Stability of zeros of discrete-time multivariable systems with GSHF

This paper is concerned with the stability of zeros of the discrete-time multivariable system composed of a generalized sample hold function (GSHF), a continuous-time plant with the degrees of infinite elementary divisors being two or three, and a sampler in cascade. The properties of the limiting zeros are studied and the conditions for ensuring the stability of the limiting zeros of the discrete-time systems for sufficiently small sampling periods are derived. It is a natural extension of Liang et al.´s result for single-input-single-output systems to multivariable systems.