Back to Search
Start Over
Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of measure theory
- Source :
- Neurocomputing. 435:253-263
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- In this work, we use recent results on pseudo almost periodicity to study a class of non-autonomous cellular neural networks with mixed delays. Sufficient conditions are obtained in context of general measure theory ( d μ ( x ) = ρ ( x ) dx + d μ 1 ( x ) ), for existence, uniqueness and global exponentially stability of μ -pseudo almost periodic solutions of the considered model. As a consequence, we establish the exponential attractiveness of μ -pseudo almost periodic solutions of the addressed model as t ⟶ + ∞ . Some examples and numerical simulations are given to illustrate our results.
- Subjects :
- Physics
0209 industrial biotechnology
Pure mathematics
Work (thermodynamics)
Class (set theory)
Cognitive Neuroscience
Context (language use)
02 engineering and technology
Stability (probability)
Computer Science Applications
Exponential function
020901 industrial engineering & automation
Exponential growth
Artificial Intelligence
Cellular neural network
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Uniqueness
Subjects
Details
- ISSN :
- 09252312
- Volume :
- 435
- Database :
- OpenAIRE
- Journal :
- Neurocomputing
- Accession number :
- edsair.doi...........dfd5fde7232a9e7e758efd6a6381ecb7
- Full Text :
- https://doi.org/10.1016/j.neucom.2020.12.047