About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 731453, 21 pages
http://dx.doi.org/10.1155/2012/731453
Research Article

Event-Triggered State Estimation for a Class of Delayed Recurrent Neural Networks with Sampled-Data Information

College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China

Received 9 June 2012; Accepted 31 July 2012

Academic Editor: Sabri Arik

Copyright © 2012 Hongjie Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. S. Young, P. D. Scott, and N. M. Nasrabadi, “Object recognition using multilayer Hopfield neural network,” IEEE Transactions on Image Processing, vol. 6, no. 3, pp. 357–372, 1997. View at Scopus
  2. A. N. Michel, J. A. Farrell, and H.-F. Sun, “Analysis and synthesis techniques for Hopfield type synchronous discrete time neural networks with application to associative memory,” Institute of Electrical and Electronics Engineers, vol. 37, no. 11, pp. 1356–1366, 1990. View at Publisher · View at Google Scholar
  3. C. K. Ahn, “Robust stability of recurrent neural networks with ISS learning algorithm,” Nonlinear Dynamics, vol. 65, no. 4, pp. 413–419, 2011. View at Publisher · View at Google Scholar
  4. J. Liang and J. Cao, “Global output convergence of recurrent neural networks with distributed delays,” Nonlinear Analysis: Real World Applications, vol. 8, no. 1, pp. 187–197, 2007. View at Publisher · View at Google Scholar
  5. J. Cao and J. Wang, “Global asymptotic stability of a general class of recurrent neural networks with time-varying delays,” IEEE Transactions on Circuits and Systems, vol. 50, no. 1, pp. 34–44, 2003. View at Publisher · View at Google Scholar
  6. H. Zhang, Z. Liu, G. B. Huang, and Z. Wang, “Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay,” IEEE Transactions on Neural Networks, vol. 21, no. 1, pp. 91–106, 2010. View at Publisher · View at Google Scholar · View at Scopus
  7. J. Cao and L. Li, “Cluster synchronization in an array of hybrid coupled neural networks with delay,” Neural Networks, vol. 22, no. 4, pp. 335–342, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Cao, G. Chen, and P. Li, “Global synchronization in an array of delayed neural networks with hybrid coupling,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 38, no. 2, pp. 488–498, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. P. Balasubramaniam, R. Krishnasamy, and R. Rakkiyappan, “Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach,” Applied Mathematical Modelling, vol. 36, no. 5, pp. 2253–2261, 2012. View at Publisher · View at Google Scholar
  10. Z. Liu, H. Zhang, and Q. Zhang, “Novel stability analysis for recurrent neural networks with multiple delays via line integral-type L-K functional,” IEEE Transactions on Neural Networks, vol. 21, no. 11, pp. 1710–1718, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. J. H. Park and O. M. Kwon, “Global stability for neural networks of neutral-type with interval time-varying delays,” Chaos, Solitons and Fractals, vol. 41, no. 3, pp. 1174–1181, 2009. View at Publisher · View at Google Scholar
  12. J. H. Park, “On global stability criterion of neural networks with continuously distributed delays,” Chaos, Solitons and Fractals, vol. 37, no. 2, pp. 444–449, 2008. View at Publisher · View at Google Scholar
  13. Z. Wang, D. W. C. Ho, and X. Liu, “State estimation for delayed neural networks,” IEEE Transactions on Neural Networks, vol. 16, no. 1, pp. 279–284, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. J. H. Park and O. M. Kwon, “Design of state estimator for neural networks of neutral-type,” Applied Mathematics and Computation, vol. 202, no. 1, pp. 360–369, 2008. View at Publisher · View at Google Scholar
  15. J. H. Park and O. M. Kwon, “Further results on state estimation for neural networks of neutral-type with time-varying delay,” Applied Mathematics and Computation, vol. 208, no. 1, pp. 69–75, 2009. View at Publisher · View at Google Scholar
  16. Y. Liu, Z. Wang, and X. Liu, “State estimation for discrete-time Markovian jumping neural networks with mixed mode-dependent delays,” Physics Letters A, vol. 372, no. 48, pp. 7147–7155, 2008. View at Publisher · View at Google Scholar
  17. P. Balasubramaniam, S. Lakshmanan, and S. Jeeva Sathya Theesar, “State estimation for Markovian jumping recurrent neural networks with interval time-varying delays,” Nonlinear Dynamics, vol. 60, no. 4, pp. 661–675, 2010. View at Publisher · View at Google Scholar
