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Approximately-finite memory and discrete-time input-output maps

✍ Scribed by Sandberg, Irwin W.

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
101 KB
Volume
28
Category
Article
ISSN
0098-9886

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✦ Synopsis

A body of results is given concerning the character of the response of systems represented by discrete-time approximately-"nite-memory input}output maps G with input and outputs de"ned on +0, 1, 2 ,. Conditions are given under which, for example, the system's output approaches a limit as kPR whenever the input does. Of particular interest are theorems that concern the existence and properties of a certain unique extension of G to a corresponding domain of functions de"ned on all of + 2 , !1, 0, 1, 2 ,. The theorems lead to a general proposition that characterizes the response of a very large class of non-linear systems to asymptotically periodic inputs.

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