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International Symposium on Neural Networks

ISNN 2011: Advances in Neural Networks – ISNN 2011 pp 148–157Cite as

Universal Analysis Method for Stability of Recurrent Neural Networks with Different Multiple Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

Abstract

A universal stability analysis method on the basis of linear matrix inequality is proposed to solve the stability problem of recurrent neural networks with different kinds of multiple delays. Firstly, a universal neural networks model is analyzed to present a general framework for the stability study, in which a sufficient condition is derived. Secondly, by considering several special case of the universal model, a series of stability criteria are established, which have the same or similar structure and expression. All the obtained stability criteria present a general mode to study the stability of delayed dynamical systems.

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Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, People’s Republic of China

    Zhanshan Wang, Enlin Zhang, Kuo Yun & Huaguang Zhang

Authors
  1. Zhanshan Wang
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  2. Enlin Zhang
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  3. Kuo Yun
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  4. Huaguang Zhang
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, Z., Zhang, E., Yun, K., Zhang, H. (2011). Universal Analysis Method for Stability of Recurrent Neural Networks with Different Multiple Delays. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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