  18. Z. Wang, Y. Liu, and X. Liu, “State estimation for jumping recurrent neural networks with discrete and distributed delays,” Neural Networks, vol. 22, no. 1, pp. 41–48, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. Y. Liu, Z. Wang, J. Liang, and X. Liu, “Synchronization and state estimation for discrete-time complex networks with distributed delays,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 38, no. 5, pp. 1314–1325, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. B. Shen, Z. Wang, and X. Liu, “Bounded H synchronization and state estimation for discrete time-varying stochastic complex networks over a finite horizon,” IEEE Transactions on Neural Networks, vol. 22, no. 1, pp. 145–157, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. H. Huang, G. Feng, and J. Cao, “Robust state estimation for uncertain neural networks with time-varying delay,” IEEE Transactions on Neural Networks, vol. 19, no. 8, pp. 1329–1339, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. X. Liu and J. Cao, “Robust state estimation for neural networks with discontinuous activations,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 40, no. 6, pp. 1425–1437, 2010. View at Scopus
  23. H. Bao and J. Cao, “Robust state estimation for uncertain stochastic bidirectional associative memory networks with time-varying delays,” Physica Scripta, vol. 83, no. 6, Article ID 065004, 2011. View at Publisher · View at Google Scholar · View at Scopus
  24. H. Bao and J. Cao, “Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay,” Neural Networks, vol. 24, no. 1, pp. 19–28, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. H. Huang, G. Feng, and J. Cao, “Guaranteed performance state estimation of static neural networks with time-varying delay,” Neurocomputing, vol. 74, no. 4, pp. 606–616, 2011. View at Publisher · View at Google Scholar · View at Scopus
  26. E. Fridman, U. Shaked, and V. Suplin, “Input/output delay approach to robust sampled-data H control,” Systems & Control Letters, vol. 54, no. 3, pp. 271–282, 2005. View at Publisher · View at Google Scholar
  27. N. Li, J. Hu, J. Hu, and L. Li, “Exponential state estimation for delayed recurrent neural networks with sampled-data,” Nonlinear Dynamics, vol. 69, pp. 555–564, 2012.
  28. N. Li, Y. Zhang, J. Hu, and Z. Nie, “Synchronization for general complex dynamical networks with sampled-data,” Neurocomputing, vol. 74, no. 5, pp. 805–811, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. H. Gao, J. Wu, and P. Shi, “Robust sampled-data H control with stochastic sampling,” Automatica, vol. 45, no. 7, pp. 1729–1736, 2009. View at Publisher · View at Google Scholar · View at Scopus
  30. B. Shen, Z. Wang, and X. Liu, “A stochastic sampled-data approach to distributed H filtering in sensor networks,” IEEE Transactions on Circuits and Systems, vol. 58, no. 9, pp. 2237–2246, 2011. View at Publisher · View at Google Scholar
  31. B. Shen, Z. Wang, and X. Liu, “Sampled-data synchronization control of dynamical networks with stochastic sampling,” . In press.
  32. D. Yue, E. Tian, and Q. Han, “A delay system method to design of event-triggered control of networked control systems,” in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC '11), pp. 1668–1673, Institute of Electrical and Electronics Engineers, Orlando, Fla, USA, December 2011.
  33. S. Hu and D. Yue, “Event-triggered control design of linear networked systems with quantizations,” ISA Transactions, vol. 51, pp. 153–162, 2012. View at Publisher · View at Google Scholar
  34. S. Hu and D. Yue, “L2-gain analysis of event-triggered networked control systems: a discontinuous lyapunov functionalapproach,” International Journal of Robust and Nonlinear Control. In press.
  35. Z. Liu and Z. Chen, “Event-triggered average-consensus for multi-agent systems,” in Proceedings of the 29th Chinese Control Conference (CCC '10), pp. 4506–4511, July 2010. View at Scopus
  36. D. V. Dimarogonas and K. H. Johansson, “Event-triggered control for multi-agent systems,” in Proceedings of the 48th IEEE Conference on Decision and Control Held Jointly with 28th Chinese Control Conference (CDC/CCC '09), pp. 7131–7136, Shanghai, China, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  37. D. V. Dimarogonas and E. Frazzoli, “Distributed event-triggered control strategies for multi-agent systems,” in Proceedings of the 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton '09), pp. 906–910, Monticello, Ill, USA, October 2009. View at Publisher · View at Google Scholar · View at Scopus
  38. D. Yue, E. Tian, and Y. Zhang, “A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay,” International Journal of Robust and Nonlinear Control, vol. 19, no. 13, pp. 1493–1518, 2009. View at Publisher · View at Google Scholar
  39. D. Yue, E. Tian, Y. Zhang, and C. Peng, “Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 2, pp. 503–516, 2009. View at Publisher · View at Google Scholar · View at Scopus
  40. C. Peng and Y.-C. Tian, “Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay,” Journal of Computational and Applied Mathematics, vol. 214, no. 2, pp. 480–494, 2008. View at Publisher · View at Google Scholar
  41. Y. Liu, Z. Wang, and X. Liu, “Global exponential stability of generalized recurrent neural networks with discrete and distributed delays,” Neural Networks, vol. 19, no. 5, pp. 667–675, 2006. View at Publisher · View at Google Scholar · View at Scopus