In the proceedings of the American Control Conference, pp. 784-789, 2009 (A. Packard).
@INPROCEEDINGS{5160727,
title={Local robust performance analysis for nonlinear dynamical systems},
author={Topcu, U. and Packard, A.},
booktitle={American Control Conference, 2009. ACC ’09.},
year={2009},
month={June},
volume={},
number={},
pages={784-789},
abstract={We propose a computational method for local robust performance analysis of nonlinear systems with polynomial dynamics. Specifically, we characterize upper bounds for local L 2 rarr L 2 input-output gains using polynomial Lyapunov storage functions satisfying certain dissipation inequalities and compute safe approximations for these upper bounds via sum-of-squares programming problems. We consider both bounded parametric uncertainties and bounded uncertainties due to unmodeled dynamics.},
keywords={Lyapunov methods, nonlinear dynamical systems, polynomial approximation, robust control, uncertain systemsbounded parametric uncertainty, local robust performance analysis, nonlinear dynamical system, polynomial Lyapunov function, polynomial dynamics, polynomial storage function, sum-of-squares programming, upper bound approximation},
doi={10.1109ACC.2009.5160727},
ISSN={0743-1619},