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Published May 2009 | Published
Journal Article Open

Robust Stability Analysis of Nonlinear Hybrid Systems

Abstract

We present a methodology for robust stability analysis of nonlinear hybrid systems, through the algorithmic construction of polynomial and piecewise polynomial Lyapunov-like functions using convex optimization and in particular the sum of squares decomposition of multivariate polynomials. Several improvements compared to previous approaches are discussed, such as treating in a unified way polynomial switching surfaces and robust stability analysis for nonlinear hybrid systems.

Additional Information

© Copyright 2009 IEEE. Manuscript received July 02, 2007; revised March 21, 2008. Current version published May 13, 2009. This work was supported in part by the Engineering and Physical Sciences Research Council Grant EP/E05708X/1. Recommended by Guest Editors G. Chesi and D. Henrion.

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Created:
August 21, 2023
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October 18, 2023