@inproceedings{5f7603f7a879449b95a62b92af2be4c8,
title = "Polynomial level-set methods for nonlinear dynamical systems analysis",
abstract = "In this paper, we present a method for computing the domain of attraction for non-linear dynamical systems. We propose a level-set method where sets are represented as sublevel sets of polynomials. The problem of flowing these sets under the advection map of a dynamical system is converted to a semidefinite program, which we use to compute the coeficients of the polynomials. We further address the related problems of constraining the degree of the polynomials and the connectedness of the associated sets.",
keywords = "Domain of attraction, Level-set methods, Semi-definite programming",
author = "Wang, {Ta Chung} and Sanjay Lall and Matthew West",
year = "2005",
language = "English (US)",
series = "43rd Annual Allerton Conference on Communication, Control and Computing 2005",
publisher = "University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering",
pages = "640--649",
booktitle = "43rd Annual Allerton Conference on Communication, Control and Computing 2005",
note = "43rd Annual Allerton Conference on Communication, Control and Computing 2005 ; Conference date: 28-09-2005 Through 30-09-2005",
}