Stability Analysis of Uncertain Switched Delay Systems: A Time-Varying Lyapunov Function Approach

被引：0

作者：

Huang, Ganji ^{[1
]}

Luo, Shixian ^{[1
]}

Chen, Wu-hua ^{[1
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Guangxi Coll & Univ Key Lab Math & Its Applicat, Nanning, Guangxi, Peoples R China

来源：

PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND CONTROL SYSTEMS (MECS2015) | 2016年

关键词：

exponential stability; switched system; uncertain; delay; time-varying Lyapunov function; EXPONENTIAL STABILITY; CONTROL DESIGN; STABILIZABILITY; STABILIZATION; L-2-GAIN;

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：

Exponential stability for switched systems with uncertain parameters and time-varying delay is considered in this paper. The parametric uncertainties are assumed to be time-varying and norm-bounded. By introducing a novel piecewise time-varying Lyapunov function and using Razumikhin techniques, some linear matrix inequalities (LMIs) stability criteria are derived to guarantee the exponential stability of the switched delay systems. A numerical example is presented to demonstrate the effectiveness of the proposed method.

引用

页码：146 / 152

页数：7

共 50 条

[1] Stability and stabilisation of switched time-varying delay systems: a multiple discontinuous Lyapunov function approach
Saberi, Mohammad Mahdi
Zamani, Iman
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (13) : 2378 - 2409
[2] Parameter-dependent Lyapunov function approach to stability analysis and design for uncertain systems with time-varying delay
Cao, YY
Xue, A
[J]. EUROPEAN JOURNAL OF CONTROL, 2005, 11 (01) : 56 - 66
[3] Discussion on: "Parameter-dependent Lyapunov function approach to stability analysis and design for uncertain systems with time-varying delay"
Knospe, CR
[J]. EUROPEAN JOURNAL OF CONTROL, 2005, 11 (01) : 67 - 68
[4] Stability analysis of uncertain discrete-time systems with time-varying state delay: A parameter-dependent Lyapunov function approach
Gao, Huijun
Lam, James
Chen, Tongwen
Wang, Changhong
[J]. ASIAN JOURNAL OF CONTROL, 2006, 8 (04) : 433 - 440
[5] Robust stability for uncertain switched systems with interval time-varying delay
La-inchua, Teerapong
Niamsup, Piyapong
[J]. PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1305 - 1310
[6] Stability of time-varying switched systems with time-varying delay
Niamsup, Piyapong
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 631 - 639
[7] A delay decomposition approach to robust stability analysis of uncertain systems with time-varying delay
Liu, Pin-Lin
[J]. ISA TRANSACTIONS, 2012, 51 (06) : 694 - 701
[8] Stability analysis for uncertain switched neural networks with time-varying delay
Shen, Wenwen
Zeng, Zhigang
Wang, Leimin
[J]. NEURAL NETWORKS, 2016, 83 : 32 - 41
[9] Stability of Uncertain Systems with Time-varying Delay
Tang Meilan
Liu Xinge
[J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3, 2008, : 632 - 635
[10] Stability of switched systems with time-varying delays: Delay-dependent common Lyapunov functional approach
Sun, Yuan Gong
Wang, Long
Xie, Guangming
[J]. 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 1544 - +

← 1 2 3 4 5 →