An infinite-time relaxation theorem for differential inclusions

Brian Ingalls; Eduardo D. Sontag; Yuan Wang

doi:10.1090/S0002-9939-02-06539-5

An infinite-time relaxation theorem for differential inclusions

Brian Ingalls, Eduardo D. Sontag, Yuan Wang

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

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.

Original language	English (US)
Pages (from-to)	487-499
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-02-06539-5
State	Published - Feb 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-02-06539-5

Cite this

@article{3155753d97fe4b4798616a7e80f7c460,

title = "An infinite-time relaxation theorem for differential inclusions",

abstract = "The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wa{\v z}ewski 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.",

author = "Brian Ingalls and Sontag, {Eduardo D.} and Yuan Wang",

year = "2003",

month = feb,

doi = "10.1090/S0002-9939-02-06539-5",

language = "English (US)",

volume = "131",

pages = "487--499",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - An infinite-time relaxation theorem for differential inclusions

AU - Ingalls, Brian

AU - Sontag, Eduardo D.

AU - Wang, Yuan

PY - 2003/2

Y1 - 2003/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037323168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037323168&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-02-06539-5

DO - 10.1090/S0002-9939-02-06539-5

M3 - Article

AN - SCOPUS:0037323168

SN - 0002-9939

VL - 131

SP - 487

EP - 499

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

An infinite-time relaxation theorem for differential inclusions

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this