Pseudo-Almost Periodic Solution on Time-Space Scales for a Novel Class of Competitive Neutral-Type Neural Networks with Mixed Time-Varying Delays and Leakage Delays

2017 ◽  
Vol 46 (2) ◽  
pp. 719-745 ◽  
Author(s):  
Adnène Arbi ◽  
Jinde Cao
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Neutral Type ◽  
Almost Periodic Solution ◽  
Time Varying ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
Leakage Delays ◽  
Time Space ◽  
Pseudo Almost Periodic

scholarly journals Stability Analysis of Pseudo-Almost Periodic Solution for a Class of Cellular Neural Network with D Operator and Time-Varying Delays

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1951
Author(s):  
Weide Liu ◽  
Jianliang Huang ◽  
Qinghe Yao
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Periodic Solution ◽  
Almost Periodic Solution ◽  
Time Varying ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
D Operator ◽  
The Stability ◽  
Pseudo Almost Periodic

Cellular neural networks with D operator and time-varying delays are found to be effective in demonstrating complex dynamic behaviors. The stability analysis of the pseudo-almost periodic solution for a novel neural network of this kind is considered in this work. A generalized class neural networks model, combining cellular neural networks and the shunting inhibitory neural networks with D operator and time-varying delays is constructed. Based on the fixed-point theory and the exponential dichotomy of linear equations, the existence and uniqueness of pseudo-almost periodic solutions are investigated. Through a suitable variable transformation, the globally exponentially stable sufficient condition of the cellular neural network is examined. Compared with previous studies on the stability of periodic solutions, the global exponential stability analysis for this work avoids constructing the complex Lyapunov functional. Therefore, the stability criteria of the pseudo-almost periodic solution for cellular neural networks in this paper are more precise and less conservative. Finally, an example is presented to illustrate the feasibility and effectiveness of our obtained theoretical results.

Almost periodic solution for a neutral-type neural networks with distributed leakage delays on time scales

2016 ◽  
Vol 173 ◽  
pp. 921-929 ◽  
Author(s):  
Bo Du ◽  
Yurong Liu ◽  
Hanan Ali Batarfi ◽  
Fuad E. Alsaadi
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Time Scales ◽  
Neutral Type ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Leakage Delays

scholarly journals Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Haihui Wu
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Cellular Neural Networks ◽  
Contraction Mapping Principle ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solution ◽  
Globally Exponential Stability ◽  
Banach Contraction ◽  
Pseudo Almost Periodic

Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov functionals and the well-known Banach contraction mapping principle.

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