DocumentCode
1182929
Title
Chaotic motion in nonlinear feedback systems
Author
Baillieul, J. ; Brockett, Roger W. ; Washburn, Robert B.
Volume
27
Issue
11
fYear
1980
fDate
11/1/1980 12:00:00 AM
Firstpage
990
Lastpage
997
Abstract
New criteria are found which imply the existence of chaos in 
. These differ significantly from criteria previously reported in the mathematics literature, and in fact our methods apply to a class of systems which do not satisfy the hypotheses of the usual theorems on chaos in . The results are stated in such a way as to preserve the flavor of many well-known frequency-domain stability techniques. The results provide easily verifiable criteria for the existence of chaos in systems which are of dimension greater than one.
. These differ significantly from criteria previously reported in the mathematics literature, and in fact our methods apply to a class of systems which do not satisfy the hypotheses of the usual theorems on chaos in . The results are stated in such a way as to preserve the flavor of many well-known frequency-domain stability techniques. The results provide easily verifiable criteria for the existence of chaos in systems which are of dimension greater than one.Keywords
Feedback systems; General nonlinear theory; Nonlinear systems; Stability; Chaos; Difference equations; Displays; Filters; Mathematics; Pulse modulation; Space vector pulse width modulation; State feedback; System testing; Voltage control;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1980.1084739
Filename
1084739
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