Article ID Journal Published Year Pages File Type
756691 Systems & Control Letters 2007 8 Pages PDF
Abstract

This paper proposes a new approach to estimate the domain of attraction of equilibrium points of polynomial systems. The idea consists of estimating the domain of attraction via the union of a continuous family of Lyapunov estimates rather than via one Lyapunov estimate only as done in existing methods. This family is obtained through a convex LMI optimization by deriving a stability condition which takes simultaneously into account all considered Lyapunov functions. Moreover, inner approximations of the union of this family via a set with simple shape are also derived.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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