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Estimating the region of attraction of dynamical systems using numerical simulation data

Journal: Mekhanika tverdogo tela (Vol.41, No. 1)

Publication Date:

Authors : ;

Page : 141-148

Keywords : autonomous dynamical systems; Lyapunov functions; region of attraction;

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Abstract

The paper deals with the problem of choosing a Lyapunov function to obtain an estimate of the region of attraction for an autonomous dynamical system. The choice criteria are formulated using numerical simulation data. The problem is then reduced to ensuring feasibility of a system of linear inequalities.

Last modified: 2013-01-05 11:25:09