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Accession Number:
AD0773188
Title:
On the Analysis of Feedback Systems with a Multipower Open Loop Chain
Corporate Author:
MICHIGAN UNIV ANN ARBOR SYSTEMS ENGINEERING LAB
Report Date:
1973-10-01
Abstract:
The report analyses the input-output behavior of feedback systems whose open loop map can be modeled by an operator, K, defined on a Hilbert space. In particular, attention is focused on the case where K is multipower, bounded, and strictly causal. The analysis uses Hilbert resolution space, the causality structure of K and contraction mapping techniques. The main objective is to clarify questions of the following type 1 Given an input, y, is the output, x, well defined. Existence, Uniqueness 2 If x is well defined, what can be said about the mapping y to x. Causality, Continuity 3 Given y how can x be computed. Computational method. To illustrate the difficulty associated with questions of this type, it is shown that a system input with a finite energy may generate an infinite energy, possibly with a finite escape time, feedback system output. Modified author abstract
Descriptive Note:
Interim rept.
Supplementary Note:
DOI: 10.21236/AD0773188
Pages:
0043
Distribution Statement:
Approved for public release; distribution is unlimited.
Contract Number:
AF-AFOSR-2427-73
File Size:
1.68MB
