EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES

Changjin Xu; Peiluan Li; Yicheng Pang

doi:10.11948/2017075

2017 Volume 7 Issue 4

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Changjin Xu, Peiluan Li, Yicheng Pang. EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1200-1232. doi: 10.11948/2017075

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Changjin Xu, Peiluan Li, Yicheng Pang. EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1200-1232. doi: 10.11948/2017075

EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES

1 Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China;
2 School of Mathematics and Statistics, Henan University of Science and Technology Luoyang 471023, China;
3 School of Mathematics and Statistics, Guizhou University of Finance and Economics Guiyang 550004, China

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Abstract

Abstract

In this paper, we deal with a class of BAM neural networks with distributed leakage delays on time scales. Some sufficient conditions which ensure the existence and exponential stability of almost periodic solutions for such class of BAM neural networks are obtained by applying the exponential dichotomy of linear differential equations, Lapunov functional method and contraction mapping principle. An example is given to illustrate the effectiveness of the theoretical predictions. The obtained results in this paper are completely new and complement the previously known publications.
- BAM neural networks /
- almost periodic solution /
- exponential stability /
- exponential dichotomy /
- distributed leakage delay
MSC: 34K20;34C25;34K14

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References

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