Complementarity And Variational Inequalities In Electronics PDF Books

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Complementarity And Variational Inequalities In Electronics

Complementarity And Variational Inequalities In Electronics
Author: Daniel Goeleven
Publisher: Academic Press
ISBN: 0128133902
Size: 35.48 MB
Format: PDF, ePub, Mobi
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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
Complementarity and Variational Inequalities in Electronics
Language: en
Pages: 208
Authors: Daniel Goeleven
Categories: Mathematics
Type: BOOK - Published: 2017-05-18 - Publisher: Academic Press
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
A Variational Approach to Nonsmooth Dynamics
Language: en
Pages: 159
Authors: Samir Adly
Categories: Mathematics
Type: BOOK - Published: 2018-02-19 - Publisher: Springer
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
Operations Research, Engineering, and Cyber Security
Language: en
Pages: 422
Authors: Nicholas J. Daras, Themistocles M. Rassias
Categories: Mathematics
Type: BOOK - Published: 2017-03-14 - Publisher: Springer
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
Dissipative Systems Analysis and Control
Language: en
Pages: 711
Authors: Bernard Brogliato, Rogelio Lozano, Bernhard Maschke, Olav Egeland
Categories: Technology & Engineering
Type: BOOK - Published: 2019-07-03 - Publisher: Springer
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
Nonlinear Analysis and Global Optimization
Language: en
Pages: 486
Authors: Themistocles M. Rassias, Panos M. Pardalos
Categories: Mathematics
Type: BOOK - Published: 2021-03-30 - Publisher: Springer Nature
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
Nonsmooth Mechanics
Language: en
Pages: 628
Authors: Bernard Brogliato
Categories: Technology & Engineering
Type: BOOK - Published: 2016-02-29 - Publisher: Springer
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
Dynamics with Inequalities
Language: en
Pages: 400
Authors: David E. Stewart
Categories: Science
Type: BOOK - Published: 2011-01-01 - Publisher: SIAM
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that
Numerical Methods for Nonsmooth Dynamical Systems
Language: en
Pages: 525
Authors: Vincent Acary, Bernard Brogliato
Categories: Technology & Engineering
Type: BOOK - Published: 2008-01-30 - Publisher: Springer Science & Business Media
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
Fuzzy System and Data Mining
Language: en
Pages: 516
Authors: G. Chen, F. Liu, M. Shojafar
Categories: Computers
Type: BOOK - Published: 2016-04-14 - Publisher: IOS Press
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
Nonsmooth Modeling and Simulation for Switched Circuits
Language: en
Pages: 284
Authors: Vincent Acary, Olivier Bonnefon, Bernard Brogliato
Categories: Technology & Engineering
Type: BOOK - Published: 2010-10-19 - Publisher: Springer Science & Business Media
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