Skip to main content
Have a personal or library account? Click to login
Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality Cover

Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

Open Access
|Mar 2013

References

  1. Ahmad, S. and Stamova, I. (2008). Global exponential stability for impulsive cellular neural networks with time-varying delays,(3): 786-795.
  2. Cao, J. and Xiao, M. (2007). Stability and Hopf bifurcation in a simplified BAM neural network with two time delays,(2): 416-430.
  3. Chen, T. (2001). Global exponential stability of delayed Hopfield neural networks,(8): 977-980.
  4. Chua, L. and Yang, L. (1988a). Cellular neural networks: Applications,(10): 1273-1290.
  5. Chua, L. and Yang, L. (1988b). Cellular neural networks: Theory,(10): 1257-1272.
  6. Civalleri, P., Gilli, M. and Pandolfi, L. (1993). On stability of cellular neural networks with delay,(3): 157-165.
  7. Gopalsamy, K. and He, X. (1994). Stability in asymmetric Hopfield nets with transmission delays,(4): 344-358.
  8. Halanay, A. (1966)., Academic Press, New York, NY.
  9. He, Y., Wang, Q., Wu, M. and Lin, C. (2006). Delay-dependent state estimation for delayed neural networks,(4): 1077-1081.
  10. Ho, D., Liang, J. and Lam, J. (2006). Global exponential stability of impulsive high-order BAM neural networks with time-varying delays,(10): 1581-1590.
  11. Huang, Z. and Yang, Q. (2010). Exponential stability of impulsive high-order cellular neural networks with time-varying delays,(1): 592-600.
  12. Khadra, A., Liu, X. and Shen, X. (2009). Analyzing the robustness of impulsive synchronization coupled by linear delayed impulses,(4): 923-928.
  13. Li, C., Feng, G. and Huang, T. (2008). On hybrid impulsive and switching neural networks,(6): 1549-1560.
  14. Li, X. (2010). Global exponential stability of delay neural networks with impulsive perturbations,(1): 107-122.
  15. Liu, X., Shen, X., Zhang, Y. and Wang, Q. (2007). Stability criteria for impulsive systems with time delay and unstable system matrices,(10): 2288-2298.
  16. Liu, X., Teo, K. and Xu, B. (2005). Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays,(6): 1329-1339.
  17. Liu, X. and Wang, Q. (2008). Impulsive stabilization of high-order Hopfield-type neural networks with time-varying delays,(1): 71-79.
  18. Liu, Y., Zhao, S. and Lu, J. (2011). A new fuzzy impulsive control of chaotic systems based on T-S fuzzy model,(2): 393-398.
  19. Lou, X. and Cui, B. (2007). Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays,(1): 144-158.
  20. Lu, J., Ho, D. and Cao, J. (2010). A unified synchronization criterion for impulsive dynamical networks,(7): 1215-1221.
  21. Lu, J., Ho, D., Cao, J. and Kurths, J. (2011). Exponential synchronization of linearly coupled neural networks with impulsive disturbances,(2): 329-336.
  22. Lu, J., Kurths, J., Cao, J., Mahdavi, N. and Huang, C. (2012). Synchronization control for nonlinear stochastic dynamical networks: Pinning impulsive strategy,(2): 285-292.
  23. Raja, R., Sakthivel, R., Anthoni, S.M. and Kim, H. (2011). Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays,(1): 127-135, DOI: 10.2478/v10006-011-0009-y.
  24. Ren, F. and Cao, J. (2006). LMI-based criteria for stability of high-order neural networks with time-varying delay,(5): 967-979.
  25. Rong, L. (2005). LMI approach for global periodicity of neural networks with time-varying delays,(7): 1451-1458.
  26. Sakthivel, R., Raja, R. and Anthoni, S. (2011). Exponential stability for delayed stochastic bidirectional associative memory neural networks with markovian jumping and impulses,(1): 166-187.
  27. Sakthivel, R., Samidurai, R. and Anthoni, S. (2010a). Asymptotic stability of stochastic delayed recurrent neural networks with impulsive effects,(3): 583-596.
