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.

Causal polynomial approximations of input-output maps on Hilbert spaces

GERMANI, Alfredo
1981

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/12107
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