%0 Journal Article %T An Infinite-Time Relaxation Theorem for Differential Inclusions %A Brian Ingalls %A Eduardo D. Sontag %A Yuan Wang %J Mathematics %D 2001 %I arXiv %X 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. %U http://arxiv.org/abs/math/0105214v1