Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays

被引：7

作者：

Lin, Xiangze ^{[1
]}

Yang, Zhonglin ^{[1
]}

Li, Shihua ^{[2
]}

机构：

[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China

[2] Southeast Univ, Sch Automat, Nanjing, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Switched systems; linear matrix inequalities (LMIs); finite-time boundedness; mode-depended average dwell time (MDADT); multiple Lyapunov-Krasovskii functions; OUTPUT-FEEDBACK STABILIZATION; H-INFINITY CONTROL; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILITY ANALYSIS; ASYMPTOTIC STABILITY;

D O I：

10.1080/00207721.2019.1622816

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, finite-time boundedness of a class of neutral type switched systems with time-varying delays is investigated. By virtue of linear matrix inequalities, delay-depended sufficient conditions are given to guarantee switched systems with time-varying delays finite-time bounded. If there is no disturbance, finite-time boundedness degenerates into finite-time stability, which is also discussed in this note. Mode-depended average dwell time (MDADT) of switching signals is also given such that neutral type switched systems are finite-time bounded or finite-time stable. Moreover, finite-time weighted -gain of neutral type switched systems with time-varying delays is presented to measure its disturbance tolerance capability in the fixed time interval. Proofs in detail are accomplished by using multiple Lyapunov-Krasovskii functions. Finally, theoretical results are verified by using a numerical example.

引用

页码：1703 / 1717

页数：15

共 49 条

[1]

Ali M. S., 2018, NEURAL PROCESS LETT, P1

[2]

Ali MS, 2018, IRAN J FUZZY SYST, V15, P93

[3] Finite-time H a Filtering for Discrete-time Markovian Jump BAM Neural Networks with Time-varying Delays [J].

Ali, M. Syed ;

Meenakshi, K. ;

Joo, Young Hoon .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (04) :1971-1980

[4] 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

[5] Global asymptotic stability of stochastic recurrent neural networks with multiple discrete delays and unbounded distributed delays [J].

Balasubramaniam, P. ;

Rakkiyappan, R. .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) :680-686

[6] Stability of neutral stochastic switched time delay systems: An average dwell time approach [J].

Chen, Huabin ;

Shi, Peng ;

Lim, Cheng-Chew .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (03) :512-532

[7] Finite-time boundedness of state estimation for neural networks with time-varying delays [J].

Cheng, Jun ;

Zhong, Shouming ;

Zhong, Qishui ;

Zhu, Hong ;

Du, Yuanhua .

NEUROCOMPUTING, 2014, 129 :257-264

[8] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

[9] Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques [J].

Ding, Shihong ;

Li, Shihua .

AEROSPACE SCIENCE AND TECHNOLOGY, 2009, 13 (4-5) :256-265

[10] Stability and L1-gain analysis for switched positive T-S fuzzy systems under asynchronous switching [J].

Du, Shengli ;

Qiao, Junfei ;

Zhao, Xudong ;

Wang, Rui .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13) :5912-5927

← 1 2 3 4 5 →