The time-varying gap and coprime factor perturbations (Q1924411)

Developing his previous results in the light of recent contributions of Foias, Georgiou and Smith and of Ober and Skelton, the author establishes connections between the time-varying gap metric and the two-blocks problem and utilizes them to obtain criteria for robust stabilization of linear time-varying discrete systems. Relevant headings of sections: Stabilization and proper representations. Directed gaps and gaps. Stability formulations. The gap and two-block problems. Maximally stabilizing controllers. The gap metric and coprime factor perturbations.