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

F. Camilli, L. Grüne, F. Wirth: Construction of Lyapunov functions on the domain of asymptotic nullcontrollability: theory
in: Proceedings of NOLCOS 2004, Stuttgart, Germany, 2004, 877 - 882

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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.

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