Abstract
Consider a stable linear time-invariant system G(x) with tunable parameters x ϵ Rn, which maps inputs w ϵ L2(Rm) to outputs z ϵ L2(Rp). Our goal is to find a choice of the tunable parameters x* which avoids undesirable responses of the system to past excitations known as system ringing. We address this problem by minimizing the Hankel norm ∥G(x)∥H of G(x), which quantifies the influence of past inputs on future outputs.
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