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Robust Exponential Stability of Switched Complex-Valued Neural Networks with Interval Parameter Uncertainties and Impulses

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  • Xiaohui Xu
  • Huanbin Xue
  • Yiqiang Peng
  • Quan Xu
  • Jibin Yang

Abstract

In this paper, dynamic behavior analysis has been discussed for a class of switched complex-valued neural networks with interval parameter uncertainties and impulse disturbance. Sufficient conditions for guaranteeing the existence, uniqueness, and global robust exponential stability of the equilibrium point have been obtained by using the homomorphism mapping theorem, the scalar Lyapunov function method, the average dwell time method, and M-matrix theory. Since there is no result concerning the stability problem of switched neural networks defined in complex number domain, the stability results we describe in this paper generalize the existing ones. The effectiveness of the proposed results is illustrated by a numerical example.

Suggested Citation

  • Xiaohui Xu & Huanbin Xue & Yiqiang Peng & Quan Xu & Jibin Yang, 2018. "Robust Exponential Stability of Switched Complex-Valued Neural Networks with Interval Parameter Uncertainties and Impulses," Complexity, Hindawi, vol. 2018, pages 1-12, December.
    • Handle: RePEc:hin:complx:4981812
    DOI: 10.1155/2018/4981812
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    References listed on IDEAS

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    1. Xiaohui Xu & Huanbin Xue & Yiqiang Peng & Jiye Zhang, 2018. "Robust Exponential Stability Analysis of Switched Neural Networks with Interval Parameter Uncertainties and Time Delays," Complexity, Hindawi, vol. 2018, pages 1-16, September.
    2. Gao, Lijun & Wang, Dandan & Wang, Gang, 2015. "Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 186-200.
    3. Ruofeng Rao & Gaozhi Tang & Jiuqi Gong & Xiaoyan Wan & Guanghong Wu & Qiao Zhang & Shouming Zhong, 2018. "Robust Stability of Nonlinear Diffusion Fuzzy Neural Networks with Parameter Uncertainties and Time Delays," Complexity, Hindawi, vol. 2018, pages 1-19, July.
    4. Xu, Quan & Xu, Xiaohui & Zhuang, Shengxian & Xiao, Jixue & Song, Chunhua & Che, Chang, 2018. "New complex projective synchronization strategies for drive-response networks with fractional complex-variable dynamics," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 552-566.
    5. Xiaohui Xu & Jiye Zhang & Quan Xu & Zilong Chen & Weifan Zheng, 2017. "Impulsive Disturbances on the Dynamical Behavior of Complex-Valued Cohen-Grossberg Neural Networks with Both Time-Varying Delays and Continuously Distributed Delays," Complexity, Hindawi, vol. 2017, pages 1-12, October.
    6. Ning Li & Jinde Cao, 2016. "Passivity and robust synchronisation of switched interval coupled neural networks with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2827-2836, September.
    7. Yongzhao Wang, 2018. "Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching," Complexity, Hindawi, vol. 2018, pages 1-11, August.
    8. Xiaohui Xu & Jiye Zhang & Jizhong Shi, 2017. "Dynamical behaviour analysis of delayed complex-valued neural networks with impulsive effect," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 686-694, March.
    9. Chen, Xiaofeng & Zhao, Zhenjiang & Song, Qiankun & Hu, Jin, 2017. "Multistability of complex-valued neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 18-35.
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    Cited by:

    1. Xiaohui Xu & Jibin Yang & Yanhai Xu, 2019. "Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays," Complexity, Hindawi, vol. 2019, pages 1-20, June.

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