An Infinite-Time Relaxation Theorem for Differential Inclusions

Details An Infinite-Time Relaxation Theorem for Differential Inclusions An Infinite-Time Relaxation Theorem for Differential Inclusions

2001-05-25

arxiv.org/abs/math/0105214v1

Mathematics

Dynamical Systems

13 pages, 1 figure

Scientific paper

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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