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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."

Keyword : Coprime representation, nest algebra, stabilization, time-varying system.

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