Stability of switched neural networks with time delay
详细信息    查看全文
  • 作者:Chao Liu (1)
    Wanping Liu (1)
    Xiaoyang Liu (1)
    Chuandong Li (2)
    Qi Han (3)

    1. School of Computer Science and Engineering
    ; Chongqing University of Technology ; Chongqing ; 400054 ; People鈥檚 Republic of China
    2. College of Electronic and Information Engineering
    ; Southwest University ; Chongqing ; 400715 ; People鈥檚 Republic of China
    3. School of Electrical and Information Engineering
    ; Chongqing University of Science and Technology ; Chongqing ; 401331 ; People鈥檚 Republic of China
  • 关键词:Stability ; Switched neural network ; Time delay ; Multiple Lyapunov function
  • 刊名:Nonlinear Dynamics
  • 出版年:2015
  • 出版时间:February 2015
  • 年:2015
  • 卷:79
  • 期:3
  • 页码:2145-2154
  • 全文大小:338 KB
  • 参考文献:1. Liao, X.F., Wu, Z.F., Yu, J.B.: Stability switches and bifurcation analysis of a neural network with continuously delay. IEEE Trans. Syst. Man Cybern. 29(6), 692鈥?96 (1999) CrossRef
    2. Chen, A.P., Cao, J.D., Huang, L.H.: Exponential stability of BAM neural networks with transmission delays. Neurocomputing 57, 435鈥?54 (2004) CrossRef
    3. Li, C.D., Shen, Y.Y., Feng, G.: Stabilizing effects of impulses in delayed BAM neural networks. IEEE Trans. Circuits Syst. 55(12), 1284鈥?288 (2008) CrossRef
    4. Han, Q., Liao, X.F., Li, C.D.: Analysis of associative memories based on stability of cellular neural networks with time delay. Neural Comput. Appl. 23(1), 237鈥?44 (2013) CrossRef
    5. Liu, C., Li, C.D., Liao, X.F.: Variable-time impulses in BAM neural networks with delays. Neurocomputing 74(7), 3286鈥?295 (2011) CrossRef
    6. Liu, X.Y., Ho, D.W.C., Yu, W.W., Cao, J.D.: A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks. Neural Netw. 57, 94鈥?02 (2014) CrossRef
    7. Cao, J.D., Wan, Y.: Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays. Neural Netw. 53, 165鈥?72 (2014) CrossRef
    8. Wang, L., Cao, J.D.: Global robust point dissipativity of interval neural networks with mixed time-varying delays. Nonlinear Dyn. 55(1鈥?), 169鈥?78 (2009) CrossRef
    9. Cao, J.D., Alofi, A., Al-Mazrooei, A., Elaiw, A.: Synchronization of switched interval networks and applications to chaotic neural networks. In: Abstract and Applied Analysis, vol. 2013, Article ID 940573, p. 11
    10. Li, C.J., Li, C.D., Huang, T.W., Liao, X.F.: Impulsive effects on stability of high-order BAM neural networks with time delays. Neurocomputing 74(10), 1541鈥?550 (2011) CrossRef
    11. Cao, J.D., Ho, D.W.C., Huang, X.: LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay. Nonlinear Anal. Ser. A 66(7), 1558鈥?572 (2007) CrossRef
    12. Park, J.H., Kwon, O.M.: Delay-dependent stability criterion for bidirectional associative memory neural networks with interval time-varying delays. Mod. Phys. Lett. B 23(1), 35鈥?6 (2009) CrossRef
    13. Zhang, G.D., Shen, Y.: Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control. Neural Netw. 55, 1鈥?0 (2014) CrossRef
    14. Zhang, G.D., Shen, Y., Wang, L.M.: Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays. Neural Netw. 46, 1鈥? (2013) CrossRef
    15. Zhang, G.D., Shen, Y.: New algebraic criteria for synchronization stability of chaotic memristive neural networks with time-varying delays. IEEE Trans. Neural Netw. Learn. Syst. 24(10), 1701鈥?707 (2013) CrossRef
    16. Sun, Z.D., Ge, S.S.: Switched Linear System-Control and Design. Springer, London (2005) CrossRef
    17. Liberzon, D.: Switching in Systems and Control. Birkhauser, Boston (2003) CrossRef
    18. Sun, Y.S., Wang, L.: On stability of a class of switched nonlinear systems. Automatica 49(1), 305鈥?07 (2013) CrossRef
    19. Chen, W.H., Zheng, W.X.: Delay-independent minimum dwell time for exponential stability of uncertain switched delay systems. IEEE Trans. Automatic Control 55(10), 2406鈥?413 (2010) CrossRef
    20. Sun, X.M., Wang, W., Liu, G.P., Zhao, J.: Stability analysis for linear switched systems with time-varying delay. IEEE Trans. Syst. Man Cybern. 38(2), 528鈥?33 (2008) CrossRef
