Advanced Modeling and Optimization

Abstract for Paper 1 of Volume 3, Number 2, 2001, pp. 1-5


On construction of the asymptotic stability region on the plane


Ilya I. Dikin
Olga M. Popova
Energy Systems Institute SB RAS,
Lermontova 130, 664033 Irkutsk,
Russia
E­mail: idikin@isem.sei.irk.ru
E-mail: pom@isem.sei.irk.ru

Abstract

Mathematical programming and computer graphics are used to construct the attraction region of the dynamic system on the plane.
The statements of the direct Liapunov method are applied. Study approach is illustrated on an example.