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Notes on uniform approximation of time-varying systems on finite time intervals

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1 Author(s)
Sandberg, I.W. ; Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

It is shown that the elements G of a large class of causal input-output maps can be uniformly approximated arbitrarily well using a certain structure if and only if G is uniformly continuous. For the case considered the system inputs and outputs are defined on a finite interval [O,tf]. Our approximating structure involves certain functions that can be chosen in different ways. For the special case in which these functions are taken to be certain polynomial functions, the input-output map of our structure is a generalized Volterra series

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:45 ,  Issue: 8 )