A Theorem of the Alternative for SOS Lyapunov Functions
| Author(s): H. Peyrl, P.A. Parrilo |
Conference/Journal: IEEE Conference on Decision and Control, New Orleans, LA, USA, pp. 1687--1692 |
| Abstract: In this paper duality theory is used to derive a theorem of the alternative for the existence of a sums of squares (SOS) Lyapunov function for a system with a polynomial vector field. We show that moments of occupation measures of unstable trajectories are dual feasible solutions providing a natural interpretation of elements in the dual space. We show that moments corresponding to equilibria, orbits, and unbounded solutions indeed provide a certificate of infeasibility of the SOS Lyapunov problem. Additionally, equilibrium points may be recovered from special dual solutions. | Year: 2007 |
| Type of Publication: (01)Article | |
| Supervisor: | |
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% Autogenerated BibTeX entry
@InProceedings { PeyPar:2007:IFA_2861,
author={H. Peyrl and P.A. Parrilo},
title={{A Theorem of the Alternative for SOS Lyapunov Functions}},
booktitle={IEEE Conference on Decision and Control},
pages={1687--1692},
year={2007},
address={New Orleans, LA, USA},
month=dec,
url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=2861}
} | |
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