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On ergodic problem for Hamilton-Jacobi-Isaacs equations

On ergodic problem for Hamilton-Jacobi-Isaacs equations

We study the asymptotic behavior of as , where is the viscosity solution of the following Hamilton-Jacobi-Isaacs equation (infinite horizon case) with We discuss the cases in which the state of the system is required to stay in an n-dimensional torus, called periodic boundary conditions, or in the closure of …