Abstract
In this paper the existence of a polynomial approximation of input-output maps for distributed systems is proved. The result is achieved for a class of mappings uniformly continuous with respect to a suitable topology on bounded sets of input space. The causality structure is preserved in the approximating polynomial. As an example of the theory, the distributed linear perturbed system is considered.
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This work was supported by CNR (National Research Council).
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Bertuzzi, A., Gandolfi, A. & Germani, A. Causal polynomial approximation for input-output maps on Hilbert spaces. Math. Systems Theory 14, 339–352 (1981). https://doi.org/10.1007/BF01752405
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DOI: https://doi.org/10.1007/BF01752405