Controllability of switched linear discrete-time systemswith multiple time delays

2003 ◽  
Author(s):  
Yijing Wang ◽  
Guangming Xie ◽  
Long Wang
Keyword(s):  
Discrete Time ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays

Complex Dynamics of Discrete-Time Ring Neural Networks

2021 ◽  
Vol 31 (08) ◽  
pp. 2150116
Author(s):  
Xiaoying Wu ◽  
Yuanlong Chen ◽  
Liangliang Li ◽  
Fen Wang
Keyword(s):  
Neural Network ◽  
Discrete Time ◽  
Difference Equations ◽  
Time Delays ◽  
Complex Dynamics ◽  
Multiple Time ◽  
Chaotic Neural Network ◽  
Multiple Time Delays ◽  
Ring Neural Network ◽  
Theoretical Results

This paper mainly considers the complex dynamics of a discrete-time ring neural network with multiple time delays. By transforming the network system into a system of difference equations, one can obtain a chaotic neural network. More specifically, by projection method one can determine a closed invariant set of the system governed by some difference equations, and prove that some invariant subsystem is topologically conjugate to the two-sided symbolic dynamical system. Moreover, numerical simulations are presented to verify the theoretical results.

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