Preservation of exponential stability for linear non-autonomous functional differential systems

Keywords: Systems with time delays Distributed delay Exponential stability Perturbations a b s t r a c t We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on Bohl–Perron type theorems.