Automatic Generation of Lyapunov Functions using Genetic Programming
Abstract
The selection of a suitable Lyapunov function is a critical step in the stability analysis of nonlinear systems. The appropriate choice can lead to the possibility of guaranteeing increased regions of attraction in the vicinity of a desired stable equilibrium point. Typically, its selection is limited to well-known functions and on the intuition of the researcher, which can lead to suboptimal functions. This paper describes the prelimi¬nary results obtained using a novel method to identify Lyapunov functions using genetic programming.
