Generalized Nyquist Criterion of Continuous-Time Periodic Systems and its Implementation (II)

—Numerical Computations and Convergence—

Abstract

The paper is divided into two parts. In the second part, we consider the numerical implementation problem of the generalized Nyquist stability criterion of the first part [1] derived by means of the 2-regularized determinant about the harmonic return difference operators of finite-dimensional linear continuous-time periodic systems. Numerical implementation of this generalized Nyquist criterion is developed through the staircase truncation on the harmonic return difference operator. To illustrate the results of the second part, asymptotic stability of the lossy Mathieu differential equation is investigated.