Generalized S ( C , A , B ) -Pairs for Uncertain Linear Infinite-Dimensional Systems

Abstract

We introduce the concept of generalized $S\left(C,A,B\right)$-pairs which is related to generalized $S\left(A,B\right)$-invariant subspaces and generalized $S\left(C,A\right)$-invariant subspaces for infinite-dimensional systems. As an application the parameter-insensitive disturbance-rejection problem with dynamic compensator is formulated and its solvability conditions are presented. Further, an illustrative example is also examined.