Stability Analysis of Time-Varying Delay Systems with an Improved Type of LKF | Zendy

Wenhao Wang | Zendy; Hong Zhu | Zendy; Kaibo Shi | Zendy; Shouming Zhong | Zendy; Can Zhao | Zendy

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Stability Analysis of Time-Varying Delay Systems with an Improved Type of LKF

Author(s) -

Wenhao Wang,

Hong Zhu,

Kaibo Shi,

Shouming Zhong,

Can Zhao

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6662658

Subject(s) - stability (learning theory) , type (biology) , conservatism , control theory (sociology) , mathematics , order (exchange) , computer science , control (management) , artificial intelligence , economics , ecology , finance , machine learning , politics , political science , law , biology

This paper further investigates the problem of stability for a general linear system with time-varying delays. Firstly an improved type of Lyapunov–Krasovskii functional is introduced with integral and nonintegral terms and time-correlation terms. Referring a few existing papers, some valid inequalities mathematical analysis techniques are used in this paper in order to reduce the conservatism of the system. Finally, two examples are presented to demonstrate the advantages of the proposed tactics in this paper.

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