Finite-time boundedness for switched systems subject to both discrete and distributed delays

被引：0
作者：
Wang, Yijing [1 ]
Li, Shulan [1 ]
Liu, Yuhua [1 ]
Zuo, Zhiqiang [1 ]
机构：
[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2017年 / 39卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Switched systems; finite-time boundedness; average dwell time; Jensen inequality; Wirtinger inequality; EXPONENTIAL STABILITY; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; NEURAL-NETWORKS; STABILIZATION; STABILIZABILITY;
D O I：
10.1177/0142331215612546
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 finite-time boundedness of switched systems in the presence of both discrete and distributed delays is addressed. The multiple Lyapunov-Krasovskii functional approach is proposed to give some criteria ensuring that the state trajectories of the system remain bounded within a finite time interval. The switching law is designed in terms of average dwell time technique and the Jensen inequality. To further reduce the conservatism, we adopt the Wirtinger inequality which encompasses the Jensen one to derive a new condition. Finally, two numerical examples are presented to demonstrate the effectiveness of our result and the potential of employing the Wirtinger inequality.
引用
收藏
页码：107 / 113
页数：7
相关论文
共 37 条
[1]   Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].
Amato, F ;
Ariola, M ;
Dorato, P .
AUTOMATICA, 2001, 37 (09) :1459-1463
[2]   Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design [J].
Amato, Francesco ;
Ariola, Marco ;
Cosentino, Carlo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (04) :1003-1008
[3]   Finite-time stability of linear time-varying systems with jumps [J].
Amato, Francesco ;
Ambrosino, Roberto ;
Ariola, Marco ;
Cosentino, Carlo .
AUTOMATICA, 2009, 45 (05) :1354-1358
[4]  
Buisson J, 2005, LECT NOTES COMPUT SC, V3414, P184
[5]   Delay-dependent robust stabilization for uncertain neutral systems with distributed delays [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2007, 43 (01) :95-104
[6]  
Dorato P., 1961, Short-time stability in linear time-varying systems
[7]  
Du HB, 2010, KYBERNETIKA, V46, P870
[8]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[9]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[10]   Delay decomposition approach to robust delay-dependent H∞ filtering of uncertain stochastic systems with time-varying delays [J].
Hua, Mingang ;
Zhang, Jianyong ;
Chen, Junfeng ;
Fei, Juntao .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (08) :1143-1152
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