학술논문

Robust Stability Analysis for Integral Delay Systems: A Complete Type Functional Approach
Document Type
Periodical
Source
IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 69(4):2583-2590 Apr, 2024
Subject
Signal Processing and Analysis
Delays
Integral equations
Mathematical models
Kernel
Robust stability
Delay systems
Uncertainty
Biological example
delay systems
integral equations
robust stability
Language
ISSN
0018-9286
1558-2523
2334-3303
Abstract
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.