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Global Exponential Stability of Non-autonomous Cellular Neural Network Model with Time Varying Delays

  • M. Chowdhury
  • P. DasEmail author
Conference paper
  • 46 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 302)

Abstract

We have considered a general form of non-autonomous cellular neural network with time varying delays in this paper. We have estimated the upper bound of solutions of the system by introducing different parameters and considered some conditions on it. We have derived the conditions of boundedness and global exponential stability of the model which is initially unstable for some parameter values using Young Inequality technique and Dini derivative. Several examples and their computer simulations are given to illustrate the effectiveness of obtained results.

Keywords

Non-autonomous system Time-varying delay Boundedness Global exponential stability 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Engineering Science and Technology, ShibpurHowrahIndia

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