STABILITY OF NONLINEAR CIRCUITS WITH PERIODIC INPUTS,
Abstract
A new method is presented by which the stability of nonlinear circuits containing bounded periodic sources can be determined. By stability we mean that the steady state output is unique and periodic with the same period as the input and all transients decay to this unique steady state solution. It is assumed that the first and second derivatives of the nonlinear function exist and are continuous within a certain allowable operating range of the nonlinear element. The first derivative should be positive at the bias point (not always necessary). A sufficient condition for the stability of the above circuit is given in terms of a maximum allowable input amplitude. However, it is shown that, given a certain upper bound on the input amplitude, the requirement that all transients decay to this unique steady state solution is too stringent and results in many computational problems, therefore, a small perturbation approach is adopted which results in fewer computations and less stringent conditions on the input amplitude. Experimental results indicate that this new approach is much better than previous results. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1966
- Accession Number
- AD0642500
Entities
People
- T. N. Trick
Organizations
- University of Illinois Urbana–Champaign