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Recent Advances in Computer Science and Information Engineering pp 217–222Cite as

Synchronization of Chaotic Delayed Neural Networks via Sampled-Data Feedback Control with Stochastic Sampling

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 129))

Abstract

This paper deals with the synchronization of chaotic delayed neural networks via sampled-data feedback control with multiple stochastic sampling periods, whose occurrence probabilities are given constants. For the simplicity of technical development, the case with two stochastic sampling periods is considered. By means of the input-delay approach to sampled-data systems, the synchronization error system is represented as a stochastic continuous time system with multiple delays. A mean-square asymptotic stability condition for the synchronization error system is derived via a discretised Lyapunov-Krasovskii function method. The sampled-data feedback controller design is formulated via linear matrix inequalities based convex optimization problems, which can be efficiently solved via standard numerical software. A numerical example illustrates the efficiency of the proposed method.

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Author information

Authors and Affiliations

  1. School of Science, Nantong University, Nantong, 226007, China

    Yan Chen & Guiyin Shi

  2. School of Electronics and Information, Nantong University, Nantong, 226019, China

    Xiaomei Zhang & Zhenjuan Zhang

  3. School of Electrical Engineering, Nantong University, Nantong, 226019, China

    Weiguo Ma

Authors
  1. Yan Chen
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  2. Xiaomei Zhang
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  3. Guiyin Shi
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  4. Zhenjuan Zhang
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  5. Weiguo Ma
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Corresponding author

Correspondence to Yan Chen .

Editor information

Editors and Affiliations

  1. , College of Communication Engineering, Jilin University, Room 313, Building No.1, Changchun, Nanhu Avenue 5372, Jilin, 130012, China, People's Republic

    Zhihong Qian

  2. , Department of Electrical Engineering, The University of Mississippi, Anderson Hall 314, Mississippi, 38677, Mississippi, USA

    Lei Cao

  3. , Department of Electrical and Computer En, Naval Postgraduate School, Rm. 452 Spanagel Bldg. 232, Dyer Road 833, Monterey, 93943-5121, California, USA

    Weilian Su

  4. , Faculty of Computing, London Metropolitan University, Holloway Road 166-220, London, N7 8DB, United Kingdom

    Tingkai Wang

  5. , College of Software, Changchun University of Science and Tech, Changchun, Jilin, 130022, China, People's Republic

    Huamin Yang

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Chen, Y., Zhang, X., Shi, G., Zhang, Z., Ma, W. (2012). Synchronization of Chaotic Delayed Neural Networks via Sampled-Data Feedback Control with Stochastic Sampling. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25778-0_32

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  • DOI: https://doi.org/10.1007/978-3-642-25778-0_32

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25777-3

  • Online ISBN: 978-3-642-25778-0

  • eBook Packages: EngineeringEngineering (R0)

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