DocumentCode
2007086
Title
Homogeneous Lyapunov functions for polynomial systems: a Tensor product approach
Author
Hajer, Bouzaouache ; Naceur, Benhadj Braiek
Author_Institution
Inst. Superieur des Etudes Technol. en Commun., Ariana
fYear
2007
fDate
May 30 2007-June 1 2007
Firstpage
1911
Lastpage
1915
Abstract
This paper shows that the Kronecker product and the properties of tensoriel algebra are useful tools for non quadratic stability analysis. When using them, sufficient conditions for global asymptotic stability of polynomial systems can be easily derived in terms of LMI feasibility tests for the existence of homogeneous Lyapunov functions of even degree.
Keywords
Lyapunov methods; asymptotic stability; linear matrix inequalities; polynomial matrices; tensors; Kronecker product; asymptotic stability; homogeneous Lyapunov function; linear matrix inequality; non quadratic stability analysis; polynomial system; tensor product approach; tensoriel algebra; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Nonlinear equations; Nonlinear systems; Polynomials; Stability analysis; Sufficient conditions; System testing; Tensile stress; Kronecker product; LMIs; homogeneous Lyapunov function; polynomial systems; stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location
Guangzhou
Print_ISBN
978-1-4244-0818-4
Electronic_ISBN
978-1-4244-0818-4
Type
conf
DOI
10.1109/ICCA.2007.4376694
Filename
4376694
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