An Improved Stability Criterion for Discrete-Time Linear Systems With Two Additive Time-Varying Delays

In this paper, the stability analysis problem for discrete-time linear systems with additive time-varying delays is further investigated. In the first place, an augmented Lyapunov-Krasovskii functional (LKF) based on delay interval decomposition is designed, where some augmented vectors are selected...

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Bibliographic Details
Published in:IEEE access 2022, Vol.10, p.126787-126801
Main Authors: Yang, Hanhua, Bo, Xiaoting, Chen, Chong, Duan, Wenyong
Format: Article
Language:English
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Summary:In this paper, the stability analysis problem for discrete-time linear systems with additive time-varying delays is further investigated. In the first place, an augmented Lyapunov-Krasovskii functional (LKF) based on delay interval decomposition is designed, where some augmented vectors are selected to supplement the coupling relationships between some system state variables and different delay subintervals. In the second place, based on the augmented LKF, a new delay-dependent stability criterion is derived vai a general summation inequality lemma. The stability criterion is derived in the form of linear matrix inequality (LMI), which can be solved quickly by Matlab LMI-Tool. In the end, the effectiveness of the proposed method is illustrated by some common numerical examples.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2022.3226698