Modeling and Stabilization of a Flexible Arm with Delayed Input in the Case of a Neutral-Type Delay System

This research investigates a flexible arm system with delayed input in the context of a neutral time delay system. There are two sections to this work. The flexible arm is modeled as a neutral time delay system in the first half, and the stabilization problem is the subject of the second. Therefore, the system stabilizes as a result of LMI development. In the end, the success of the proposed approach was shown by applying of the obtained results for the systems in the simulation results.