A spectral condition for asymptotic controllability and stabilization at singular points

Titelangaben

Grüne, Lars:
A spectral condition for asymptotic controllability and stabilization at singular points.
In: Proceedings of the 36th IEEE Conference on Decision and Control. Volume 5. - Piscataway, NJ : IEEE , 1997 . - S. 4431-4435
ISBN 0-7803-4187-2
DOI: https://doi.org/10.1109/CDC.1997.649648

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Abstract

In this paper we present a spectral condition for the exponential stabilization of nonlinear control systems with constrained control range at singular points. The spectral approach in particular allows to formulate an equivalence result between exponential null controllability and exponential stabilization by means of a discrete feedback law. The key tool used is a discounted optimal control problem for the corresponding projected semilinear system, which also admits a numerical solution.