Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:C2L-B
Session:
Number:C2L-B2
On the Construction of Piecewise Quadratic Lyapunov Functions
Yuzo Ohta, Hisashi Yokoyama,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
Piecewise quadratic Lyapunov functions (PQLFs) are proposed by Johansson and Rantzer in 1997. They applied it for stability analysis of piecewise linear systems. It is very effective for some of piecewise linear systems. However, it seems that PQLFs are not so effective for stability analysis of linear uncertain systems or nonlinear uncertain systems with polytopic uncertainties since PQLFs coincide with ordinal QLFs for these systems. In this paper, we propose a method to increase the freedom included in PQLFs for getting less conservative stability results for uncertain systems.