Literature DB >> 25387161

Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays.

Changjin Xu1, Qiming Zhang, Yusen Wu.   

Abstract

In this paper, shunting inhibitory cellular neural networks(SICNNs) with neutral type delays and time-varying leakage delays are investigated. By applying Lyapunov functional method and differential inequality techniques, a set of sufficient conditions are obtained for the existence and exponential stability of pseudo almost periodic solutions of the model. An example is given to support the theoretical findings. Our results improve and generalize those of the previous studies.

Entities:  

Keywords:  34C25; 34K25; 34k13; Exponential stability; Leakage delay; Neutral type delay; Pseudo almost periodic solution; Shunting inhibitory cellular neural networks

Mesh:

Substances:

Year:  2014        PMID: 25387161     DOI: 10.3109/0954898X.2014.978406

Source DB:  PubMed          Journal:  Network        ISSN: 0954-898X            Impact factor:   1.273


  3 in total

1.  New exploration on bifurcation for fractional-order quaternion-valued neural networks involving leakage delays.

Authors:  Changjin Xu; Zixin Liu; Chaouki Aouiti; Peiluan Li; Lingyun Yao; Jinling Yan
Journal:  Cogn Neurodyn       Date:  2022-01-30       Impact factor: 3.473

2.  Almost Periodic Dynamics for Memristor-Based Shunting Inhibitory Cellular Neural Networks with Leakage Delays.

Authors:  Lin Lu; Chaoling Li
Journal:  Comput Intell Neurosci       Date:  2016-10-19

3.  Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses.

Authors:  Lijun Xu; Qi Jiang; Guodong Gu
Journal:  Comput Intell Neurosci       Date:  2016-03-30
  3 in total

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