Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627413 | Applied Mathematics and Computation | 2014 | 10 Pages |
Abstract
An algorithm is presented here, for checking the global asymptotic stability of polynomial dynamical systems with parametric coefficients. It is based on the possibility of writing the polynomials, as sums of products of first degree polynomials, with artificial parametrical coefficients. By giving to all the parameters certain values, we ensure the positiveness of some quantities, constructing thereby proper Lyapunov functions, which guarantee the stability of the equilibrium point.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stelios Kotsios,