On exponential stability of integral delay systems

This paper deals with exponential stability of some classes of integral delay systems with a prescribed decay rate. By carefully exploring the literature on this topic, a delay decomposition approach is established to reduce the conservatism in the existing sufficient conditions by constructing new Lyapunov-Krasovskii functionals. It is proven that the proposed sufficient conditions are always less conservative than the existing ones. Numerical examples illustrate the effectiveness of the proposed approaches.