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Date
2007Type
- Conference Paper
ETH Bibliography
yes
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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 nonlinear system described by a polynomial vector field. We show that moments of occupation measures of unstable trajectories are dual feasible solutions providing a natural interpretation of the 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. Show more
Publication status
publishedExternal links
Book title
Proceedings of the 46th IEEE Conference on Decision and ControlPages / Article No.
Publisher
IEEEEvent
Organisational unit
03416 - Morari, Manfred (emeritus)
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ETH Bibliography
yes
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