A Stability Analysis for a class of Systems with Time-varying Delay

被引：0

作者：

Guo Zixiang ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Zhejiang, Peoples R China

来源：

2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2017年

关键词：

time-varying delay; integral inequality; stability criterion; Lyapunov-Krasovskii functional; RANGE-DEPENDENT STABILITY; UNCERTAIN SYSTEMS; ROBUST STABILITY; CRITERIA; STATE; STABILIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of stability for linear systems with time-varying delays is investigated. By constructinga suitable augmented Lyapunov-Krasovskii functional and its derivativeis estimated by using Jensen integral inequality, Then we obtain a less conservativstability criteria. Finally, The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via a numerical example.

引用

页码：577 / 580

页数：4

共 26 条

[1] Ariba Y, 2008, P 47 IEEE C DEC CONT
[2] Comments and an improved result on "stability analysis for continuous system with additive time-varying delays: A less conservative result"
Ge, Xiaohua
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 241 : 42 - 46
[3] Giu K., 2003, CONTROL THEORY APPL, V6, P868
[4] Delay-range-dependent stability for systems with time-varying delay
He, Yong
Wang, Qing-Guo
Lin, Chong
Wu, Min
[J]. AUTOMATICA, 2007, 43 (02) : 371 - 376
[5] On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
Hui J.-J.
Zhang H.-X.
Kong X.-Y.
Zhou X.
[J]. International Journal of Automation and Computing, 2015, 12 (1) : 102 - 108
[6] New stability criteria for linear systems with interval time-varying delay
Jiang, Xiefu
Han, Qing-Long
[J]. AUTOMATICA, 2008, 44 (10) : 2680 - 2685
[7] Stability analysis for continuous systems with two additive time-varying delay components
Lam, James
Gao, Huijun
Wang, Changhong
[J]. SYSTEMS & CONTROL LETTERS, 2007, 56 (01) : 16 - 24
[8] Delay-dependent robust H∞ control for uncertain systems with a state-delay
Lee, YS
Moon, YS
Kwon, WH
Park, PG
[J]. AUTOMATICA, 2004, 40 (01) : 65 - 72
[9] A less conservative robust stability test for linear uncertain time-delay systems
Lin, C
Wang, QG
Lee, TH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) : 87 - 91
[10] New results on delay-range-dependent stability analysis for interval time-varying delay systems with non-linear perturbations
Liu, Pin-Lin
[J]. ISA TRANSACTIONS, 2015, 57 : 93 - 100

← 1 2 3 →