Construction of Lyapunov functions for nonlinear planar systems by linear programming
The authors extend recent results devoted to the construction of piecewise affine Lyapunov functions for planar dynamical systems with an exponentially stable equilibrium. They describe an algorithm based on a linear programming problem whose solution defines a Lyapunov function. It is proved that the algorithm always succeeds in constructing a Lyapunov function for the mentioned systems. The domain of the Lyapunov function is only limited by the region of attraction of the equilibrium.
scientific article; zbMATH DE number 6005704
scientific article