Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems

被引：0
作者：
Zhai Dihua [1 ]
Kang Yu [1 ]
Zhao Ping [2 ]
Meng Haofei [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Anhui, Peoples R China
[2] Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
关键词：
IOSS; stochastic nonlinear systems; switched systems; average dwell-time; stable and unstable subsystems; INPUT-OUTPUT;
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 notions of stochastic input/output-to-state stability (SIOSS) and pth moment IOSS are introduced to stochastic nonlinear systems. As an extension, we also consider the IOSS property of switched stochastic nonlinear systems under average dwell-time switching signals, both when all constituent subsystems are IOSS in probability (in pth moment) and when only some of them are IOSS in probability (in pth moment) while some others are not. Moreover, the conclusions in this paper are also applicable for the analysis of pth ISS/SISS for switched systems. As the results, the corresponding Lyapunov-type sufficient criteria of pth moment IOSS and SIOSS are given. Finally, a simulation example is given to demonstrate the effectiveness of the proposed results.
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收藏
页码：243 / 248
页数：6
相关论文
共 24 条
[1]   Separation principles for input-output and integral-input-to-state stability [J].
Angeli, D ;
Ingalls, B ;
Sontag, ED ;
Wang, Y .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 43 (01) :256-276
[2]   Input-output-to-state stability for discrete-time systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
AUTOMATICA, 2008, 44 (02) :326-336
[3]   Asymptotic characterizations of input-output-to-state stability for discrete-time systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
SYSTEMS & CONTROL LETTERS, 2007, 56 (06) :408-415
[4]   Output-to-state stability for hybrid systems [J].
Cai, Chaohong ;
Teel, Andrew R. .
SYSTEMS & CONTROL LETTERS, 2011, 60 (01) :62-68
[5]   Stability analysis of deterministic and Stochastic switched systems via a comparison principle and multiple Lyapunov functions [J].
Chatterjee, D ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :174-206
[6]  
Chatterjee D., 2006, P 45 IEEE C DEC CONT
[7]   On detectability of stochastic systems [J].
Damm, Tobias .
AUTOMATICA, 2007, 43 (05) :928-933
[8]   Input-to-state stability of switched nonlinear systems [J].
Feng Wei ;
Zhang JiFeng .
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2008, 51 (12) :1992-2004
[9]  
García RA, 2002, P AMER CONTR CONF, V1-6, P1892, DOI 10.1109/ACC.2002.1023909
[10]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
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