時滯隨機系統的時滯相關穩定性

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時滯隨機系統的時滯相關穩定性

劉坤, 劉賀平, 趙立英

文章導航 > 工程科學學報 > 2009 > 31(4): 516-519

劉坤, 劉賀平, 趙立英. 時滯隨機系統的時滯相關穩定性[J]. 工程科學學報, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

引用本文:

劉坤, 劉賀平, 趙立英. 時滯隨機系統的時滯相關穩定性[J]. 工程科學學報, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

Citation:

LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

劉坤, 劉賀平, 趙立英. 時滯隨機系統的時滯相關穩定性[J]. 工程科學學報, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

引用本文:

劉坤, 劉賀平, 趙立英. 時滯隨機系統的時滯相關穩定性[J]. 工程科學學報, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

Citation:

LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. doi: 10.13374/j.issn1001-053x.2009.04.024

時滯隨機系統的時滯相關穩定性

doi: 10.13374/j.issn1001-053x.2009.04.024

1. 北京科技大學信息工程學院, 北京 100083;
2. 北京科技大學應用科學學院, 北京 100083

基金項目:

國家自然科學基金資助項目(No.60374032)

作者簡介:
劉坤(1982-),男,博士研究生;劉賀平(1951-),男,教授,博士生導師,E-mail:lhpjx@ies.ustb.edu.cn

中圖分類號: TP13
計量
- 文章訪問數: 152
- HTML全文瀏覽量: 22
- PDF下載量: 4
- 被引次數: 0
出版歷程
- 收稿日期: 2008-04-24
- 網絡出版日期: 2021-08-09

Delay-dependent stability of stochastic systems with time-varying delays

1. School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China;
2. School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China

摘要: 將自由權矩陣思想推廣到一類時滯隨機系統中,研究了其時滯相關穩定性問題.通過構造新的Lyapunov函數,引入適當的自由權矩陣,推導出系統漸近穩定的時滯相關的充分條件.所得結果完全基于線性矩陣不等式的形式給出,不需要對原系統模型進行變換.數值算例說明了方法的可行性.
- 隨機系統 /
- 時滯相關 /
- 自由權矩陣 /
- 線性矩陣不等式
Abstract: The idea of free-weighting matrices was extended to a class of stochastic systems with time-varying delays, and the delay-dependent stability of the stochastic systems was studied. By establishing a new Lyapunov function and introducing appropriate free-weighting matrices, a sufficient delay-dependent condition was proposed for the asymptotic stability of such a system. The result was in the form of linear matrix inequalities completely and model transformation was unnecessary. Two examples were given to illustrate the effectiveness of the proposed method.
- stochastic system /
- delay-dependent /
- free-weighting matrix /
- linear matrix inequality(LMI)

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文章訪問數: 152
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PDF下載量: 4
被引次數: 0

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