On the weighted sensitivity minimization problem for delay systems

Abstract

We consider the H ∞-optimal sensitivity problem for delay systems. In particular, we consider computation of μ:= inf {| W-φq| ∞ : q ϵ H ∞(j R )} where W(s) is any function in RH ∞(j R ), and φ in H ∞(j R ) is any inner function. We derive a new explicit solution in the pure delay case where φ = e −sh, h > 0.