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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An infinite-time relaxation theorem for differential inclusions


Authors: Brian Ingalls, Eduardo D. Sontag and Yuan Wang
Journal: Proc. Amer. Math. Soc. 131 (2003), 487-499
MSC (2000): Primary 34A60; Secondary 34D23
Published electronically: May 22, 2002
MathSciNet review: 1933340
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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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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

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06539-5
PII: S 0002-9939(02)06539-5
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
Article copyright: © Copyright 2002 American Mathematical Society



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