Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control

被引：1

作者：

Mao, Wei ^{[1
]}

Xiao, Xiao ^{[1
]}

Miao, Liangliang ^{[1
]}

Hu, Liangjian ^{[2
]}

机构：

[1] Jiangsu Second Normal Univ, Res Ctr Elementary Educ & Big Data, Sch Math Sci & Jiangsu Prov Engn, Nanjing 210013, Peoples R China

[2] Donghua Univ, Dept Stat, Shanghai 201620, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hybrid stochastic delay systems; Stabilization; Variable delay; Discrete-time state feedback control; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; DESTABILIZATION;

D O I：

10.1186/s13662-023-03759-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By using Lyapunov functionals, we obtain an upper bound tau* on the duration tau between two consecutive state observations. Meantime, we show that hybrid stochastic systems with variable delay can be stabilized by discrete-time state feedback control as long as tau < tau*. Finally, two examples are given to demonstrate the applicability of our work.

引用

页数：19

共 50 条

[41] Feedback control of a class of nonlinear discrete systems with state time-varying delay
School of Mathematical Science, Ocean University of China, Qingdao 266100, China
Int. Conf. Adv. Mechatronic Syst., ICAMechS - Final Program, 2011, (145-148): : 145 - 148
[42] DISCRETE-TIME STOCHASTIC ADAPTIVE-CONTROL FOR TIME-VARYING SYSTEMS
XIANYA, X
EVANS, RJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (07) : 638 - 640
[43] ISS Stabilization of Discrete-time LPV Systems with Interval Time-varying State Delay and Saturating Actuators
de Souza, C.
Leite, V. J. S.
Castelan, E. B.
Silva, L. F. P.
IFAC PAPERSONLINE, 2018, 51 (26): : 143 - 148
[44] Delay-Dependent Stabilization for Hybrid Stochastic Delay Systems by Discrete Time Feedback Control
Li Yu-Yuan
Kou Chun-hai
CONFERENCE PROCEEDINGS OF 2017 3RD IEEE INTERNATIONAL CONFERENCE ON CONTROL SCIENCE AND SYSTEMS ENGINEERING (ICCSSE), 2017, : 35 - 40
[45] Stabilization for Discrete-time Stochastic Systems with Delay
Li Lin
Zhang Huanshui
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5415 - 5418
[46] Synchronization of stochastic coupled systems with time-varying coupling structure on networks via discrete-time state feedback control
Liu, Yan
Zhu, Changjun
Chu, Dianhui
Li, Wenxue
NEUROCOMPUTING, 2018, 285 : 104 - 116
[47] Stabilization of Discrete-Time Linear Systems With an Unknown Time-Varying Delay by Switched Low-Gain Feedback
Su, Shize
Wei, Yusheng
Lin, Zongli
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (05) : 2069 - 2076
[48] STABILIZATION OF HYBRID SYSTEMS BY FEEDBACK CONTROL BASED ON DISCRETE-TIME STATE OBSERVATIONS
You, Surong
Liu, Wei
Lu, Jianqiu
Mao, Xuerong
Qiu, Qinwei
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (02) : 905 - 925
[49] Output feedback control of discrete systems with time-varying delay
Xia, Yuanqing
Shi, P.
Liu, G. P.
Rees, D.
ICICIC 2006: FIRST INTERNATIONAL CONFERENCE ON INNOVATIVE COMPUTING, INFORMATION AND CONTROL, VOL 3, PROCEEDINGS, 2006, : 504 - +
[50] Improved results for stochastic stabilization of a class of discrete-time singular Markovian jump systems with time-varying delay
Long, Shaohua
Zhong, Shouming
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 23 : 11 - 26

← 1 2 3 4 5 →