Complementarity and variational inequalities in electronics 9780128133897

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Автор: Goeleven, Daniel (professor Of Mathematics, University Of La Reunion, France)
Название: Complementarity and variational inequalities in electronics
ISBN: 9780128133897
Издательство: Elsevier Science
Классификация:

Электроэнергетика

Прикладная математика

ISBN-10: 0128133899
Обложка/Формат: Paperback
Страницы: 208
Вес: 0.35 кг.
Дата издания: 31.05.2017
Серия: Mathematical analysis and its applications
Язык: English
Размер: 153 x 229 x 13
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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, well-known for their applications in mechanics and economics, but which 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. It demonstrates how to compute optimized output signal relevant to potentially superior applications. It also 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, Goeleven, Daniel (professor Of Mathematics, University Of La Reunion, France)