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

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.