New Results in Trajectory-Based Small-Gain with Application to the Stabilization of a Chemostat
Abstract
New trajectory-based small-gain results are obtained for nonlinear feedback systems under relaxed assumptions. Specifically, during a transient period, the solutions of the feedback system may not satisfy some key inequalities that previous small-gain results usually utilize to prove stability properties. The results allow the application of the small-gain perspective to various systems which satisfy less demanding stability notions than the Input-to-Output Stability property. The robust global feedback stabilization problem of an uncertain time-delayed chemostat model is solved by means of the trajectory-based small-gain results.
Keywords
Cite
@article{arxiv.1002.4489,
title = {New Results in Trajectory-Based Small-Gain with Application to the Stabilization of a Chemostat},
author = {Iasson Karafyllis and Zhong-Ping Jiang},
journal= {arXiv preprint arXiv:1002.4489},
year = {2010}
}
Comments
23 pages, 1 figure. Submitted for possible publication to the International Journal of Robust and Nonlinear Control