Some Criterion for Stability Analysis of Neural Networks with Multiple Delays

Eftekhari, Aliyah | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54138 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Hesaraki, Mahmoud
  7. Abstract:
  8. this thesis , we examine several types of neural networks , including the Hopfield and Cohen- Gro ssberg neural networks , which have discrete time delays in neuronal states and discrete time delays in the time derivative of neuronal states . The study of these Stabilities is mainly done by constructing Lyapunov function and by using it , the global asymptotic stability is studied . A comparison between these Stabilities will also be made and examples for the application of the results will be provided
  9. Keywords:
  10. Stability Analysis ; Lyapunov Stability ; Neutral-Type Cohen-Grossberg Neural Networks ; Neutral-Type Hopfield Neural Networks ; Multiple Delays ; Time Delay

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