Differential games and Zubov's method

L. Grüne, O.S.Serea: Differential games and Zubov's method
SIAM Journal on Control and Optimization 49 (6), 2349 - 2377, 2011

DOI: 10.1137/100787829
Download as PDF


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

Chair -

|  University of Bayreuth -