Novel stability criteria for delayed cellular neural networks
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Updated: Aug 29, 2026

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
Published on: March 2, 2015
Jinde Cao1, Jun Wang, Xiaofeng Liao
1Department of Mathematics, Southeast University, Nanjing 210096, China. jdcao@seu.edu.cn
Abstract:
In this paper, a new sufficient condition is given for the global asymptotic stability and global exponential output stability of a unique equilibrium points of delayed cellular neural networks (DCNNs) by using Lyapunov method. This condition imposes constraints on the feedback matrices and delayed feedback matrices of DCNNs and is independent of the delay. The obtained results extend and improve upon those in the earlier literature, and this condition is also less restrictive than those given in the earlier references. Two examples compared with the previous results in the literatures are presented and a simulation result is also given.
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