Existence of Stabilizing Controller with Lumped-Delay Terms for Linear Delay Systems

Key Points

• A stabilizing controller can successfully manage the stabilization of a linear delay system, ensuring reliable performance.
• The existence of such a controller is confirmed, with necessary conditions outlined for system stabilization.
• A numerical algorithm is proposed for implementing the controller design, allowing for practical applications in managing delays.
• These findings indicate potential advancements in control theory, especially for systems exhibiting delay characteristics.