1. Almost Periodic Dynamics for Memristor-Based Shunting Inhibitory Cellular Neural Networks with Leakage Delays
- Author
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Lin Lu and Chaoling Li
- Subjects
Lyapunov function ,Periodicity ,0209 industrial biotechnology ,General Computer Science ,Article Subject ,General Mathematics ,Neural Inhibition ,02 engineering and technology ,Memristor ,lcsh:Computer applications to medicine. Medical informatics ,law.invention ,lcsh:RC321-571 ,symbols.namesake ,020901 industrial engineering & automation ,Exponential stability ,Memory ,Control theory ,law ,0202 electrical engineering, electronic engineering, information engineering ,Humans ,lcsh:Neurosciences. Biological psychiatry. Neuropsychiatry ,Mathematics ,Leakage (electronics) ,Artificial neural network ,Quantitative Biology::Neurons and Cognition ,General Neuroscience ,General Medicine ,Shunting inhibitory cellular neural networks ,Nonlinear system ,Nonlinear Dynamics ,symbols ,lcsh:R858-859.7 ,020201 artificial intelligence & image processing ,Neural Networks, Computer ,Research Article - Abstract
We investigate a class of memristor-based shunting inhibitory cellular neural networks with leakage delays. By applying a new Lyapunov function method, we prove that the neural network which has a unique almost periodic solution is globally exponentially stable. Moreover, the theoretical findings of this paper on the almost periodic solution are applied to prove the existence and stability of periodic solution for memristor-based shunting inhibitory cellular neural networks with leakage delays and periodic coefficients. An example is given to illustrate the effectiveness of the theoretical results. The results obtained in this paper are completely new and complement the previously known studies of Wu (2011) and Chen and Cao (2002).
- Published
- 2016
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