Published May 2009
| Version Published
Journal Article
Open
Robust Stability Analysis of Nonlinear Hybrid Systems
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1.
University of Oxford
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2.
California Institute of Technology
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.Attached Files
Published - Papachristodoulou2009p4263Ieee_T_Automat_Contr.pdf
Files
Papachristodoulou2009p4263Ieee_T_Automat_Contr.pdf
Additional details
Identifiers
- Eprint ID
- 15222
- Resolver ID
- CaltechAUTHORS:20090821-101859299
Funding
- Engineering and Physical Sciences Research Council
- EP/E05708X/1
Dates
- Created
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2009-09-30Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field