Robust Stability Analysis for Integral Delay Systems: A Complete Type Functional Approach

We analyze the robust stability of integral delay systems with a single delay. We first derive a general result based on the complete type functional that depends on the Lyapunov delay matrix of the stable nominal system. We apply it directly to the study of integral equations with uncertain kernel and uncertain delay. The result is also helpful in analyzing nonlinear integral equations and computing exponential estimates of the solutions.