Analysis of switched and hybrid systems - Beyond piecewise quadratic methods

Conference item

This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including the possibility of treating nonlinear vector fields and/or switching surfaces and parametric robustness analysis in a unified way.

Authors: Prajna, S; Papachristodoulou, A; AAC

• Publication status: Published
• Host title: PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6
• Volume: 4
• Pages: 2779-2784
• Publication date: 2003-01-01
• ISSN: 0743-1619
• ISBN: 0780378962