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

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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.

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