@inproceedings{f78b7621225b4fcc8ebd643b348b3a4b,
title = "Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property",
abstract = "We present an approximate optimization approach to the computation of stabilizing feedback laws using a partitioning of the state space and a corresponding approximation of the optimal value function of the problem. By including the discretization errors into the optimal control formulation we are able to compute approximate optimal value functions which preserve the Lyapunov function property and corresponding optimally stabilizing feedback laws which are constant on each partition element. The actual computation uses efficient graph theoretic algorithms.",
author = "Lars Gr{\"u}ne and Oliver Junge",
year = "2007",
doi = "10.1109/CDC.2007.4434428",
language = "English",
isbn = "1424414989",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "702--707",
booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",
note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",
}