An infinite-time relaxation theorem for differential inclusions |
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| Authors: | Brian Ingalls Eduardo D. Sontag Yuan Wang |
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| Affiliation: | Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101 ; Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-quad 2101 ; Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431-0991 |
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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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