TY - JOUR

T1 - Robust Stability Analysis for Integral Delay Systems: A Complete Type Functional Approach

AU - Егоров, Алексей Валерьевич

PY - 2023

Y1 - 2023

N2 - In this article, 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.

AB - In this article, 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.

U2 - 10.1109/TAC.2023.3314655

DO - 10.1109/TAC.2023.3314655

M3 - Article

VL - 69

SP - 2583

EP - 2590

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

ER -