Relaxed stability conditions for linear systems with time-varying delays via some novel approaches-Reference-Cited by-同舟云学术

Relaxed stability conditions for linear systems with time-varying delays via some novel approaches

Published:2020 Issue:3 Volume:6 Page:2454-2467
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lee Seunghoon, ,Kim Youngjae,Lee Yonggwon,Park Myeongjin,Kwon Ohmin,

Abstract

<abstract> <p>In this paper, the stability problem with considering time-varying delays of linear systems is investigated. By constructing new augmented Lyapunov-Krasovskii (L-K) functionals based on auxiliary function-based integral inequality (AFBI) and considering Finsler's lemma, a stability criterion is derived. Based on the previous result, a less conservative result is proposed through the augmented zero equality approach. Finally, numerical examples are given to show the effect of the proposed criteria.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference36 articles.

1. S. I. Niculescu, Delay effects on stability: A robust approach, Springer-Verlag, London, 2001.

2. J. P. Richard, Time-delay systems: An overview of some recent advances and open problems, Automatica, 39 (2003), 1667-1694.

3. X. Li, J. Shen, H. Akca, R. Rakkiyappand, LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter, Appl. Math. Comput., 250 (2015), 798-804.

4. X. Li, J. Shen, R. Rakkiyappan, Persistent impulsive effects on stability of functional differential equations with finite or infinite delay, Appl. Math. Comput., 329 (2018), 14-30.

5. D. Yang, X. Li, J. Shen, Z. Zhou, State-dependent switching control of delayed switched systems with stable and unstable modes, Math. Method. Appl. Sci., 41 (2018), 6968-6983.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Tracking Control Design for Markov Jump Systems With Time-varying Delay and External Disturbances;International Journal of Control, Automation and Systems;2023-07

2. An improved reachable set estimation for time-delay linear systems with peak-bounded inputs and polytopic uncertainties via augmented zero equality approach;AIMS Mathematics;2022