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Exponential Stability of Neural Networks with Markovian Switching Parameters and General Noise

  • Xin Zhang
  • Wuneng ZhouEmail author
  • Yuqing Sun
Article
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Abstract

This paper investigates the problem of exponential stability of Neural Networks (NNs) with Markovian parameters and general noise. The model in this paper with general noise is more suitable for many real nervous systems than NNs with white noise. Criteria for the exponential stability of the NNs with Markovian switching parameters and general noise in both the mean square and p-th moment are derived by utilizing the random analysis method and Lyapunov functional method techniques. The exponential stability of NNs without Markovian switching is given as a special case. Finally, simulation result in two examples are discussed to illustrate the theoretical results.

Keywords

Exponential stability general noise Lyapunov functional neural networks Markovian switching 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.School of Information Science and TechnologyDonghua UniversitySongjiang District, ShanghaiChina

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