Piecewise constant Lyapunov functions for the construction of robust regions of attraction

摘要

This paper deals with the estimation of a robust domain of attraction for nonlinear systems with structured uncertainties. For this goal a piecewise constant parameter-dependent Lyapunov function is used. This type of a Lyapunov function is based on dividing the uncertainty bounding set into a finite number of partitions, yielding a common Lyapnov function for each partition. A numerical example is included.