Abstract
We present an approach to the problem of finding an L ∞ approximant of the infinite-dimensional system describing the diffusion of heat in a wall. We show that this system can be regarded as a delay system with Laplace variable √s. We are able to get results, established in Zwart et al. (1988), about partial fraction expansion for delay systems, achieved by some adjustment to the specificities of our particular case. The determination of an L ∞ approximant is realised in two steps, using the optimal Hankel-norm approximation.
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