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Global Stability Conditions of Locally Recurrent Neural Networks

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Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005 (ICANN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3697))

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Abstract

The paper deals with a discrete-time recurrent neural network designed with dynamic neural models. Dynamics is reproduced within each single neuron, hence the considered network is a locally recurrent globally feed-forward. In the paper, conditions for global stability of the considered neural network are derived using the pole placement and Lyapunov second method.

This work was supported by the State Committee for Scientific Research in Poland (KBN) under the grant No. 4T11A01425

An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .

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References

  1. Tsoi, A.C., Back, A.D.: Locally recurrent globally feedforward networks: A critical review of architectures. IEEE Transactions on Neural Networks 5, 229–239 (1994)

    Article  Google Scholar 

  2. Gori, M., Bengio, Y., Mori, R.D.: BPS: A learning algorithm for capturing the dynamic nature of spech. In: International Joint Conference on Neural Networks, vol. II, pp. 417–423 (1989)

    Google Scholar 

  3. Patan, K., Parisini, T.: Identification of neural dynamic models for fault detection and isolation: the case of a real sugar evaporation process. Journal of Process Control 15, 67–79 (2005)

    Article  Google Scholar 

  4. Korbicz, J., Patan, K., Obuchowicz, A.: Dynamic neural networks for process modelling in fault detection and isolation systems. International Journal of Applied Mathematics and Computer Science 9, 519–546 (1999)

    MATH  Google Scholar 

  5. Patan, K.: Training of the dynamic neural networks via constrained optimization. In: Proc. IEEE Int. Joint Conference on Neural Networks, IJCNN 2004, Budapest, Hungary (2004); published on CD-ROM.

    Google Scholar 

  6. Gupta, M.M., Jin, L., Homma, N.: Static and Dynamic Neural Neetworks. From Fundamentals to Advanced Theory. John Wiley & Sons, New Jersey (2003)

    Book  Google Scholar 

  7. Narendra, K.S., Parthasarathy, K.: Identification and control of dynamical systems using neural networks. IEEE Transactions on Neural Networks 1, 12–18 (1990)

    Article  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Patan, K., Korbicz, J., Prętki, P. (2005). Global Stability Conditions of Locally Recurrent Neural Networks. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_31

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  • DOI: https://doi.org/10.1007/11550907_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28755-1

  • Online ISBN: 978-3-540-28756-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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