Computing control Lyapunov functions via a Zubov type algorithm

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Grüne, Lars ; Wirth, Fabian:
Computing control Lyapunov functions via a Zubov type algorithm.
Bayreuth , 2000

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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.