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.
Published in:
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Date of Conference: May 30 2007-June 1 2007