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Invariant Set and Attractor of Discrete-Time Impulsive Recurrent Neural Networks

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Advances in Neural Networks – ISNN 2011 (ISNN 2011)

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

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Abstract

In this paper, we study the invariant set and attractor of the discrete-time impulsive recurrent neural networks (DIRNNs). By using a powerful delay difference inequality and properties of nonnegative matrices, we get some sufficient criteria to determine the invariant set and attractor of DIRNNs. Some examples demonstrate the efficiency.

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, B., Song, Q. (2011). Invariant Set and Attractor of Discrete-Time Impulsive Recurrent Neural Networks. 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_48

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_48

  • 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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