On the limiting zeros of discrete-time multivariable systems

This paper studies the asymptotic properties of the limiting zeros of discrete-time system corresponding to continuous-time multivariable plants with the degrees of infinite elementary divisors two or three, i.e., mu₁ = middotmiddotmiddot = mu_m-k = 2 and mu_m-k+1 = middotmiddotmiddot = mu_m = 3 (0 les k les m). The linear approximate expressions with respect to the asymptotic behavior of the limiting zeros are given. The stability conditions of the limiting zeros of discrete-time systems for sufficiently small sampling periods are derived. It is a generalization of the previous result.