Some Criterion for Stability Analysis of Neural Networks with Multiple Delays

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چند محک برای بررسی پایداری شبکه‌های عصبی همراه با تأخیر چندگانه

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 54138 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
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
Keywords:
Stability Analysis ; Lyapunov Stability ; Neutral-Type Cohen-Grossberg Neural Networks ; Neutral-Type Hopfield Neural Networks ; Multiple Delays ; Time Delay