Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems

Ya Jun Li; Fei Qi Deng

doi:10.1109/ICMLC.2009.5212723

Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems

Ya Jun Li^*
, Fei Qi Deng

^*Corresponding author for this work

South China University of Technology
Shunde Polytechnic Foshan 528300

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

2 Scopus citations

Abstract

Sufficient conditions of the mean-square exponential stability and stochastic robust stabilization are investigated for a class of uncertain impulsive stochastic systems by means of stochastic Lyapunov stability theory and Ito ? differential rule. All results in this paper are expressed in terms of linear matrix inequalities, and a numerical example is presented to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2009 International Conference on Machine Learning and Cybernetics
Publisher	IEEE Computer Society
Pages	3667-3672
Number of pages	6
ISBN (Print)	9781424437030
DOIs	https://doi.org/10.1109/ICMLC.2009.5212723
State	Published - 2009
Externally published	Yes
Event	8th International Conference on Machine Learning and Cybernetics, ICMLC 2009 - Baoding, China Duration: 12 Jul 2009 → 15 Jul 2009

Publication series

Name	Proceedings of the 2009 International Conference on Machine Learning and Cybernetics
Volume	6

Conference

Conference	8th International Conference on Machine Learning and Cybernetics, ICMLC 2009
Country/Territory	China
City	Baoding
Period	12/07/09 → 15/07/09

Keywords

Impulsive stochastic system
Linear matrix inequality (LMI)
Mean-square exponential stability
Robustly stochastically stable

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10.1109/ICMLC.2009.5212723

Cite this

Li, Y. J., & Deng, F. Q. (2009). Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems. In Proceedings of the 2009 International Conference on Machine Learning and Cybernetics (pp. 3667-3672). Article 5212723 (Proceedings of the 2009 International Conference on Machine Learning and Cybernetics; Vol. 6). IEEE Computer Society. https://doi.org/10.1109/ICMLC.2009.5212723

@inproceedings{89e9c7292fa14f3295d268569619ed4f,

title = "Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems",

abstract = "Sufficient conditions of the mean-square exponential stability and stochastic robust stabilization are investigated for a class of uncertain impulsive stochastic systems by means of stochastic Lyapunov stability theory and Ito ? differential rule. All results in this paper are expressed in terms of linear matrix inequalities, and a numerical example is presented to illustrate the effectiveness of the proposed method.",

keywords = "Impulsive stochastic system, Linear matrix inequality (LMI), Mean-square exponential stability, Robustly stochastically stable",

author = "Li, \{Ya Jun\} and Deng, \{Fei Qi\}",

year = "2009",

doi = "10.1109/ICMLC.2009.5212723",

language = "英语",

isbn = "9781424437030",

series = "Proceedings of the 2009 International Conference on Machine Learning and Cybernetics",

publisher = "IEEE Computer Society",

pages = "3667--3672",

booktitle = "Proceedings of the 2009 International Conference on Machine Learning and Cybernetics",

address = "美国",

note = "8th International Conference on Machine Learning and Cybernetics, ICMLC 2009 ; Conference date: 12-07-2009 Through 15-07-2009",

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Li, YJ & Deng, FQ 2009, Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems. in Proceedings of the 2009 International Conference on Machine Learning and Cybernetics., 5212723, Proceedings of the 2009 International Conference on Machine Learning and Cybernetics, vol. 6, IEEE Computer Society, pp. 3667-3672, 8th International Conference on Machine Learning and Cybernetics, ICMLC 2009, Baoding, China, 12/07/09. https://doi.org/10.1109/ICMLC.2009.5212723

Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems. / Li, Ya Jun; Deng, Fei Qi.
Proceedings of the 2009 International Conference on Machine Learning and Cybernetics. IEEE Computer Society, 2009. p. 3667-3672 5212723 (Proceedings of the 2009 International Conference on Machine Learning and Cybernetics; Vol. 6).

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

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T1 - Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems

AU - Li, Ya Jun

AU - Deng, Fei Qi

PY - 2009

Y1 - 2009

N2 - Sufficient conditions of the mean-square exponential stability and stochastic robust stabilization are investigated for a class of uncertain impulsive stochastic systems by means of stochastic Lyapunov stability theory and Ito ? differential rule. All results in this paper are expressed in terms of linear matrix inequalities, and a numerical example is presented to illustrate the effectiveness of the proposed method.

AB - Sufficient conditions of the mean-square exponential stability and stochastic robust stabilization are investigated for a class of uncertain impulsive stochastic systems by means of stochastic Lyapunov stability theory and Ito ? differential rule. All results in this paper are expressed in terms of linear matrix inequalities, and a numerical example is presented to illustrate the effectiveness of the proposed method.

KW - Impulsive stochastic system

KW - Linear matrix inequality (LMI)

KW - Mean-square exponential stability

KW - Robustly stochastically stable

UR - https://www.scopus.com/pages/publications/70350741389

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DO - 10.1109/ICMLC.2009.5212723

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T3 - Proceedings of the 2009 International Conference on Machine Learning and Cybernetics

SP - 3667

EP - 3672

BT - Proceedings of the 2009 International Conference on Machine Learning and Cybernetics

PB - IEEE Computer Society

T2 - 8th International Conference on Machine Learning and Cybernetics, ICMLC 2009

Y2 - 12 July 2009 through 15 July 2009

ER -

Li YJ, Deng FQ. Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems. In Proceedings of the 2009 International Conference on Machine Learning and Cybernetics. IEEE Computer Society. 2009. p. 3667-3672. 5212723. (Proceedings of the 2009 International Conference on Machine Learning and Cybernetics). doi: 10.1109/ICMLC.2009.5212723

Exponential stability and H∞ performance for a class of uncertain impulsive stochastic systems

Abstract

Publication series

Conference

Keywords

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