An infinite-time relaxation theorem for differential inclusions
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- by Brian Ingalls, Eduardo D. Sontag and Yuan Wang PDF
- Proc. Amer. Math. Soc. 131 (2003), 487-499 Request permission
Abstract:
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wažewski 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.References
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Additional Information
- Brian Ingalls
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101
- Email: ingalls@math.rutgers.edu
- Eduardo D. Sontag
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903- 2101
- Email: sontag@math.rutgers.edu
- Yuan Wang
- Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431-0991
- Email: ywang@math.fau.edu
- Received by editor(s): May 28, 2001
- Received by editor(s) in revised form: September 19, 2001
- Published electronically: May 22, 2002
- Additional Notes: The second author was supported in part by US Air Force Grant F49620-98-1-0242.
The third author’s research was supported in part by NSF Grant DMS-9457826. - Communicated by: Carmen C. Chicone
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 487-499
- MSC (2000): Primary 34A60; Secondary 34D23
- DOI: https://doi.org/10.1090/S0002-9939-02-06539-5
- MathSciNet review: 1933340