Within the framework of nest algebra, this paper deals with the stabilization problems of causal, discretetime, time-varying linear systems based on the coprime representations. It is shown that a linear system is stabilizableif and only if it admits a left coprime representation or a right coprime representation. The parametrizationof stabilizing controllers, strong stabilizability and simultaneous stabilizability criteria are characterized in terms ofleft coprime representations alone, or analogously right coprime representations alone.
Within the framework of nest algebra, this paper deals with the stabilization problems of causal, discretetime, time-varying linear systems based on the coprime representations. It is shown that a linear system is stabilizableif and only if it admits a left coprime representation or a right coprime representation. The parametrizationof stabilizing controllers, strong stabilizability and simultaneous stabilizability criteria are characterized in terms ofleft coprime representations alone, or analogously right coprime representations alone.