Dissertation > Excellent graduate degree dissertation topics show

Stability of Hopfield Neural Networks

Author: XuJun
Tutor: ZhongShouMing
School: University of Electronic Science and Technology
Course: Operational Research and Cybernetics
Keywords: Hopfield Neural Networks Delayed Cellular Neural Networks Lyapunov direct method Lyapunov functional method .
CLC: TP183
Type: Master's thesis
Year: 2004
Downloads: 339
Quote: 1
Read: Download Dissertation

Abstract


This paper mainly studies the type without delay and delay the Hopfield neural network stability. The first chapter first introduces continuous Hopfield neural network parameters and their working mechanism, then using modern mathematics method type Hopfield neural network is discussed the existence and uniqueness of the equilibrium point. Finally using the lyapunov direct method, and combined with the use of M matrix theory to study the global asymptotic stability of the type Hopfield neural network. The second chapter studies the with distribution of Hopfield neural networks with delay. First using Brouwer fixed point theorem, the constant coefficient type Hopfield neural networks with distributed delays the existence of the equilibrium point. Then using lyapunov function method and using the promotion Halanay delay differential inequality, respectively, to study the distributed delay constant coefficient and stability of type Hopfield neural networks with variable coefficients. The third chapter based on lyapunov functional method, using a new method to study the stability of cellular neural networks with time delay, then according to this method, respectively, discussed without delay and delay the stability of the type of Hopfield neural network.

Related Dissertations

  1. The Research of the Stability of the Neural Network Based on the Nonsmooth Anaslysis,TP183
  2. The Stability Analysis of Two Classes of Neural Networks with Delays,TP183
  3. Study on Fuzzy Sliding Mode Variable Structure Control Theory for Uncertain Nonlinear Time-delay System,TP13
  4. Hopfield Neural Network Based on Simulated Annealing Study,TP183
  5. Global Asymptotic Stability ,global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models,O175.2
  6. A Class of Modified Hopfield Image Restoration Algorithm,TP391.41
  7. Analysis of Different Types of Hopfield Neural Networks,TP183
  8. Nonnegative Periodic Dynamics of Delayed Cohen-Grossberg Neural Networks with Discontinuous Activations,TP183
  9. Multifunction digital watermarking technology research,TP309.7
  10. Cable-stayed MR semi-active control method,TU399
  11. Exponential Stability of Two Class of Stochastic Neural Networks with Mixed Delays,TP183
  12. Stability Analysis of Time-Delay Systems and the Applications in Networked Control,TP273
  13. Symmetry Studying on the Discrete Hopfield Model Neural Networks,TP183
  14. Research and Design of Straight-line Tracking Control Systems for Underactuated Ship,U664.82
  15. Stochastic and Impulsive Exponential Stability Analysis of Hopfield Neural Networks with Delays,O175
  16. Based on Hybrid Systems Modeling and Control of Power Electronics Research,TM13
  17. The Control and Synchronization of Chaos System and Analysis to Complex Network System,O193
  18. Cubic nonlinear vibration isolation control system performance studies and numerical methods,TU352.12
  19. Delay Switched Network Stability Analysis,TP183
  20. Nonlinear equations of fractional calculus existence and uniqueness and stability,O172

CLC: > Industrial Technology > Automation technology,computer technology > Automated basic theory > Artificial intelligence theory > Artificial Neural Networks and Computing
© 2012 www.DissertationTopic.Net  Mobile