|Table of Contents|

Jensen inequality approach to stability analysis of uncertain twodimensional discrete systems with state delays


Research Field:
Publishing date:


Jensen inequality approach to stability analysis of uncertain twodimensional discrete systems with state delays
Yao Juan1Wang Weiqun2Zou Yun1
1.School of Automation;2.School of Sciences,NUST,Nanjing 210094,China
twodimensional discrete systemsstatedelay systemsdelayrangedependenceJensen inequality
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.


[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.


Last Update: 2013-02-15