Decentralized stabilization of large-scale systems with interval time-varying delays in interconnections

被引：7

作者：

Fernando, T. L. ^{[2
]}

Phat, V. N. ^{[1
]}

Trinh, H. M. ^{[3
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam

[2] Univ Western Australia, Sch Elect Engn, Nedlands, WA 6009, Australia

[3] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia

来源：

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2012年 / 26卷 / 06期

关键词：

decentralized stabilization; large-scale systems; interval delays; Lyapunov function; linear matrix inequalities; EXPONENTIAL STABILIZATION; FEEDBACK CONTROLLERS; ROBUST STABILITY; LINEAR-SYSTEMS; DESIGN;

D O I：

10.1002/acs.2274

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers decentralized stabilization problem for a class of large-scale systems with interval time-varying delays in interconnections. The time delay is assumed to be a continuous function belonging to a given interval but not necessary to be differentiable. On the basis of constructing a set of improved LyapunovKrasovskii functionals, new sufficient conditions for the existence of decentralized state feedback controller are established in terms of linear matrix inequalities. The decentralized control design guarantees the system exponential stability. An illustrative example is given to show the validity of the results obtained in this paper. Copyright (C) 2012 John Wiley & Sons, Ltd.

引用

页码：541 / 554

页数：14

共 50 条

[1] Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections
Thanh, Nguyen T.
Phat, Vu N.
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 11 : 22 - 36
[2] DECENTRALIZED STABILIZATION OF LARGE-SCALE LINEAR INTERCONNECTED SYSTEMS WITH TIME-VARYING DELAYS
余昭旭
孙继涛
[J]. Applied Mathematics and Mechanics(English Edition), 2000, (09) : 1053 - 1057
[3] Decentralized stabilization of large-scale linear interconnected systems with time-varying delays
Yu Zhao-xu
Sun Ji-tao
[J]. Applied Mathematics and Mechanics, 2000, 21 (9) : 1053 - 1057
[4] Decentralized stabilization of large-scale linear interconnected systems with time-varying delays
Yu, ZX
Sun, JT
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (09) : 1053 - 1057
[5] DECENTRALIZED STABILIZATION OF TIME-VARYING LARGE-SCALE INTERCONNECTED SYSTEMS
SHI, ZC
GAO, WB
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1987, 18 (08) : 1523 - 1535
[6] Robust decentralized stabilization for large-scale systems with multiple time-varying delays and nonlinear uncertainties
Liu, XZ
Dimirovski, GM
Jing, YW
Zhang, SY
[J]. CCA 2003: PROCEEDINGS OF 2003 IEEE CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 AND 2, 2003, : 1323 - 1326
[7] Decentralized H∞ output feedback stabilization for large-scale systems with multiple time-varying delays
Jiang, B
Wang, JL
[J]. PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 971 - 975
[8] Decentralized stabilization of large-scale linear continuous systems with N x N time-varying delays
Xu, BG
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (04) : 489 - 496
[9] Decentralized stabilization of large-scale systems with time delays
Xiao, Xiaoshi
Mao, Zhizhong
[J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2974 - 2978
[10] Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers
Li, Huijuan
Li, Wuquan
Gu, Jianzhong
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 418

← 1 2 3 4 5 →