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Qualitative Analysis and Control of Complex Neural Networks with Delays pp 259–276Cite as

LMI-based Passivity Criteria for RNNs with Delays

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

Abstract

As one of most widely used qualitative characteristics, stability property are studied for the equilibrium point of some kinds of RNNs with delays in Chaps. 4–7. For a dynamical system, there are many qualitative characteristics to be studied. In this chapter, we will study the passivity problem for neural networks with discrete and unbounded distributed time-varying delays. The contents in this chapter is mainly from the authors’ previous paper (Zheng and Wang, Int. J. Comput. Math.90(9):1782–1795, 2013, [1]).

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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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Wang, Z., Liu, Z., Zheng, C. (2016). LMI-based Passivity Criteria for RNNs with Delays. 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_8

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  • DOI: https://doi.org/10.1007/978-3-662-47484-6_8

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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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