Book PDF

Author : Samir Adly
Publisher : Springer
Page : 159 pages
File Size : 55,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9783319686585

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A Variational Approach to Nonsmooth Dynamics by Samir Adly Pdf

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

Francesco Vasca,Luigi Iannelli
Dynamics and Control of Switched Electronic Systems Book PDF

Author : Francesco Vasca,Luigi Iannelli
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 48,5 Mb
Release : 2012-03-30
Category : Technology & Engineering
ISBN : 9781447128847

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Dynamics and Control of Switched Electronic Systems by Francesco Vasca,Luigi Iannelli Pdf

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.

Continuous Optimization and Variational Inequalities

Anurag Jayswal,Tadeusz Antczak
Continuous Optimization and Variational Inequalities Book PDF

Author : Anurag Jayswal,Tadeusz Antczak
Publisher : CRC Press
Page : 309 pages
File Size : 42,8 Mb
Release : 2022-09-13
Category : Technology & Engineering
ISBN : 9781000648980

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Continuous Optimization and Variational Inequalities by Anurag Jayswal,Tadeusz Antczak Pdf

The proposed book provides a comprehensive coverage of theory and methods in the areas of continuous optimization and variational inequality. It describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems. The emphasis is made on revealing generic properties of these problems that allow creation of efficient solution methods. Salient Features The book presents a deep, wide-ranging introduction to the theory of the optimal control of processes governed by optimization techniques and variational inequality Several solution methods are provided which will help the reader to develop various optimization tools for real-life problems which can be modeled by optimization techniques involving linear and nonlinear functions. The book focuses on most recent contributions in the nonlinear phenomena, which can appear in various areas of human activities. This book also presents relevant mathematics clearly and simply to help solve real life problems in diverse fields such as mechanical engineering, management, control behavior, traffic signal, industry, etc. This book is aimed primarily at advanced undergraduates and graduate students pursuing computer engineering and electrical engineering courses. Researchers, academicians and industry people will also find this book useful.

Nonlinear Analysis and Global Optimization

Themistocles M. Rassias,Panos M. Pardalos
Nonlinear Analysis and Global Optimization Book PDF

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer Nature
Page : 484 pages
File Size : 42,7 Mb
Release : 2021-02-26
Category : Mathematics
ISBN : 9783030617325

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Nonlinear Analysis and Global Optimization by Themistocles M. Rassias,Panos M. Pardalos Pdf

This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Nonsmooth Mechanics

Bernard Brogliato
Nonsmooth Mechanics Book PDF

Author : Bernard Brogliato
Publisher : Springer
Page : 628 pages
File Size : 48,9 Mb
Release : 2016-02-29
Category : Technology & Engineering
ISBN : 9783319286648

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Nonsmooth Mechanics by Bernard Brogliato Pdf

Now in its third edition, this standard reference is a comprehensive treatment of nonsmooth mechanical systems refocused to give more prominence to issues connected with control and modelling. It covers Lagrangian and Newton–Euler systems, detailing mathematical tools such as convex analysis and complementarity theory. The ways in which nonsmooth mechanics influence and are influenced by well-posedness analysis, numerical analysis and simulation, modelling and control are explained. Contact/impact laws, stability theory and trajectory-tracking control are given detailed exposition connected by a mathematical framework formed from complementarity systems and measure-differential inclusions. Links are established with electrical circuits with set-valued nonsmooth elements as well as with other nonsmooth dynamical systems like impulsive and piecewise linear systems. Nonsmooth Mechanics (third edition) retains the topical structure familiar from its predecessors but has been substantially rewritten, edited and updated to account for the significant body of results that have emerged in the twenty-first century—including developments in: the existence and uniqueness of solutions; impact models; extension of the Lagrange–Dirichlet theorem and trajectory tracking; and well-posedness of contact complementarity problems with and without friction. Many figures (both new and redrawn to improve the clarity of the presentation) and examples are used to illustrate the theoretical developments. Material introducing the mathematics of nonsmooth mechanics has been improved to reflect the broad range of applications interest that has developed since publication of the second edition. The detail of some mathematical essentials is provided in four appendices. With its improved bibliography of over 1,300 references and wide-ranging coverage, Nonsmooth Mechanics (third edition) is sure to be an invaluable resource for researchers and postgraduates studying the control of mechanical systems, robotics, granular matter and relevant fields of applied mathematics. “The book’s two best features, in my view are its detailed survey of the literature... and its detailed presentation of many examples illustrating both the techniques and their limitations... For readers interested in the field, this book will serve as an excellent introductory survey.” Andrew Lewis in Automatica “It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.” Panagiotis D. Panagiotopoulos in Mathematical Reviews “The presentation is excellent in combining rigorous mathematics with a great number of examples... allowing the reader to understand the basic concepts.” Hans Troger in Mathematical Abstracts “/i>

