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International Conference on Intelligent Computing

ICIC 2012: Intelligent Computing Theories and Applications pp 9–17Cite as

Mean Square Exponential Stability of Hybrid Neural Networks with Uncertain Switching Probabilities

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7390))

Abstract

This paper is concerned with the global exponential stability problem for a class of Markovian jumping recurrent neural networks (MJRNNs) with uncertain switching probabilities. The Markovian jumping recurrent neural networks under consideration involve parameter uncertainties in the mode transition rate matrix. By employing a Lyapunov functional, a linear matrix inequality (LMI) approach is developed to establish an easy-totest and delay-independent sufficient condition which guarantees that the dynamics of the neural network is globally exponentially stable in the mean square.

This work is partially supported by National Natural Science Foundation of China (No.61174021, No.61104155), and the 111 Project (B12018).

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Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, China

    Xuyang Lou, Qian Ye, Ke Lou & Baotong Cui

Authors
  1. Xuyang Lou
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  2. Qian Ye
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  3. Ke Lou
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  4. Baotong Cui
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Editor information

Editors and Affiliations

  1. School of Electronics and Information Engineering, Machine Learning and Systems Biology Laboratory, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    De-Shuang Huang

  2. Faculty of Computer and Information Sciences, Hosei University, 3-7-2, Kajino-Cho, Koganei-Shi, Japan

    Jianhua Ma

  3. School of Electrical Engineering, University of Ulsan, #7-413, San 29, Muger Dong, 680-749, Ulsan, South Korea

    Kang-Hyun Jo

  4. Department of Biotechnology, Indian Institute of Technology (IIT) Madras, 600 036, Chennai, Tamilnadu, India

    M. Michael Gromiha

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© 2012 Springer-Verlag Berlin Heidelberg

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Lou, X., Ye, Q., Lou, K., Cui, B. (2012). Mean Square Exponential Stability of Hybrid Neural Networks with Uncertain Switching Probabilities. In: Huang, DS., Ma, J., Jo, KH., Gromiha, M.M. (eds) Intelligent Computing Theories and Applications. ICIC 2012. Lecture Notes in Computer Science(), vol 7390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31576-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-31576-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31575-6

  • Online ISBN: 978-3-642-31576-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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