The "freezing" method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
|Number of pages||12|
|Journal||ESAIM - Control, Optimisation and Calculus of Variations|
|State||Published - 1 Jul 2012|
- Generalized Bohl-Perron principle
- Linear retarded systems