DocumentCode
425081
Title
Nonlinear stability via sum of squares programming
Author
Parrilo, Pablo A.
Author_Institution
Autom. Control Lab., Swiss Fed. Inst. of Technol., Zurich, Switzerland
Volume
4
fYear
2004
fDate
June 30 2004-July 2 2004
Abstract
In this talk we present a tutorial introduction to sum of squares (SOS) techniques which can be written as semidefinite programs (SDP) or quadratic form in a set of monomials with the corresponding matrix being positive semidefinite. The possibility of reformulating conditions for a polynomial to be a sum of squares as an SDP is very useful, since we can use the SOS property in a control context as a convenient sufficient condition for polynomial nonnegativity.This approach allows one to search over parametrized polynomial or rational Lyapunov functions for systems with dynamic polynomial functions.
Keywords
Lyapunov methods; nonlinear control systems; polynomial matrices; quadratic programming; rational functions; stability; dynamic polynomial functions; nonlinear stability; polynomial nonnegativity; positive semidefinite matrix; quadratic programming; rational Lyapunov functions; semidefinite programs; sufficient condition; sum of square programming; sum of square techniques;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2004. Proceedings of the 2004
Conference_Location
Boston, MA, USA
ISSN
0743-1619
Print_ISBN
0-7803-8335-4
Type
conf
Filename
1384413
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