Title :
Nonlinear stability via sum of squares programming
Author :
Parrilo, Pablo A.
Author_Institution :
Autom. Control Lab., Swiss Fed. Inst. of Technol., Zurich, Switzerland
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;
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-8335-4
