A Global Control Strategy to Remove Slow Delay Conditions for Delayed Systems with Complicated Polynomial Terms. (18th April 2023)

• Record Type: Journal Article
• Authors: Xue, Lingrong; Zhang, Qianqian; Liu, Zhen-Guo
• Other Names: Hamdy Mohamed Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2023(2023)
• Publication Date: 2023-04-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2023/8950806
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Nonlinear systems constantly suffer from time-varying delays, which cover slow delays and nonslow delays. The existing results were used to impose slow delay conditions and were used to study the control problems, but few pieces of research studies have discussed the case of systems with nonslow delay. In this work, we remove the slow time-delay condition and consider the nonlinear delayed system with complicated polynomial terms. By proposing a dynamic gain method and constructing a new Lyapunov–Razumikhin (L-R) function, we successfully construct a stable controller, which guarantees that the plant is globally asymptotically stable (GAS). An example is utilized to verify the raised control scheme.