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Existence of Periodic Solution for Competitive Neural Networks with Time-Varying and Distributed Delays on Time Scales

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Advances in Neural Networks – ISNN 2013 (ISNN 2013)

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Abstract

In this paper, under the condition without assuming the boundedness of the activation functions, the competitive neural networks with time-varying and distributed delays are studied. By means of contraction mapping principle, the existence and uniqueness of periodic solution are investigated on time scales.

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Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry, (Ministry of Education), School of Science, Jiangnan University, Wuxi, 214122, P.R. China

    Yang Liu, Yongqing Yang, Tian Liang & Xianyun Xu

Authors
  1. Yang Liu
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  2. Yongqing Yang
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  3. Tian Liang
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  4. Xianyun Xu
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Editor information

Editors and Affiliations

  1. School of Information and Communication Engineering, Dalian University of Technology, A 530, Chuangxinyuan Building, 116023, Dalian, China

    Chengan Guo

  2. Institute of Automation, Chinese Academy of Sciences, 100864, Beijing, China

    Zeng-Guang Hou

  3. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Zhigang Zeng

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© 2013 Springer-Verlag Berlin Heidelberg

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Liu, Y., Yang, Y., Liang, T., Xu, X. (2013). Existence of Periodic Solution for Competitive Neural Networks with Time-Varying and Distributed Delays on Time Scales. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_23

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  • DOI: https://doi.org/10.1007/978-3-642-39065-4_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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