Piecewise Pseudo Almost-Periodic Solutions of Impulsive Fuzzy Cellular Neural Networks with Mixed Delays

This article examines the existence of the unique piecewise pseudo almost periodic for impulsive fuzzy cellular neural networks by using the contraction mapping principle and piecewise pseudo almost periodic function theory. Further, sufficient certain conditions for their global exponential stabili...

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Bibliographic Details
Published in:Neural processing letters 2020-04, Vol.51 (2), p.1201-1225
Main Authors: Aouiti, Chaouki, Ben Gharbia, Imen
Format: Article
Language:English
Subjects:
Artificial Intelligence
Artificial neural networks
Banach spaces
Cellular communication
Complex Systems
Computational Intelligence
Computer Science
Decomposition
Fuzzy logic
Inequality
Neural networks
Periodic functions
Physics
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Summary:This article examines the existence of the unique piecewise pseudo almost periodic for impulsive fuzzy cellular neural networks by using the contraction mapping principle and piecewise pseudo almost periodic function theory. Further, sufficient certain conditions for their global exponential stability are produced through the use of differential inequality and generalized Gronwall–Bellman inequality. Our results are new and complement some previously known ones. Two examples and their numerical simulations are performed to ensure our theoretical results.
ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-019-10130-9