An Infinite-Time Relaxation Theorem for Differential Inclusions
动力系统
2007-05-23 v1 最优化与控制
摘要
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.
引用
@article{arxiv.math/0105214,
title = {An Infinite-Time Relaxation Theorem for Differential Inclusions},
author = {Brian Ingalls and Eduardo D. Sontag and Yuan Wang},
journal= {arXiv preprint arXiv:math/0105214},
year = {2007}
}
备注
13 pages, 1 figure