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A numerical method for the stability analysis of quasi-polynomial vector fields

✍ Scribed by I.M. Gléria; A. Figueiredo; T.M. Rocha Filho

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
134 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper shows the su cient conditions for the existence of a Lyapunov function in the class of quasi-polynomial dynamical systems. We focus on the cases where the system's parameters are numerically speciÿed. A numerical algorithm to analyze this problem is presented, which involves the resolution of a linear matrix inequality (LMI). This LMI is collapsed to a linear programming problem. From the numerical viewpoint, this computational method is very useful to search for su cient conditions for the stability of non-linear systems of ODEs. The results of this paper greatly enlarge the scope of applications of a method previously presented by the authors.

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