Stability and Robust Stability of Integral Delay Systems With Multiple Exponential Kernels

This paper studies stability analysis of a class of integral delay systems with multiple exponential kernels. By using the multiple Jensen inequalities established recently and the Lyapunov-Krasovskii functional approach, some new sufficient stability conditions expressed by linear matrix inequalities (LMIs) are obtained. It is shown that the obtained stability conditions are always less conservative than the existing ones. Robust stability of this class of integral delay systems with parameter uncertainties is also investigated and some sufficient conditions expressed by LMIs are obtained. The effectiveness of the proposed methods is illustrated by some numerical examples.