An Infinite-Time Relaxation Theorem for Differential Inclusions
Brian Ingalls, Eduardo D. Sontag, Yuan Wang
Abstract
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wazewski Relaxation Theorem, which provides approximations of trajectories of a relaxed inclusion on finite intervals. A complementary result is presented, which provides approximations on infinite intervals, but does not guarantee that the approximation and the reference trajectory satisfy the same initial condition.
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