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Center for Nonlinear Studies |
Zubov’s method (1964) is a classical method for computing Lyapunov functions and domains of attraction for differential equations with a locally asymptotically stable equilibrium. In recent years, Zubov’s method has been generalized into various directions. Firstly, we provide a further generalization of Zubov’s equation, namely to differential games in which two (deterministic) players influence the differential equation. Secondly, we aim at characterizing domains of attraction for controlled piecewise deterministic processes using an occupational measure formulation and Zubov’s approach.
Host: Thomas Leitner