DocumentCode
1418883
Title
Mapping technique for computer-aided investigation of nonlinear-system stability
Author
MacFarlane, A.G.J. ; Munro, N.
Author_Institution
University of Manchester Institute of Science & Technology, Electrical Engineering Department, Manchester, UK
Volume
117
Issue
5
fYear
1970
fDate
5/1/1970 12:00:00 AM
Firstpage
1035
Lastpage
1036
Abstract
A simple method of showing the properties of Lyapunov functions on a video display is described with an illustrative example. A mapping technique is introduced which generates a set of complex numbers ¿ while exploring the state space using a trial Lyapunov function. The loci of these complex numbers are shown on a video display and can be used to determine the stability of nonlinear systems. A simple geometric interpretation of the loci is provided which allows the technique to be used in online computer-aided design studies.
Keywords
Lyapunov methods; computer-aided design; display systems; nonlinear systems; stability;
fLanguage
English
Journal_Title
Electrical Engineers, Proceedings of the Institution of
Publisher
iet
ISSN
0020-3270
Type
jour
DOI
10.1049/piee.1970.0200
Filename
5248839
Link To Document