TY - GEN
T1 - Polynomial level-set methods for nonlinear dynamical systems analysis
AU - Wang, Ta Chung
AU - Lall, Sanjay
AU - West, Matthew
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84962076535
T3 - 43rd Annual Allerton Conference on Communication, Control and Computing 2005
SP - 640
EP - 649
BT - 43rd Annual Allerton Conference on Communication, Control and Computing 2005
PB - University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
T2 - 43rd Annual Allerton Conference on Communication, Control and Computing 2005
Y2 - 28 September 2005 through 30 September 2005
ER -