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Stability of Complex-Valued Neural Networks with Two Additive Time-Varying Delay Components

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Advances in Neural Networks - ISNN 2017 (ISNN 2017)

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Abstract

In this paper, a class of complex-valued neural networks including two additive time-varying delay components has been discussed. By making use of the combinational Lyapunov-Krasovskii functional and free weighting matrix method, as well as matrix inequality technique, a delay-dependent criterion of stability is derived.

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References

  1. Chen, T.: Global exponential stability of delayed Hopfield neural networks. Neural Netw. 14, 977–980 (2001)

    Article  Google Scholar 

  2. Arik, S., Orman, Z.: Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys. Lett. A 341, 410–421 (2005)

    Article  MATH  Google Scholar 

  3. Song, Q., Cao, J.: Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays. IEEE Trans. Syst. Man Cybern. 37, 733–741 (2007)

    Article  Google Scholar 

  4. Kwon, O.M., Park, J.H.: New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays. Appl. Math. Comput. 205, 417–427 (2008)

    MathSciNet  MATH  Google Scholar 

  5. Weera, W., Niamsup, P.: Novel delay-dependent exponential stability criteria for neutral-type neural networks with non-differentiable time-varying discrete and neutral delays. Neurocomputing 173, 886–898 (2016)

    Article  Google Scholar 

  6. Zhao, Y., Gao, H., Mou, S.: Asymptotic stability analysis of neural networks with successive time delay components. Neurocomputing 71, 2848–2856 (2008)

    Article  Google Scholar 

  7. Shao, H., Han, Q.: New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Trans. Neural Netw. 22, 812–818 (2011)

    Article  Google Scholar 

  8. Xiao, N., Jia, Y.: New approaches on stability criteria for neural networks with two additive time-varying delay components. Neurocomputing 118, 150–156 (2013)

    Article  Google Scholar 

  9. Liu, Y., Lee, S.M., Lee, H.G.: Robust delay-depent stability criteria for uncertain neural networks with two additive time-varying delay components. Neurocomputing 151, 770–775 (2015)

    Article  Google Scholar 

  10. Hirose, A.: Dynamics of fully complex-valued neural networks. Electron. Lett. 28, 1492–1494 (1992)

    Article  Google Scholar 

  11. Lee, D.: Relaxation of the stability condition of the complex-valued neural networks. IEEE Trans. Neural Netw. 12, 1260–1262 (2001)

    Article  Google Scholar 

  12. Hu, J., Wang, J.: Global stability of complex-valued recurrent neural networks with time-delays. IEEE Trans. Neural Netw. Learn. Syst. 23, 853–865 (2012)

    Article  Google Scholar 

  13. Zhou, B., Song, Q.: Boundedness and complete stability of complex-valued neural networks with time delay. IEEE Trans. Neural Netw. Learn. Syst. 24, 1227–1238 (2013)

    Article  Google Scholar 

  14. Chen, X., Song, Q.: Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales. Neurocomputing 121, 254–264 (2013)

    Article  Google Scholar 

  15. Zhang, Z., Lin, C., Chen, B.: Global stability criterion for delayed complex-valued recurrent neural networks. IEEE Trans. Neural Netw. Learn. Syst. 25, 1704–1708 (2014)

    Article  Google Scholar 

  16. Liu, X., Chen, T.: Global exponential stability for complex-valued recurrent neural networks with asynchronous time delays. IEEE Trans. Neural Netw. Learn. Syst. 27, 593–606 (2016)

    Article  MathSciNet  Google Scholar 

  17. Bohner, M., Sree Hari Rao, V., Sanyal, S.: Global stability of complex-valued neural networks on time scales. Differ. Equ. Dyn. Syst. 19, 3–11 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  18. Fang, T., Sun, J.: Further investigate the stability of complex-valued recurrent neural networks with time-delays. IEEE Trans. Neural Netw. Learn. Syst. 25, 1709–1713 (2014)

    Article  Google Scholar 

  19. Song, Q., Zhao, Z., Liu, Y.: Impulsive effects on stability of discrete-time complex-valued neural networks with both discrete and distributed time-varying delays. Neurocomputing 168, 1044–1050 (2015)

    Article  Google Scholar 

  20. Song, Q., Yan, H., Zhao, Z., Liu, Y.: Global exponential stability of complex-valued neural networks with both time-varying delays and impulsive effects. Neural Netw. 79, 108–116 (2016)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants 61473332, 11402214, and 61673169 and the Program of Chongqing Innovation Team Project in University under Grant CXTDX201601022.

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Correspondence to Zhenjiang Zhao , Qiankun Song or Yuchen Zhao .

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Zhao, Z., Song, Q., Zhao, Y. (2017). Stability of Complex-Valued Neural Networks with Two Additive Time-Varying Delay Components. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_66

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  • DOI: https://doi.org/10.1007/978-3-319-59072-1_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

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