Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching

Hongliang Liu; Guangren Duan

doi:10.1109/CHICC.2008.4605652

Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching

Hongliang Liu^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

3 Scopus citations

Abstract

The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results, with less conversations.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	798-800
Number of pages	3
DOIs	https://doi.org/10.1109/CHICC.2008.4605652
State	Published - 2008
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan, China Duration: 16 Jul 2008 → 18 Jul 2008

Publication series

Name	Proceedings of the 27th Chinese Control Conference, CCC

Conference

Conference	27th Chinese Control Conference, CCC
Country/Territory	China
City	Kunming, Yunnan
Period	16/07/08 → 18/07/08

Keywords

Exponential stability in mean square
Markovian switching
Nonlinear ito differential systems
Time-delay

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10.1109/CHICC.2008.4605652

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@inproceedings{f1db9cbd58cd46d68523ed8bdf5a0a0f,

title = "Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching",

abstract = "The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results, with less conversations.",

keywords = "Exponential stability in mean square, Markovian switching, Nonlinear ito differential systems, Time-delay",

author = "Hongliang Liu and Guangren Duan",

year = "2008",

doi = "10.1109/CHICC.2008.4605652",

language = "英语",

isbn = "9787900719706",

series = "Proceedings of the 27th Chinese Control Conference, CCC",

pages = "798--800",

booktitle = "Proceedings of the 27th Chinese Control Conference, CCC",

note = "27th Chinese Control Conference, CCC ; Conference date: 16-07-2008 Through 18-07-2008",

}

Liu, H & Duan, G 2008, Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching. in Proceedings of the 27th Chinese Control Conference, CCC., 4605652, Proceedings of the 27th Chinese Control Conference, CCC, pp. 798-800, 27th Chinese Control Conference, CCC, Kunming, Yunnan, China, 16/07/08. https://doi.org/10.1109/CHICC.2008.4605652

Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching. / Liu, Hongliang; Duan, Guangren.
Proceedings of the 27th Chinese Control Conference, CCC. 2008. p. 798-800 4605652 (Proceedings of the 27th Chinese Control Conference, CCC).

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

TY - GEN

T1 - Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching

AU - Liu, Hongliang

AU - Duan, Guangren

PY - 2008

Y1 - 2008

N2 - The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results, with less conversations.

AB - The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results, with less conversations.

KW - Exponential stability in mean square

KW - Markovian switching

KW - Nonlinear ito differential systems

KW - Time-delay

UR - https://www.scopus.com/pages/publications/52449104933

U2 - 10.1109/CHICC.2008.4605652

DO - 10.1109/CHICC.2008.4605652

M3 - 会议稿件

AN - SCOPUS:52449104933

SN - 9787900719706

T3 - Proceedings of the 27th Chinese Control Conference, CCC

SP - 798

EP - 800

BT - Proceedings of the 27th Chinese Control Conference, CCC

T2 - 27th Chinese Control Conference, CCC

Y2 - 16 July 2008 through 18 July 2008

ER -

Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching

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Keywords

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