Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments

摘要

The problem of determining domains of attraction is one of the most important when it comes to investigating nonlinear dynamical systems. In this contribution motivated by published theoretical results we suggest algorithms based on the mathematical theory of moments to solve the primal and the dual optimization problems related to determining domains of attraction of polynomial dynamical systems. We illustrate the algorithms with three examples.