  28. Sakthivel, R., Samidurai, R. and Anthoni, S. (2010b). Exponential stability for stochastic neural networks of neutral type with impulsive effects,(11): 1099-1110.
  29. Sakthivel, R., Raja, R. and Anthoni, S. (2010c). Asymptotic stability of delayed stochastic genetic regulatory networks with impulses,(5): 055009.
  30. Stamova, I. and Ilarionov, R. (2010). On global exponential stability for impulsive cellular neural networks with time-varying delays,(11): 3508-3515.
  31. Stamova, I., Ilarionov, R. and Vaneva, R. (2010). Impulsive control for a class of neural networks with bounded and unbounded delays,(1): 285-290.
  32. Tian, Y., Yu, X. and Chua, L. (2004). Time-delayed impulsive control of chaotic hybrid systems,(3): 1091-1104.
  33. van den Driessche, P. and Zou, X. (1998). Global attractivity in delayed Hopfield neural network models,(6): 1878-1890.
  34. Wallis, G. (2005). Stability criteria for unsupervised temporal association networks,(2): 301-311.
  35. Wang, Q. and Liu, X. (2007). Exponential stability of impulsive cellular neural networks with time delay via Lyapunov functionals,(1): 186-198.
  36. Weng, A. and Sun, J. (2009). Impulsive stabilization of second-order nonlinear delay differential systems,(1): 95-101.
  37. Wu, B., Liu, Y. and Lu, J. (2011). Impulsive control of chaotic systems and its applications in synchronization,(5): 050508.
  38. Wu, B., Liu, Y. and Lu, J. (2012a). New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays,(3-4): 837-843.
  39. Wu, B., Han, J. and Cai, X. (2012b). On the practical stability of impulsive differential equations with infinite delay in terms of two measures,: 434137.
  40. Xu, B., Liu, X. and Liao, X. (2003). Global asymptotic stability of high-order hopfield type neural networks with time delays,(10-11): 1729-1737.
  41. Xu, B., Liu, X. and Teo, K. (2009). Asymptotic stability of impulsive high-order hopfield type neural networks,(11-12): 1968-1977.
  42. Xu, B., Xu, Y. and He, L. (2011). LMI-based stability analysis of impulsive high-order Hopfield-type neural networks,, DOI: 10.1016/j.matcom.2011.02.008.
  43. Yang, T. and Chua, L. (1997). Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication,(10): 976-988.
  44. Yang, Z. and Xu, D. (2005). Stability analysis of delay neural networks with impulsive effects,(8): 517-521.
  45. Yang, Z. and Xu, D. (2007). Stability analysis and design of impulsive control systems with time delay,(8): 1448-1454.
  46. Yue, D., Xu, S. and Liu, Y. (1999). Differential inequality with delay and impulse and its applications to design robust control,(4): 519-524.
  47. Zhang, H., Ma, T., Huang, G. and Wang, Z. (2010). Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control,(3): 831-844.
  48. Zhang, Q., Yang, L. and Liao, D. (2011). Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays,(4): 649-658, DOI: 10.2478/v10006-011-0051-9.
  49. Zhang, Y. and Sun, J. (2010). Stability of impulsive linear hybrid systems with time delay,(4): 738-747.
  50. Zheng, C., Zhang, H. and Wang, Z. (2011). Novel exponential stability criteria of high-order neural networks with time-varying delays,(2): 486-496.
  51. Zhou, J. and Wu, Q. (2009). Exponential stability of impulsive delayed linear differential equations,(9): 744-748.
DOI: https://doi.org/10.2478/amcs-2013-0016 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 201 - 211
Published on: Mar 26, 2013
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2013 Yang Liu, Rongjiang Yang, Jianquan Lu, Bo Wu, Xiushan Cai, published by University of Zielona Góra
This work is licensed under the Creative Commons License.