Some results on stochastic input-to-state stability of stochastic switched nonlinear systems

Guangdeng Zong; Zidong Ai; Wei Xing Zheng; Jinhu Lu

doi:10.1109/ISCAS.2016.7527329

Some results on stochastic input-to-state stability of stochastic switched nonlinear systems

Guangdeng Zong, Zidong Ai, Wei Xing Zheng, Jinhu Lu

Western Sydney University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

3 Citations (Scopus)

Abstract

In this paper, the problem of stochastic input-to-state stability (SISS) is investigated for a class of stochastic switched nonlinear systems. A sufficient condition is first derived to estimate an upper bound on a stochastic process. Based on that, the SISS problem is addressed for stochastic nonlinear systems be virtue of the indefinite Lyapuno function approach. For the convenience of simulation, the SISS property of stochastic switched nonlinear systems i further analyzed by the average dwell-time technique. An illustrative example together with numerical simulatio s is presented to demonstrate the efficiency of the proposed results.

Original language	English
Title of host publication	Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada
Publisher	IEEE
Pages	670-673
Number of pages	4
ISBN (Print)	9781479953400
DOIs	https://doi.org/10.1109/ISCAS.2016.7527329
Publication status	Published - 2016
Event	IEEE International Symposium on Circuits and Systems - Duration: 22 May 2016 → …

Publication series

Name
ISSN (Print)	0271-4310

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	22/05/16 → …

Keywords

neural networks (computer science)
nonlinear systems
stochastic processes

Access to Document

10.1109/ISCAS.2016.7527329

Cite this

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title = "Some results on stochastic input-to-state stability of stochastic switched nonlinear systems",

abstract = "In this paper, the problem of stochastic input-to-state stability (SISS) is investigated for a class of stochastic switched nonlinear systems. A sufficient condition is first derived to estimate an upper bound on a stochastic process. Based on that, the SISS problem is addressed for stochastic nonlinear systems be virtue of the indefinite Lyapuno function approach. For the convenience of simulation, the SISS property of stochastic switched nonlinear systems i further analyzed by the average dwell-time technique. An illustrative example together with numerical simulatio s is presented to demonstrate the efficiency of the proposed results.",

keywords = "neural networks (computer science), nonlinear systems, stochastic processes",

author = "Guangdeng Zong and Zidong Ai and Zheng, {Wei Xing} and Jinhu Lu",

year = "2016",

doi = "10.1109/ISCAS.2016.7527329",

language = "English",

isbn = "9781479953400",

publisher = "IEEE",

pages = "670--673",

booktitle = "Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada",

note = "IEEE International Symposium on Circuits and Systems ; Conference date: 22-05-2016",

}

Zong, G, Ai, Z, Zheng, WX & Lu, J 2016, Some results on stochastic input-to-state stability of stochastic switched nonlinear systems. in Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada. IEEE, pp. 670-673, IEEE International Symposium on Circuits and Systems, 22/05/16. https://doi.org/10.1109/ISCAS.2016.7527329

Some results on stochastic input-to-state stability of stochastic switched nonlinear systems. / Zong, Guangdeng; Ai, Zidong; Zheng, Wei Xing et al.
Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada. IEEE, 2016. p. 670-673.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - Some results on stochastic input-to-state stability of stochastic switched nonlinear systems

AU - Zong, Guangdeng

AU - Ai, Zidong

AU - Zheng, Wei Xing

AU - Lu, Jinhu

PY - 2016

Y1 - 2016

N2 - In this paper, the problem of stochastic input-to-state stability (SISS) is investigated for a class of stochastic switched nonlinear systems. A sufficient condition is first derived to estimate an upper bound on a stochastic process. Based on that, the SISS problem is addressed for stochastic nonlinear systems be virtue of the indefinite Lyapuno function approach. For the convenience of simulation, the SISS property of stochastic switched nonlinear systems i further analyzed by the average dwell-time technique. An illustrative example together with numerical simulatio s is presented to demonstrate the efficiency of the proposed results.

AB - In this paper, the problem of stochastic input-to-state stability (SISS) is investigated for a class of stochastic switched nonlinear systems. A sufficient condition is first derived to estimate an upper bound on a stochastic process. Based on that, the SISS problem is addressed for stochastic nonlinear systems be virtue of the indefinite Lyapuno function approach. For the convenience of simulation, the SISS property of stochastic switched nonlinear systems i further analyzed by the average dwell-time technique. An illustrative example together with numerical simulatio s is presented to demonstrate the efficiency of the proposed results.

KW - neural networks (computer science)

KW - nonlinear systems

KW - stochastic processes

UR - http://hdl.handle.net/1959.7/uws:37457

UR - http://iscas2016.org/

U2 - 10.1109/ISCAS.2016.7527329

DO - 10.1109/ISCAS.2016.7527329

M3 - Conference Paper

SN - 9781479953400

SP - 670

EP - 673

BT - Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada

PB - IEEE

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 22 May 2016

ER -

Some results on stochastic input-to-state stability of stochastic switched nonlinear systems

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