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

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
Pages	3667-3672
Number of pages	6
DOIs	https://doi.org/10.1109/ICMLC.2009.5212723
State	Published - 2009
Externally published	Yes
Event	2009 International Conference on Machine Learning and Cybernetics - 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	2009 International Conference on Machine Learning and Cybernetics
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

Access to Document

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). 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",

pages = "3667--3672",

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

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

}

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, pp. 3667-3672, 2009 International Conference on Machine Learning and Cybernetics, 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. 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

TY - GEN

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AU - Li, Ya Jun

AU - Deng, Fei Qi

PY - 2009

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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

U2 - 10.1109/ICMLC.2009.5212723

DO - 10.1109/ICMLC.2009.5212723

M3 - 会议稿件

AN - SCOPUS:70350741389

SN - 9781424437030

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

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

T2 - 2009 International Conference on Machine Learning and Cybernetics

Y2 - 12 July 2009 through 15 July 2009

ER -

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

Abstract

Publication series

Conference

Keywords

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