|Coprime Representations and Feedback Stabilization of Discrete Timevarying Linear Systems
Liu Liu* and Yufeng Lu
International Journal of Control, Automation, and Systems, vol. 17, no. 2, pp.425-434, 2019
Abstract : "Within the framework of nest algebra, this paper deals with the stabilization problems of causal, discrete
time, time-varying linear systems based on the coprime representations. It is shown that a linear system is stabilizable
if and only if it admits a left coprime representation or a right coprime representation. The parametrization
of stabilizing controllers, strong stabilizability and simultaneous stabilizability criteria are characterized in terms of
left coprime representations alone, or analogously right coprime representations alone."
Coprime representation, nest algebra, stabilization, time-varying system.