DocumentCode
1099587
Title
Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming
Author
Tan, Weehong ; Packard, Andrew
Author_Institution
Dept. of Mech. Eng., Univ. of California at Berkeley, Berkeley, CA
Volume
53
Issue
2
fYear
2008
fDate
3/1/2008 12:00:00 AM
Firstpage
565
Lastpage
571
Abstract
We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well as composite Lyapunov functions comprised of pointwise maximums of polynomial functions. Results for several examples from the literature are presented using the proposed methods and the PENBMI solver.
Keywords
Lyapunov methods; bilinear systems; mathematical programming; polynomials; stability; composite polynomial Lyapunov functions; dynamical systems; polynomial vector fields; region-of-attraction; stability region analysis; sum-of-squares programming; Aircraft; Dynamic programming; Ellipsoids; Functional programming; Lyapunov method; Nonlinear systems; Polynomials; Power system analysis computing; Power system stability; Stability analysis; Local stability analysis; Lyapunov analysis; region-of-attraction;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.914221
Filename
4471858
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