Stability and stabilization of discrete-time time-varying systems with unbounded delays

被引：0

作者：

Guo, Yige ^{[1
]}

Wang, Fei ^{[1
]}

Guo, Yihan ^{[2
]}

Xu, Xiang ^{[3
]}

机构：

[1] Zhongguancun Laboratory, Beijing

[2] Xi'an Modern Chemistry Research Inistitute, Xi'an

[3] Shenzhen Key Laboratory of Control Theory and Intelligent Systems, Southern University of Science and Technology, Shenzhen

来源：

Journal of the Franklin Institute | 2025年 / 362卷 / 13期

关键词：

Discrete-time systems; Stability; Stabilization; Time-varying systems; Unbounded delays;

D O I：

10.1016/j.jfranklin.2025.107890

中图分类号：

学科分类号：

摘要：

This study addresses the stability and stabilization of discrete-time time-varying systems subject to unbounded delays. First, novel extended Lyapunov stability theorems are established, which permit positive differences in Lyapunov functionals. Based on these results, two low gain control laws are designed for some discrete-time linear time-varying (LTV) systems subject to unbounded input delays, ensuring global exponential stability of the closed-loop systems. At last, the efficacy of the proposed control schemes is demonstrated by two numerical examples. © 2025 The Franklin Institute

引用

共 51 条

[21]

Li L., Chen W., Letaief K.B., Simple bounds on delay-constrained capacity and delay-violation probability of joint queue and channel-aware wireless transmissions, IEEE Trans. Wireless Commun., 22, 4, pp. 2744-2759, (2022)

[22]

Reutskiy S.Y., A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay, Appl. Math. Comput., 266, pp. 642-655, (2015)

[23]

Sipahi R., Atay F.M., Niculescu S.-I., Stability of traffic flow behavior with distributed delays modeling the memory effects of the drivers, SIAM J. Appl. Math., 68, 3, pp. 738-759, (2008)

[24]

Michiels W., Morarescu C.-I., Niculescu S.-I., Consensus problems with distributed delays, with application to traffic flow models, SIAM J. Control Optim., 48, 1, pp. 77-101, (2009)

[25]

Han B., Jiang D., Threshold dynamics and probability density functions of a stochastic predator–prey model with general distributed delay, Commun. Nonlinear Sci. Numer. Simul., 128, (2024)

[26]

Kaslik E., Neamtu M., Vesa L.F., Global stability analysis of an unemployment model with distributed delay, Math. Comput. Simul., 185, pp. 535-546, (2021)

[27]

Wan P., Zeng Z., Impulsive stabilization of nonautonomous timescale-type neural networks with constant and unbounded time-varying delays, IEEE Trans. Syst. Man Cybern., 53, 1, pp. 542-554, (2023)

[28]

Schumacher K., Existence and continuous dependence for functional-differential equations with unbounded delay, Arch. Ration. Mech. Anal., 67, pp. 315-335, (1978)

[29]

Hino Y., Continuous dependence for some functional differential equations, Tohoku Math. J. Second Series, 23, 3, pp. 565-571, (1971)

[30]

Elaydi S., Periodicity and stability of linear Volterra difference systems, J. Math. Anal. Appl., 181, 2, pp. 483-492, (1994)

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