@inproceedings{1c8dc838619d469489dfe92e8dbe76f8,
title = "On convexity in stabilization of nonlinear systems",
abstract = "A stability criterion for nonlinear systems, derived by the first author (2000), can be viewed as a dual to Lyapunov's second theorem. The criterion is stated in terms of a function which can be interpreted as the stationary density of a substance that is generated all over the state space and flows along the system trajectories towards the equilibrium. The new criterion has a remarkable convexity property, which in this paper is used for controller synthesis via convex optimization. Numerical methods for verification of positivity of multivariate polynomials are used",
keywords = "stability criteria, polynomials, optimisation, nonlinear control systems, Lyapunov methods, control system synthesis",
author = "Anders Rantzer and Pablo Parrilo",
year = "2000",
doi = "10.1109/CDC.2000.914264",
language = "English",
isbn = "0-7803-6638-7",
volume = "3",
publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",
pages = "2942--2945",
booktitle = "Proceedings of the 39th IEEE Conference on Decision and Control, 2000.",
address = "United States",
}