Frequency domain stability criteria--Part II

In Part I of this paper a detailed analysis was made of the type of information Popov\´s Theorem gives about the stability of a closed-loop system containing a single instantaneous nonlinearity, and a new stability theorem, useful when the nonlinearity is monotone, was given. In this part a general approach for generating stability criteria is described and several specific results are obtained. In particular, an improved criterion valid when is an odd function is given, and criteria valid when is a power law nonlinearity are also developed. Several examples are included to illustrate the theory.