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Optimisation of the Zubov and Ingwerson methods for constructing Lyapunov functions

Authors :
Hewit, J.R.
Storey, C.
Source :
Electronics Letters; May 1967, Vol. 3 Issue: 5 p211-213, 3p
Publication Year :
1967

Abstract

The Zubov and Ingwerson procedures for constructing Lyapunov functions depend upon an initial choice of some function of the state variables. A direct search procedure is described for obtaining the optimum function, and hence the Lyapunov function of an arbitrary order which gives the best estimate of the region of asymptotic stability. The method is illustrated by an example.

Details

Language :
English
ISSN :
00135194 and 1350911X
Volume :
3
Issue :
5
Database :
Supplemental Index
Journal :
Electronics Letters
Publication Type :
Periodical
Accession number :
ejs10094415