Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices
Symbolic Computation
2010-03-17 v1 Dynamical Systems
Abstract
In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions of uncertain parameters which are varying in intervals. we present a method which can check the robust Hurwitz stability of such uncertain systems in finite steps. Examples show the efficiency of our approach.
Keywords
Cite
@article{arxiv.1003.3181,
title = {Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices},
author = {Xiaorong Hou and Junwei Shao},
journal= {arXiv preprint arXiv:1003.3181},
year = {2010}
}
Comments
8 pages.