Nonsmooth Modeling and Simulation for Switched Circuits

Vincent Acary,Olivier Bonnefon,Bernard Brogliato
Nonsmooth Modeling and Simulation for Switched Circuits Book PDF

Author : Vincent Acary,Olivier Bonnefon,Bernard Brogliato
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 47,5 Mb
Release : 2010-10-19
Category : Technology & Engineering
ISBN : 9789048196814

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Nonsmooth Modeling and Simulation for Switched Circuits by Vincent Acary,Olivier Bonnefon,Bernard Brogliato Pdf

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.

Numerical Methods for Nonsmooth Dynamical Systems

Vincent Acary,Bernard Brogliato
Numerical Methods for Nonsmooth Dynamical Systems Book PDF

Author : Vincent Acary,Bernard Brogliato
Publisher : Springer Science & Business Media
Page : 525 pages
File Size : 45,8 Mb
Release : 2008-01-30
Category : Technology & Engineering
ISBN : 9783540753926

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Numerical Methods for Nonsmooth Dynamical Systems by Vincent Acary,Bernard Brogliato Pdf

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.

System Modeling and Optimization

Dietmar Hömberg,Fredi Tröltzsch
System Modeling and Optimization Book PDF

Author : Dietmar Hömberg,Fredi Tröltzsch
Publisher : Springer
Page : 568 pages
File Size : 54,6 Mb
Release : 2013-02-20
Category : Computers
ISBN : 9783642360626

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System Modeling and Optimization by Dietmar Hömberg,Fredi Tröltzsch Pdf

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.

Fuzzy System and Data Mining

G. Chen,F. Liu,M. Shojafar
Fuzzy System and Data Mining Book PDF

Author : G. Chen,F. Liu,M. Shojafar
Publisher : IOS Press
Page : 516 pages
File Size : 42,6 Mb
Release : 2016-04-14
Category : COMPUTERS
ISBN : 9781614996194

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Fuzzy System and Data Mining by G. Chen,F. Liu,M. Shojafar Pdf

Fuzzy logic is widely used in machine control. The term ‘fuzzy’ refers to the fact that the logic involved can deal with concepts that cannot be expressed as either ‘true’ or ‘false’, but rather as ‘partially true’. Fuzzy set theory is very suitable for modeling the uncertain duration in process simulation, as well as defining the fuzzy goals and fuzzy constraints of decision-making. It has many applications in industry, engineering and social sciences. This book presents the proceedings of the 2015 International Conference on Fuzzy Systems and Data Mining (FSDM2015), held in Shanghai, China, in December 2015. The application domain covers geography, biology, economics, medicine, the energy industry, social science, logistics, transport, industrial and production engineering, and computer science. The papers presented at the conference focus on topics such as system diagnosis, rule induction, process simulation/control, and decision-making. They include papers on solving practical problems with intelligent algorithms; statistical analysis; classification and clustering; and association rule learning. They also reflect the frontier in data mining research and address the challenges posed to data analytics research by the increasingly large datasets yielded by many application domains, together with new types of unstructured data. The book provides an overview of the ways in which fuzzy theory and data mining principles are applied in various fields, and will be of interest to all those who work in either the theory or practice of fuzzy systems and data mining.

Variational and Quasi-Variational Inequalities in Mechanics

Alexander S. Kravchuk,Pekka J. Neittaanmäki
Variational and Quasi Variational Inequalities in Mechanics Book PDF

Author : Alexander S. Kravchuk,Pekka J. Neittaanmäki
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 54,6 Mb
Release : 2007-09-04
Category : Technology & Engineering
ISBN : 9781402063770

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Variational and Quasi-Variational Inequalities in Mechanics by Alexander S. Kravchuk,Pekka J. Neittaanmäki Pdf

The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.

Numerical Analysis and Optimization

Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Numerical Analysis and Optimization Book PDF

Author : Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Publisher : Springer
Page : 304 pages
File Size : 44,8 Mb
Release : 2018-05-31
Category : Mathematics
ISBN : 9783319900261

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama Pdf

This volume contains 13 selected keynote papers presented at the Fourth International Conference on Numerical Analysis and Optimization. Held every three years at Sultan Qaboos University in Muscat, Oman, this conference highlights novel and advanced applications of recent research in numerical analysis and optimization. Each peer-reviewed chapter featured in this book reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Any graduate student or researched wishing to know the latest research in the field will be interested in this volume. This book is dedicated to the late Professors Mike JD Powell and Roger Fletcher, who were the pioneers and leading figures in the mathematics of nonlinear optimization.