Bt. Polyak et Me. Halpern, Robust stability and design of linear discrete-time SISO systems under l(1) uncertainties, IEEE AUTO C, 44(11), 1999, pp. 2076-2080
This correspondence shows how value sets and the zero exclusion principle c
an be used to obtain results on the robust stability and design of controll
ers against a special infinite-dimensional II norm bounded parametric uncer
tainty in both numerator and denominator of scaler discrete-time plants. Th
is parametric uncertainty has properties of both parametric and unstructure
d uncertainty and allows standard H-infinity design tools to be used withou
t conservatism.