A Corollary for Nonsmooth Systems
Optimization and Control
2013-08-30 v2
Abstract
In this note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are presented for nonautonomous systems described by nonlinear differential equations with discontinuous right-hand sides. Lyapunov-based analysis methods are developed using differential inclusions to achieve asymptotic convergence when the candidate Lyapunov derivative is upper bounded by a negative semi-definite function.
Cite
@article{arxiv.1205.6765,
title = {A Corollary for Nonsmooth Systems},
author = {N. Fischer and R. Kamalapurkar and W. E. Dixon},
journal= {arXiv preprint arXiv:1205.6765},
year = {2013}
}