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Global Exponential Stability of Delayed Neural Networks with Non-lipschitz Neuron Activations and Impulses

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Advances in Computation and Intelligence (ISICA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5821))

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Abstract

This paper investigates global convergence for a novel class of delayed neural networks with non-Lipschitz neuron activations and impulses based on the topological degree theory and Lyapunov functional method. Some suffcient conditions are derived to ensure the existence, and global exponential stability of the equilibrium point of neural networks. Finally, a numerical example is given to demonstrate the effectiveness of the obtained result.

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References

  1. Zhou, L., Hu, G.: Global Exponential Periodicity and Stability of Cellular Neural Networks with Variable and Distributed Delays. Applied Mathematics and Computation 195, 402–411 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. Li, T., Fei, S.: Stability Analysis of Cohen-Grossberg Neural Networks with Time-Varying and Distributed Delays. Neurocomputing 71, 1069–1081 (2008)

    Article  Google Scholar 

  3. Zhang, Q., Wei, X., Xu, J.: Delay-Dependent Exponential Stability Criteria for Non-Autonomous Cellular Neural Networks with Time-Varying Delays. Chaos, Solitons and Fractals 36, 985–990 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Zhao, W.: Dynamics of Cohen-Grossberg Neural Network with Variable Coefficients and Time-Varying Delays. Nonlinear Analysis: Real World Applications 9, 1024–1037 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Xiong, W., Zhou, Q., Xiao, B., Yu, Y.: Global Exponential Stability of Cellular Neural Networks with Mixed Delays and Impulses. Chaos, Solitons and Fractals 34, 896–902 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Huang, Z., Yang, Q., Luo, X.: Exponential Stability of Impulsive Neural Networks with Time-Varying Delays. Chaos, Solitons and Fractals 35, 770–780 (2008)

    Article  MATH  Google Scholar 

  7. Long, S., Xu, D.: Delay-Dependent Stability Analysis for Impulsive Neural Networks with Time-Varying Delays. Neurocomputing 71, 1705–1713 (2008)

    Article  Google Scholar 

  8. Wu, H., Xue, X.: Stability Analysis for Neural Networks with Inverse Lipschitzian Neuron Activations and Impulses. Applied Mathematical Modelling 32, 2347–2359 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Fu, C., Wu, A. (2009). Global Exponential Stability of Delayed Neural Networks with Non-lipschitz Neuron Activations and Impulses. In: Cai, Z., Li, Z., Kang, Z., Liu, Y. (eds) Advances in Computation and Intelligence. ISICA 2009. Lecture Notes in Computer Science, vol 5821. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04843-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-04843-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04842-5

  • Online ISBN: 978-3-642-04843-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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