Exponential stability analysis of integral delay systems with multiple exponential kernels

Abstract 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.

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