    21. Yan, P., Oezbay, H.: Stability analysis of switched time delay systems. SIAM J Control Optim. 47(2), 936鈥?49 (2008) CrossRef
    22. Ann, C.K.: An Hline-equation id-i-eq214"> \(\infty \) approach to stability analysis of switched Hopfield neural networks with time-delay. Nonlinear Dyn. 60(4), 703鈥?11 (2010) CrossRef
    23. Lian, J., Zhang, K., Feng, Z.: Stability analysis for switched Hopfield neural networks with time delay. Optim. Control Appl. Methods 33(4), 433鈥?44 (2012) CrossRef
    24. Liu, D.Y., Liu, X.Z., Zhong, S.M.: Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays. Appl. Math. Comput. 202(2), 828鈥?39 (2008) CrossRef
    25. Huang, H., Qu, Y.Z., Li, H.X.: Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty. Phys. Lett. A 345(4鈥?), 345鈥?54 (2005) CrossRef
    26. Yuan, K., Cao, J.D., Li, H.X.: Robust stability of switched Cohen鈥揋rossberg neural networks with mixed time-varying delays. IEEE Trans. Syst. Man Cybern. 36(6), 1356鈥?363 (2006) CrossRef
    27. Li, P., Cao, J.D.: Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure. Nonlinear Dyn. 49(1鈥?), 295鈥?05 (2007) CrossRef
    28. Zhang, H.G., Liu, Z.W., Huang, G.B.: Novel delay-dependent robust stability analysis for switched neutral-type neural networks with time-varying delays via SC technique. IEEE Trans. Syst. Man Cybern. 40(6), 1480鈥?491 (2010) CrossRef
    29. Zhu, E.W., Wang, Y., Wang, Y.H., Zhang, H.J., Zou, J.Z.: Stability analysis of recurrent neural networks with random delay and Markovian switching. J. Inequalities Appl. 2010, 1鈥?2 (2010)
    30. Wu, L.G., Feng, Z.G., Zheng, W.X.: Exponential stability analysis for delayed neural networks with switching parameters: average dwell time approach. IEEE Trans. Neural Netw. 21(9), 1396鈥?407 (2010) CrossRef
    31. Hu, M.F., Cao, J.D., Yang, Y.Q., Hu, A.H.: Passivity analysis for switched generalized neural networks with time-varying delay and uncertain output. IMA J. Math. Control Inf. 30(3), 407鈥?22 (2013)
    32. Wu, X.T., Tang, Y., Zhang, W.B.: Stability analysis of switched stochastic neural networks with time-varying delays. Neural Netw. 51, 39鈥?9 (2014) CrossRef
    33. Wu, Z.G., Shi, P., Su, H.G., Chu, J.: Delay-dependent exponential stability analysis for discrete-time switched neural networks with time-varying delay. Neurocomputing 74(10), 1626鈥?631 (2011) CrossRef
    34. Hou, L.L., Zong, G.D., Wu, Y.Q.: Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay. Nonlinear Anal. 5(3), 525鈥?34 (2011)
    35. Arunkumar, A., Sakthivel, R., Mathiyalagan, K., Anthoni, S.M.: Robust stability criteria for discrete-time switched neural networks with various activation functions. Appl. Math. Comput. 218(22), 10803鈥?0816 (2012) CrossRef
    36. Liu, Y.R., Wang, Z.D., Liang, J.L., Liu, X.H.: Stability and synchronization of discrete-time markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans. Neural Netw. 20(7), 1102鈥?116
    37. Lian, J., Zhang, K.: Exponential stability for switched Cohen鈥揋rossberg neural networks with average dwell time. Nonlinear Dyn. 63(3), 331鈥?43 (2011) CrossRef
    38. Wu, Z.G., Shi, P., Su, H.Y., Chu, J.: Delay-dependent stability analysis for switched neural networks with time-varying delay. IEEE Trans. Syst. Man Cybern. 41(6), 1522鈥?530 (2011) CrossRef
    39. Fu, X.L., Yan, B.Q., Liu, Y.S.: Nonlinear Impulsive Differential Systems. Science Press, Beijing (2008)
  • 刊物类别:Engineering
  • 刊物主题:Vibration, Dynamical Systems and Control
    Mechanics
    Mechanical Engineering
    Automotive and Aerospace Engineering and Traffic
  • 出版者:Springer Netherlands
  • ISSN:1573-269X
文摘
In this paper, we consider the stability of switched neural networks with time delay. Some exponentially stable criteria are given by introducing multiple Lyapunov functions. Compared with the previous results, the proposed criteria are convenient and can reflect the impact of dwell time and time delay on the stability of switched neural networks. Finally, two examples are given to illustrate the effectiveness of the proposed results.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700