Then we define passivity in terms of the universally encountered physical quantities time and energy, and show that causality is a consequence of linearity and passivity. We first introduce the concepts of portwise linearity and time invariance. The purpose of this chapter is to introduce many fundamental concepts used in the study of linear active networks. In order to understand fully the network properties and limitations of solid-state devices and to be able to cope with the applications of the new devices yet to come, it has become increasingly necessary to emphasize the fundamentals of active network theory that will transcend the advent of new devices and design tools. Moreover, the emerging field of integrated circuit technology threatens to push these relatively recent inventions into obsolescence.

Presently available solid-state devices such as the transistor, the tunnel diode, the Zener diode, and the varactor diode have already replaced the old vacuum tube in most practical network applications. Over the past two decades, we have witnessed a rapid development of solid-state technology with its apparently unending proliferation of new devices.

Readership: Electrical and electronic engineers, applied mathematicians.

Topological Analysis of Active Networks.

State-Space Analysis and Feedback Theory.

The work is illustrated by a large number of carefully chosen and well-prepared examples. Thus basic introductory material has been included. In selecting the level of presentation, considerable attention has been given to the fact that many readers may be encountering some of these topics for the first time. The book provides under one cover a unified, comprehensive, and up-to-date coverage of these recent developments and their practical engineering applications.

The guiding light throughout has been to extract the essence of the theory and to discuss those topics that are of fundamental importance and that will transcend the advent of new devices and design tools. Active Network Analysis gives a comprehensive treatment of the fundamentals of the theory of active networks and its applications to feedback amplifiers.

Network analysis definition in computer