@inproceedings{30cb2cb9121c4bacb59a8373252af4c3,
title = "Nonlinear stabilization via control-Lyapunov measure",
abstract = "This paper is concerned with computational methods for Lyapunov-based control design of an attractor set of a nonlinear dynamical system. Based upon a stochastic representation of deterministic dynamics, a Lyapunov measure is used for these purposes. This paper poses and solves the co-design problem of jointly obtaining the control Lyapunov measure and a controller. The computational framework is based upon a set-oriented numerical approach. Using this approach, the codesign problem leads to a finite number of linear inequalities whose solutions define the feasible set of stabilizing controllers. We provide a proof of existence for a stochastic version of such a controller while the deterministic restriction is posed as the solution of a related integer programming problem. Mathematical programming techniques may be employed to obtain such controllers. Finally, an example is provided to illustrate the ideas.",
author = "Umesh Vaidya and Mehta, {Prashant G.} and Shanbhag, {Uday V.}",
year = "2007",
doi = "10.1109/CDC.2007.4434956",
language = "English (US)",
isbn = "1424414989",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1722--1727",
booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",
address = "United States",
note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",
}