Complementarity and Variational Inequalities in Electronics (Mathematical Analysis and its Applications)

Goeleven, Daniel

Academic Press Inc（2017/06発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 208 p.
• 言語 ENG
• 商品コード 9780128133897
• DDC分類 519

Full 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.

Contents

1. Introduction2. On the use of complementarity problem in electronics3. On the use of variational inequalities in electronics4. The variational inequality model in electronics5. A variational inequality theory6. Non-regular dynamic systems