Please wait a minute...
Chin. Phys. B, 2009, Vol. 18(12): 5203-5211    DOI: 10.1088/1674-1056/18/12/017
GENERAL Prev   Next  

A delay-decomposition approach for stability of neural network with time-varying delay

Qiu Fang(邱芳)a)b), Cui Bao-Tong (崔宝同)a), and Ji Yan(籍艳)a)
a College of Communications and Control Engineering, Jiangnan University, Wuxi 214122, China; b Department of Mathematics, Binzhou University, Binzhou 256603, China
Abstract  This paper studies delay-dependent asymptotical stability problems for the neural system with time-varying delay. By dividing the whole interval into multiple segments such that each segment has a different Lyapunov matrix, some improved delay-dependent stability conditions are derived by employing an integral equality technique. A numerical example is given to demonstrate the effectiveness and less conservativeness of the proposed methods.
Keywords:  neural system      global asymptotical stability      time-varying delay  
Received:  01 April 2009      Revised:  19 May 2009      Accepted manuscript online: 
PACS:  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
  02.10.Yn (Matrix theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60674026) and the Natural Science Foundation of Jiangsu Province of China (Grant No BK2007016).

Cite this article: 

Qiu Fang(邱芳), Cui Bao-Tong (崔宝同), and Ji Yan(籍艳) A delay-decomposition approach for stability of neural network with time-varying delay 2009 Chin. Phys. B 18 5203

[1] Consensus of multiple autonomous underwater vehicles with double independent Markovian switching topologies and timevarying delays
Zhe-Ping Yan(严浙平), Yi-Bo Liu(刘一博), Jia-Jia Zhou(周佳加), Wei Zhang(张伟), Lu Wang(王璐). Chin. Phys. B, 2017, 26(4): 040203.
[2] Robust H control of uncertain systems with two additive time-varying delays
M. Syed Ali, R. Saravanakumar. Chin. Phys. B, 2015, 24(9): 090202.
[3] Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control
R. Rakkiyappan, R. Sivasamy, S. Lakshmanan. Chin. Phys. B, 2014, 23(6): 060504.
[4] Stability analysis of Markovian jumping stochastic Cohen–Grossberg neural networks with discrete and distributed time varying delays
M. Syed Ali. Chin. Phys. B, 2014, 23(6): 060702.
[5] Robust H cluster synchronization analysis of Lurie dynamical networks
Guo Ling (郭凌), Nian Xiao-Hong (年晓红), Pan Huan (潘欢), Bing Zhi-Tong (邴志桐). Chin. Phys. B, 2014, 23(4): 040501.
[6] Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays
R. Rakkiyappan, N. Sakthivel, S. Lakshmanan. Chin. Phys. B, 2014, 23(2): 020205.
[7] Improved delay-dependent robust H control of an uncertain stochastic system with interval time-varying and distributed delays
M. Syed Ali, R. Saravanakumar. Chin. Phys. B, 2014, 23(12): 120201.
[8] Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay
Wang Jun-Yi (王军义), Zhang Hua-Guang (张化光), Wang Zhan-Shan (王占山), Liang Hong-Jing (梁洪晶). Chin. Phys. B, 2013, 22(9): 090504.
[9] Leader–following consensus control for networked multi-teleoperator systems with interval time-varying communication delays
M. J. Park, S. M. Lee, J. W. Son, O. M. Kwon, E. J. Cha. Chin. Phys. B, 2013, 22(7): 070506.
[10] H synchronization of chaotic neural networks with time-varying delays
O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha. Chin. Phys. B, 2013, 22(11): 110504.
[11] Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes
Wang Shu-Guo(王树国) and Yao Hong-Xing(姚洪兴) . Chin. Phys. B, 2012, 21(5): 050508.
[12] Further improvement of the Lyapunov functional and the delay-dependent stability criterion for a neural network with a constant delay
Qiu Fang(邱芳), Zhang Quan-Xin(张全信), and Deng Xue-Hui(邓学辉) . Chin. Phys. B, 2012, 21(4): 040701.
[13] Cluster projective synchronization of complex networks with nonidentical dynamical nodes
Yao Hong-Xing (姚洪兴), Wang Shu-Guo (王树国 ). Chin. Phys. B, 2012, 21(11): 110506.
[14] Robust stability analysis of Takagi–Sugeno uncertain stochastic fuzzy recurrent neural networks with mixed time-varying delays
M. Syed Ali . Chin. Phys. B, 2011, 20(8): 080201.
[15] New results on stability criteria for neural networks with time-varying delays
O.M. Kwon, J.W. Kwon, and S.H. Kim. Chin. Phys. B, 2011, 20(5): 050505.
No Suggested Reading articles found!