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State Estimation of Markovian Jump Neural Networks with Mixed Time Delays

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7367)

Abstract

This paper is concerned with the state estimation problem of Markovian jump neural networks with discrete and distributed delays. A stochastic Lyapunov functional with a triple-integral term is constructed to handle it. A delay-dependent design criterion is derived such that the resulting error system is mean square exponentially stable with a prescribed decay rate. The gain matrices of the state estimator and the decay rate can be obtained by solving some coupled linear matrix inequalities.

Keywords

  • Markovian jump neural networks
  • state estimation
  • mixed delays
  • decay rate

This work was jointly supported by the National Natural Science Foundation of China under Grant No. 61005047 and the Natural Science Foundation of Jiangsu Province of China under Grant No. BK2010214.

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Huang, H., Chen, X. (2012). State Estimation of Markovian Jump Neural Networks with Mixed Time Delays. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds) Advances in Neural Networks – ISNN 2012. ISNN 2012. Lecture Notes in Computer Science, vol 7367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31346-2_16

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  • DOI: https://doi.org/10.1007/978-3-642-31346-2_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31345-5

  • Online ISBN: 978-3-642-31346-2

  • eBook Packages: Computer ScienceComputer Science (R0)