Stabilization of Stochastic Retarded Systems Based on Sampled-Data Feedback Control

被引：25

作者：

Yang, Xuetao ^{[1
,2
]}

Zhu, Quanxin ^{[1
]}

机构：

[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2021年 / 51卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Feedback control; Delays; Stochastic processes; Differential equations; Delay effects; Stochastic systems; Feeds; Mean square exponential stabilization; sampled-data feedback control; stochastic retarded system; RAZUMIKHIN-TYPE THEOREMS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; DELAY SYSTEMS; NONLINEAR-SYSTEMS;

D O I：

10.1109/TSMC.2019.2956757

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Throughout this article, we study the mean square exponential stabilization of stochastic retarded systems described by stochastic functional differential equations (SFDEs). Different from the traditional feedback controls with continuous observation of state, we put forward a novel sampled-data feedback control depending on the discrete observation of state and time delay. It greatly enlarges the probability of finding discrete-time feedback controls for stochastic retarded systems. In addition, the novel sampled-data feedback control succeeds in handling the delays involved in SFDEs. As applications, we provide two examples with simulation figures to illustrate the main result.

引用

页码：5895 / 5904

页数：10

共 41 条

[1] Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints [J].

Briat, Corentin .

AUTOMATICA, 2016, 74 :279-287

[2] Practical exponential stability of impulsive stochastic functional differential equations [J].

Caraballo, Tomas ;

Hammami, Mohamed Ali ;

Mchiri, Lassaad .

SYSTEMS & CONTROL LETTERS, 2017, 109 :43-48

[3] Passivity-Based Robust Sampled-Data Control for Markovian Jump Systems [J].

Chen, Guoliang ;

Sun, Jian ;

Chen, Jie .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07) :2671-2684

[4] Stability analysis for neutral stochastic delay systems with Markovian switching [J].

Chen, Huabin ;

Shi, Peng ;

Lim, Cheng-Chew .

SYSTEMS & CONTROL LETTERS, 2017, 110 :38-48

[5] Stochastic stabilization of hybrid differential equations [J].

Deng, Feiqi ;

Luo, Qi ;

Mao, Xuerong .

AUTOMATICA, 2012, 48 (09) :2321-2328

[6] Stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].

Deng, H. ;

Krstić, M. ;

Williams, R.J. .

1600, Institute of Electrical and Electronics Engineers Inc. (46)

[7]

Dunkel G, 2006, LECT NOTES MATH, V60, P92

[8] KINETICS OF THE CIRCULATING-FUEL NUCLEAR REACTOR [J].

ERGEN, WK .

JOURNAL OF APPLIED PHYSICS, 1954, 25 (06) :702-711

[9] Stabilization of stochastic functional differential systems with delayed impulses [J].

Fu, Xiaozheng ;

Zhu, Quanxin ;

Guo, Yingxin .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 (776-789) :776-789

[10] ALMOST SURE EXPONENTIAL STABILITY OF STOCHASTIC DIFFERENTIAL DELAY EQUATIONS [J].

Guo, Qian ;

Mao, Xuerong ;

Yue, Rongxian .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (04) :1919-1933

← 1 2 3 4 5 →