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
fDate :
May 30 2007-June 1 2007
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;
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
DOI :
10.1109/ICCA.2007.4376694
