AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

Abstract

The purpose of this paper is to show that the ideas and techniques of the classical
methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to
derive simple algorithm to verify stability. This is enhanced by evaluating the argument of
the characteristic equation of a linear system in the neighbourhood of the origin of the
complex plane along the imaginary axis