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
fDate :
5/1/1970 12:00:00 AM
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;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1970.0200
