Numerical stabilization at singular points

Titelangaben

Grüne, Lars:
Numerical stabilization at singular points.
Bayreuth , 1998

Volltext

	Format: PDF Name: gruene_num_stabil_mtns_1998.pdf Version: Veröffentlichte Version Verfügbar mit der Lizenz Creative Commons BY 4.0: Namensnennung
	Download (230kB)

Abstract

In this paper we apply recent results on the numerical stabilization of semilinear systems to the stabilization problem for nonlinear systems at singular points. Moreover, we give a new convergence proof for the resulting closed loop system to be exponentially stable based on a suitable Lyapunov function. This is derived from the numerical approximation of the value function of a discounted optimal control problem minimizing the Lyapunov exponents of the semilinear system.