Delay-dependent input-output stability conditions for non-autonomous neutral type differential equations in a Banach space

Abstract

In a Banach space we consider a class of linear non-autonomous neutral type differential equations with several delays. For the considered equations we derive explicit delay-dependent input-output stability conditions. Applications to neutral type integro-differential equations are also discussed.

Keywords

• banach space
• non-autonomous neutral type differential equation
• input-output stability
• integro-differential equations