Numerical stabilization at singular points
L. Grüne:
Numerical stabilization at singular points
in:
Proceedings of the Mathematical Theory of Networks and Systems (MTNS98),
Padova,
1998,
633 - 636
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.