Two novel stability criteria for linear systems with interval time-varying delays

Z Zhai, H Yan, S Chen, Y Tian… - International Journal of …, 2023 - Taylor & Francis
This paper analyses the stability problem of linear systems with interval time-varying delay.
In regard to the delay, it has the lower and upper bounds and its derivative is unknown or …

Hierarchical stability conditions for linear systems with interval time-varying delay

Z Zhai, H Yan, S Chen, Z Li, M Wang - Journal of the Franklin Institute, 2024 - Elsevier
This paper proposes the hierarchical stability conditions for linear systems with an interval
time-varying delay. In the matter of the delay, the upper and lower bounds are restricted, but …

Stability analysis of linear systems with an interval time-varying delay–A delay-range-partition approach

X Zhang, Y Wang, X Fan - International Journal of Control, Automation and …, 2017 - Springer
In this paper, the stability analysis problem of linear systems with an interval time-varying
delay is investigated. Firstly, an augmented Lyapunov-Krasovskii functional is constructed …

New stability criterion for time-delay systems via an augmented lyapunov–krasovskii functional

X Liu, D Zhao - Applied Mathematics Letters, 2021 - Elsevier
This paper focuses on the stability of linear systems with time-delay. An augmented
Lyapunov–Krasovskii functional (LKF) is first constructed, and then a generalized delay …

Enhancement on stability criteria for linear systems with interval time-varying delays

OM Kwon, MJ Park, JH Park, SM Lee - International Journal of Control …, 2016 - Springer
In this paper, the problem of stability for linear systems with interval time-varying delays is
investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and …

[PDF][PDF] Novel stability criterion for linear system with two additive time-varying delays using general integral inequalities

Y Ji, X Ma, L Wang, Y Xing - AIMS Mathematics, 2021 - aimspress.com
The stability analysis strategy for continuous linear system with two additive time-varying
delays is proposed in this paper. First, for the purpose of analysis, the novel Lyapunov …

[PDF][PDF] Further results on stability analysis of time-varying delay systems via novel integral inequalities and improved Lyapunov-Krasovskii functionals

X Liu, K Shi - AIMS Math, 2022 - aimspress.com
This work develops some novel approaches to investigate the stability analysis issue of
linear systems with time-varying delays. Compared with the existing results, we give three …

A novel integral inequality and its application to stability analysis of linear system with multiple time delays

L Jin, Y He, L Jiang - Applied Mathematics Letters, 2022 - Elsevier
The integral inequality plays a key role in developing delay-dependent stability criteria for
the linear system with multiple time delays. This paper investigates a novel integral …

Reducing conservatism of stability criteria for linear systems with time-varying delay using an improved triple-integral inequality

BL Zhang, L Cheng, K Pan, XM Zhang - Applied Mathematics and …, 2020 - Elsevier
This paper focuses on stability analysis of linear systems with time-varying delay, where two
cases of the time-varying delay are discussed, that is, the time-varying delay is either …

Enhancing Stability Criteria for Linear Systems with Interval Time-Varying Delays via Augmented Lyapunov-Krasovskii functional

DH Lee, YJ Kim, SH Lee, OM Kwon - 2024 - preprints.org
This work investigates the stability conditions for linear systems with time-varying delays via
augmented Lyapunov-Krasovskii functional (LKF). Two types of augmented LKFs with cross …