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March 29, 2026International Journal of Robust and Nonlinear Control0 citations

Robust Stability of Time Varying Algebraic‐Differential Equations With Distributed Delay

NHNguyễn Thu HàThuongmai University PQPham Van QuocVietnam National University, Hanoi

Key Points

The aim is to explore the stability of time-varying differential-algebraic equations that include distributed delay.
Investigated the solvability of linear algebraic-differential equations.
Utilized the Lyapunov-Krasovskii functional to analyze stability conditions.
Established sufficient conditions for stability and asymptotic stability.
Proved solvability of the linear equations examined.
Defined effective conditions for ensuring stability in systems with distributed delays.

Abstract

ABSTRACT This paper considers the stability of time‐varying differential‐algebraic equations with distributed delay. First, we address the solvability of linear equations. Then, using the Lyapunov‐Krasovskii functional, we establish sufficient conditions for the stability and asymptotic stability of such systems.

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