# Computing control Lyapunov functions via a Zubov type algorithm

L. Grüne, F. Wirth:
**Computing control Lyapunov functions via a Zubov type algorithm**

in:
*Proceedings of the 39th IEEE Conference on Decision and Control,*
*
*
Sydney, Australia,
2000,
2129 - 2134

DOI:
10.1109/CDC.2000.914109

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## Abstract:

Under the assumption of local asymptotic nullcontrollability we define the domain of asymptotic nullcontrollability. On this set we define a control Lyapunov function via an optimal control problem. It is shown that this function can be characterized as the unique viscosity solution of a partial differential equation which can be interpreted as a generalization of Zubov's equation.