Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays
Publish Year: 1396
Type: Journal paper
Language: English
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Document National Code:
JR_COAM-2-2_004
Index date: 19 February 2023
Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays abstract
In this paper, a bidirectional ring network with three cells and different time delays is presented. To propose this model which is a good extension of three-unit neural networks, coupled cell network theory and neural network theory are applied. In this model, every cell has self-connections without delay but different time delays are assumed in other connections. A suitable Lyapunov function is presented for this model which helps to get sufficient conditions to guarantee asymptotic and exponential stability of the model. Also, these conditions are independent of time delays. Finally, analytical results are confirmed by numerical examples which are stated.
Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays Keywords:
Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays authors
Zohreh Dadi
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box ۱۳۳۹, Bojnord ۹۴۵۳۱, Iran
Farzaneh Ravanbakhsh
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box ۱۳۳۹, Bojnord ۹۴۵۳۱, Iran
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