Abstract

In this paper we study stability radii for implicit systems of linear difference equations. Both the cases when perturbations appear in either of two coefficient matrices are considered. Computable formulas of the complex stability radii are given. Beside some immediate conclusions concerning differences between explicit and implicit systems, a slight difference between the cases of differential and difference equations is also pointed out. In addition, we show an asymptotic relation between the stability radius for an implicit system of differential equations and the corresponding one for its discretized system obtained by the implicit Euler formula