Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory

Titelangaben

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory.
In: IFAC Proceedings Volumes. Bd. 37 (2004) Heft 13 . - S. 709-714.
ISSN 1474-6670
DOI: https://doi.org/10.1016/S1474-6670(17)31308-3

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Abstract

In this paper we study the domain of asymptotic nullcontrollability of control systems. It is shown that this domain may be characterized by optimal control problems whose value function is the unique viscosity solution of a suitable first-order PDE. This value function turns out to be a control Lyapunov function. The approach generalizes Zubov's method.