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

Dihua Zhai; Yu Kang; Ping Zhao; Haofei Meng

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

Dihua Zhai, Yu Kang^*, Ping Zhao, Haofei Meng

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference, CCC 2012
Pages	243-248
Number of pages	6
Publication status	Published - 2012
Externally published	Yes
Event	31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	31st Chinese Control Conference, CCC 2012
Country/Territory	China
City	Hefei
Period	25/07/12 → 27/07/12

Keywords

IOSS
average dwell-time
stable and unstable subsystems
stochastic nonlinear systems
switched systems

Cite this

@inproceedings{27e90350c69f4ba3a2bc91b8e61d68db,

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

abstract = "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.",

keywords = "IOSS, average dwell-time, stable and unstable subsystems, stochastic nonlinear systems, switched systems",

author = "Dihua Zhai and Yu Kang and Ping Zhao and Haofei Meng",

year = "2012",

language = "English",

isbn = "9789881563811",

series = "Chinese Control Conference, CCC",

pages = "243--248",

booktitle = "Proceedings of the 31st Chinese Control Conference, CCC 2012",

note = "31st Chinese Control Conference, CCC 2012 ; Conference date: 25-07-2012 Through 27-07-2012",

}

Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems. / Zhai, Dihua; Kang, Yu; Zhao, Ping et al.
Proceedings of the 31st Chinese Control Conference, CCC 2012. 2012. p. 243-248 6389935 (Chinese Control Conference, CCC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems

AU - Zhai, Dihua

AU - Kang, Yu

AU - Zhao, Ping

AU - Meng, Haofei

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - IOSS

KW - average dwell-time

KW - stable and unstable subsystems

KW - stochastic nonlinear systems

KW - switched systems

UR - http://www.scopus.com/inward/record.url?scp=84873556810&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84873556810

SN - 9789881563811

T3 - Chinese Control Conference, CCC

SP - 243

EP - 248

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

T2 - 31st Chinese Control Conference, CCC 2012

Y2 - 25 July 2012 through 27 July 2012

ER -

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

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Keywords

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