Finite-time stability analysis of singular neutral systems with time delay

Sheng Wang; Shaohua Long; Sheng Wang; Shaohua Long

doi:10.3934/math.20241308

AIMS Mathematics

2024, Volume 9, Issue 10: 26877-26901. doi: 10.3934/math.20241308

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Research article

Finite-time stability analysis of singular neutral systems with time delay

Sheng Wang ¹,
Shaohua Long ^{2
,
,}

1.
School of Science, Hunan Institute of Technology, Hengyang 421002, China
2.
School of Science, Chongqing University of Technology, Chongqing 400054, China

Received: 17 July 2024 Revised: 30 August 2024 Accepted: 03 September 2024 Published: 14 September 2024
MSC : 34A09, 34D20

This paper studies the finite-time stability problem for a class of singular neutral systems by using the Lyapunov-Krasovskii function approach and regular neutral system theory. The considered systems involve not only the delayed version of the state, but also the delayed version of the derivative of the state. Some sufficient conditions are presented to ensure that the considered systems are regular, impulse-free, and finite-time stable. Three numerical examples are given to illustrate the effectiveness of the proposed methods.
- singular neutral system,
- finite-time stability,
- time delay,
- Lyapunov-Krasovskii function
Citation: Sheng Wang, Shaohua Long. Finite-time stability analysis of singular neutral systems with time delay[J]. AIMS Mathematics, 2024, 9(10): 26877-26901. doi: 10.3934/math.20241308

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Abstract

This paper studies the finite-time stability problem for a class of singular neutral systems by using the Lyapunov-Krasovskii function approach and regular neutral system theory. The considered systems involve not only the delayed version of the state, but also the delayed version of the derivative of the state. Some sufficient conditions are presented to ensure that the considered systems are regular, impulse-free, and finite-time stable. Three numerical examples are given to illustrate the effectiveness of the proposed methods.

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