Work

Stability analysis of linear systems with a periodical time-varying delay based on an improved non-continuous piecewise Lyapunov functional

Year: 2025

Type: article

Abstract: This paper mainly studies the stability of linear systems with a periodical time-varying delay. An improved delay-segmentation-based non-continuous piecewise Lyapunov–Krasovskii (L–K) functional is proposed. In comparison with the currently available L–K functional, this functional incorporates more delay-segmentation-interval-related information. Additionally, it effectively eases the boundary constraints at each segment point. Consequently, a stability criterion with reduced conservativeness for linear time-delay systems is derived. Finally, two numerical examples and a single-area load frequency control system are given to validate the efficiency of the proposed approach.

Source: AIMS Mathematics

DOI: 10.3934/math.2025418

Authors: Wei Wang, Chang-Xin Li, Ao-Qian Luo, Hui-Qin Xiao

Institution: Hunan University of Technology

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: National Natural Science Foundation of China