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                                       Details for article 40 of 83 found articles
 
 
  Global Exponential Stability in Discrete-time Analogues of Delayed Cellular Neural Networks
 
 
Title: Global Exponential Stability in Discrete-time Analogues of Delayed Cellular Neural Networks
Author: Mohamad, Sannay
Appeared in: Journal of difference equations and applications
Paging: Volume 9 (2003) nr. 6 pages 559-575
Year: 2003-06
Contents: A novel method called semi-discretization is employed in the formulation of discrete-time analogues of nonlinear delayed differential equations modelling cellular neural networks. The dynamical characteristics of the discrete-time analogues are studied. When the network parameters satisfy certain sufficient conditions which are independent of the delays, the discrete-time analogues for any choice on the discretization step-size are shown to be globally exponentially stable. The sufficient conditions are obtained by employing an appropriate form of Lyapunov sequences and these conditions correspond to those which have been obtained in the literature for the global exponential stability of continuous-time delayed cellular neural networks. Several examples and computer simulations are given to support our results and to demonstrate some of the advantages of the discrete-time analogues in numerically simulating their continuous-time counterparts.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 40 of 83 found articles
 
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