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Pseudo Almost Periodic Solutions for CNNs with Continuously Distributed Leakage Delays

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Abstract

In this paper, based on the exponential dichotomy theory, contraction mapping fixed point theorem and inequality analysis technique, we obtain some sufficient conditions ensuring the existence and global exponential stability of pseudo almost periodic solutions for a new generalized cellular neural network model with continuously distributed leakage delays. Our results complement with some recent ones. Moreover, an illustrative example and its numerical simulation are given to demonstrate the effectiveness of the obtained results.

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Acknowledgments

The author would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper. This work was supported by the construct program of the key discipline in Hunan province (Mechanical Design and Theory), the Scientific Research Fund of Hunan Provincial Natural Science Foundation of PR China (Grant No. 11JJ6006), and the Natural Scientific Research Fund of Hunan Provincial Education Department of PR China (Grants No. 11C0916, 11C0915).

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, 415000, Hunan, People’s Republic of China

    Bingwen Liu

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  1. Bingwen Liu
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Correspondence to Bingwen Liu.

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Liu, B. Pseudo Almost Periodic Solutions for CNNs with Continuously Distributed Leakage Delays. Neural Process Lett 42, 233–256 (2015). https://doi.org/10.1007/s11063-014-9354-9

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