An Infinite-Time Relaxation Theorem for Differential Inclusions

Authors:

BIBrian Ingalls
Brian Ingalls
ESEduardo D. Sontag
Eduardo D. Sontag
YWYuan Wang
Yuan Wang

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25 May 2001

preprint
Published by arXiv in arXiv

DOI:10.48550/arXiv.math/0105214

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.

Keywords

DIFFERENTIAL INCLUSIONS
PROVIDES APPROXIMATIONS
FUNDAMENTAL RELAXATION
RELAXATION THEOREM
RELAXATION RESULT
TIME RELAXATION
INFINITE TIME
INCLUSIONS
TRAJECTORY

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Version 1, 2001-05-25, ArXiv

This publication has 2 references indexed in Scilit:

Introduction: Set-Valued Analysis in Control Theory
Set-Valued Analysis, 2000
On characterizations of the input-to-state stability property
Systems & Control Letters, 1995