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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2011

Differential games and Zubov's method

Résumé

In this paper we provide generalizations of Zubov's equation to differential games without Isaacs' condition. We show that both generalizations of Zubov's equation (which we call min-max and max-min Zubov equation, respectively) possess unique viscosity solutions which characterize the respective controllability domains. As a consequence, we show that under the usual Isaacs condition the respective controllability domains as well as the local controllability assumptions coincide.
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Dates et versions

inria-00636104 , version 1 (26-10-2011)

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Lars Grüne, Oana Serea. Differential games and Zubov's method. SIAM Journal on Control and Optimization, 2011, 49 (9), pp.2349-2377. ⟨10.1137/100787829⟩. ⟨inria-00636104⟩
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