Exponential stability analysis of integral delay systems with multiple exponential kernels

This paper studies stability analysis of a class of integral delay systems (IDSs) with multiple exponential kernels. Some coupled linear matrix inequalities based sufficient stability conditions are firstly obtained with the help of the Lyapunov-Krasovskii functional approach. The obtained results include several existing ones as special cases if the corresponding IDSs are simplified. Characteristic equations based necessary and sufficient conditions are then established for a special class of IDSs. Three numerical examples show the effectiveness of the proposed approaches.