[1]姚娟,王为群,邹云.不确定二维离散状态滞后系统稳定性分析的[J].南京理工大学学报(自然科学版),2013,37(01):60.
 Yao Juan,Wang Weiqun,Zou Yun.Jensen inequality approach to stability analysis of uncertain twodimensional discrete systems with state delays[J].Journal of Nanjing University of Science and Technology,2013,37(01):60.
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不确定二维离散状态滞后系统稳定性分析的
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
37卷
期数:
2013年01期
页码:
60
栏目:
出版日期:
2013-02-28

文章信息/Info

Title:
Jensen inequality approach to stability analysis of uncertain twodimensional discrete systems with state delays
作者:
姚娟1王为群2邹云1
南京理工大学 1.自动化学院;2.理学院,江苏 南京 210094
Author(s):
Yao Juan1Wang Weiqun2Zou Yun1
1.School of Automation;2.School of Sciences,NUST,Nanjing 210094,China
关键词:
二维离散系统状态滞后系统滞后范围相关詹森不等式
Keywords:
twodimensional discrete systemsstatedelay systemsdelayrangedependenceJensen inequality
分类号:
TP13
摘要:
为了降低保守性,该文在FormasiniMachesini(FM)模型的基础上,研究了状态滞后二维(2D)系统的稳定性问题。通过构造合适的Lyapunov泛函,并借助Jensen积分不等式和线性矩阵不等式,得到了滞后范围相关的新的稳定性判据,并把它推广到不确定系统。数值算例验证了该文所提方法的有效性。
Abstract:
In order to reduce conservativeness,this paper considers the problem for uncertain twodimensional discrete statedelay systems described by the FormasiniMachesiniguaran model(FM Model).By employing an appropriate Lyapunov functional and using the discrete Jensen inequality,a new stability delayrangedependent criterion is presented in terms of linear matrix inequalities(LMIs),and the result is extended to the uncertain systems.Numerical examples are given to show the effectiveness of this method.

参考文献/References:

[1]Kaczorek T.Twodimensional linear systems[M].Berlin:SpringerVerlag,1985.
[2]杨成梧,杜春玲.2D系统理论进展[J].南京理工大学学报,1998,22(4):375-378. Yang Chengwu,Du Chunling.Advance in 2D system theory[J].Journal of Nanjing University of Science and Technology,1998,22(4):375-378.
[3]王为群,邹云.2D奇异时滞系统的稳定性[J].南京理工大学学报,2002,26(6):565-569. Wang Weiqun,Zouyun.Stability of 2D singular system with delays[J].Journal of Nanjing University of Science and Technology,2002,26(6):565-569.
[4]徐慧玲,邹云.一类不确定的2D非线性时滞系统的鲁棒能稳[J].信息与控制,2005,34(4):389-392. Xu Huiling,Zou Yun.Robust stabilization for a class of uncertain nonlinear 2D systems with state delays[J].Information and Control,2005,34(4):389-392.
[5]Paszke W,Lam J,Galkowski K,et al.Robust stability and stabilisation of 2D discrete statedelayed systems[J].Systems & Control Letters,2004,51(3-4):277-291.
[6]Xu Huiling,Guo Lei,Zou Yun,et al.Stability analysis for twodimensional discrete delayed systems described by General models[A].Proceedings of the 2007 IEEE International Conference on Control and Automation[C].Guangzhou,China:IEEE,2007.
[7]Wu Ligang,Wang Zidong,Gao Huijun,et al.Filtering for uncertain 2D discrete systems with state delays[J].Signal Processing,2007,87(9):2213-2230.
[8]Paszke W,Lam J,Galkowski K,et al.Delaydependent stability of 2D statedelayed linear systems[A].Proceedings of the International Symposium on Circuits and Systems[C].Island of Kos,Greece:IEEE,2006.
[9]Xu Jianming,Yu Li.Delaydependent H∞ control for 2D discrete state delay systems in the second FM model[J].Multidimensional Systems and Signal Processing,2009,20(4):333-349.
[10]Zhu Xunlin,Yang Guanghong.Jensen inequality approach to stability analysis of discretetime systems with timevarying delay[A].Proceedings of the American Control Conference[C].Washington,USA:IEEE,2008.
[11]Petersen I R,Hollot C V.A Riccati equation approach to the stabilization of uncertain linear systems[J].Automatica,1986,22(4):397-411.
[12]Feng Zhiyong,Xu Li,Wu Min,et al.Delaydependent robust stability and stabilisation of uncertain twodimensional discrete systems with timevarying delays[J].Control Theory & Applications,IET,2010,4(10):1959-1971.

备注/Memo

备注/Memo:
基金项目:国家自然科学基金(61074006;61174038)
作者简介:姚娟(1984-),女,博士生,主要研究方向:多维系统理论,Email:yaojuan0325@163.com;
通讯作者:王为群(1964-)女,博士,教授,博士生导师,主要研究方向:多维系统理论、奇异系统理论等,Email:weiqunwang@126.com。
更新日期/Last Update: 2013-02-15