Sciweavers

Share
MCS
2008
Springer

On the stability analysis of nonlinear systems using polynomial Lyapunov functions

8 years 10 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn't show that the system isn't stable. So, we must search for other Lyapunov functions. That's why, in the present paper, the construction of polynomial Lyapunov candidate functions is investigated and sufficient conditions for global asymptotic stability of analytical nonlinear systems are proposed to allow computational implementation. The main keys of this work are the description of the nonlinear studied systems by polynomial state equations, the use of an efficient mathematical tool: the Kronecker product; and the non-redundant state formulation. These notations allow algebraic manipulations and make easy the extension of the stability analysis associated to quadratic or homogeneous Laypunov functions to...
Hajer Bouzaouache, Naceur Benhadj Braiek
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where MCS
Authors Hajer Bouzaouache, Naceur Benhadj Braiek
Comments (0)
books