Abstract
Necessary and sufficient conditions are given for the existence of “paracompact realizations” of nonlinear analytic input-output maps when these are defined for positive time and when the set of control values is finite. (This work is a sequel to that of Jakubczyk and Gauthier and Bornard.) Finally, we underline, via an example, the difficulty of this problem in the case of infinitely many control values.
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Celle, F., Gauthier, J.P. Realizations of nonlinear analytic input-output maps. Math. Systems Theory 19, 227–237 (1986). https://doi.org/10.1007/BF01704915
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DOI: https://doi.org/10.1007/BF01704915