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Estimation of basins of attraction for uncertain systems with affine and Lipschitz dynamics. (English) Zbl 1047.93043
Summary: This paper is devoted to estimation and numerical approximation of basins of attraction for a class of uncertain systems. We consider systems described by a differential equation depending of a disturbance known by its bounds. By using viability theory tools, we derive lower and upper estimates of basins of attraction. We present numerical simulation results of the viability kernel algorithm to basin of attraction approximation problems.

MSC:
93D20 Asymptotic stability in control theory
34A60 Ordinary differential inclusions
49J53 Set-valued and variational analysis
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