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Stability Criteria for RNNs Based on Secondary Delay Partitioning

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Book cover Qualitative Analysis and Control of Complex Neural Networks with Delays

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 34))

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Abstract

Chapter 4 has presented a new way to establish the delay-dependent stability results for RNNs with delay. The main feature of the method in Chap. 4 is to split the time delay with fixed intervals by inserting some virtual sampling points or weighting coefficients, which leads to the nonuniformly changeable subintervals. In this chapter, we will present another method to decompose the interval of time delay and change the sizes of the subintervals. This new method is called the secondary delay partitioning method, and the effectiveness of the established stability result is verified by a numerical simulation. The contents of this chapter are mainly from the result in [26].

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, China

    Zhanshan Wang & Zhenwei Liu

  2. Department of Mathematics, Dalian Jiaotong University, Dalian, China

    Chengde Zheng

Authors
  1. Zhanshan Wang
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  2. Zhenwei Liu
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  3. Chengde Zheng
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Correspondence to Zhanshan Wang .

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© 2016 Science Press, Beijing and Springer-Verlag Berlin Heidelberg

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Wang, Z., Liu, Z., Zheng, C. (2016). Stability Criteria for RNNs Based on Secondary Delay Partitioning. In: Qualitative Analysis and Control of Complex Neural Networks with Delays. Studies in Systems, Decision and Control, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47484-6_5

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  • DOI: https://doi.org/10.1007/978-3-662-47484-6_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-47483-9

  • Online ISBN: 978-3-662-47484-6

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