Complementarity And Variational Inequalities In Electronics by Daniel Goeleven

Complementarity And Variational Inequalities In Electronics

byDaniel Goeleven

Paperback | May 31, 2017

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Complementarity and Variational Inequalities in Electronicsevaluates 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

About The Author

Daniel Goeleven graduated in applied mathematical engineering, Facultes polytechniques, Universie Catholique de Louvain, UCL, Belgium, in 1989 and received the Ph. D degree in mathematics from the Facultes Universitaires de Namur, Belgium, in 1993. He was an FNRS researcher for two years and he held an Alexander von Humboldt postdoctor...

Details & Specs

Title:Complementarity And Variational Inequalities In ElectronicsFormat:PaperbackDimensions:208 pages, 8.75 × 6.35 × 0.68 inPublished:May 31, 2017Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128133899

ISBN - 13:9780128133897

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Table of Contents

1. Introduction 2. On the use of complementarity problem in electronics 3. On the use of variational inequalities in electronics 4. The variational inequality model in electronics 5. A variational inequality theory 6. Non-regular dynamic systems