Robust Stabilizability of Normalized Coprime Factors: The Infinite Dimensional Case

摘要

The problem of robustly stabilizing a linear system subject to H(sub infinity)-bounded perturbations in the numerator and the denominator of its normalized left co-prime factorizations is considered for a class of infinite-dimensional systems. This class has possibly unbounded, finite-rank input and output operators which includes many delay and distributed systems. The optimal stability margin is expressed in terms of the solutions of the control and filter algebraic Riccati equations.