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An Infinite-Time Relaxation Theorem for Differential Inclusions

Brian Ingalls·Eduardo D. Sontag·Yuan Wang
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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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Brian Ingalls, Eduardo D. Sontag, Yuan Wang. 2001-05-25. An Infinite-Time Relaxation Theorem for Differential Inclusions. https://arxiv.org/abs/math/0105214

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