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Finite-Time Stability of a Class of CNNs with Heterogeneous Proportional Delays and Oscillating Leakage Coefficients

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Abstract

The paper is concerned with the finite-time stability for a class of non-autonomous cellular neural networks with heterogeneous proportional delays and oscillating leakage coefficients. By employing the differential inequality techniques, we establish a novel result to ensure the finite-time stability of the addressed system. Meanwhile, the generalized exponential synchronization is also established. Our approach handles particular cases which were not considered in some early relevant results. An example along with its numerical simulation is presented to demonstrate the validity of the proposed result.

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Acknowledgments

The author would like to express the sincere appreciation to the editor and reviewer for their helpful comments in improving the presentation and quality of the paper.

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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.

Additional information

This work was supported by the Natural Scientific Research Fund of Zhejiang Provincial of China (grant no. LY16A010018), the Natural Scientific Research Fund of Hunan Provincial of China (Grant Nos. 2016JJ6103, 2016JJ6104), and the Construction Program of the Key Discipline in Hunan University of Arts and Science-Applied Mathematics.

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Liu, B. Finite-Time Stability of a Class of CNNs with Heterogeneous Proportional Delays and Oscillating Leakage Coefficients. Neural Process Lett 45, 109–119 (2017). https://doi.org/10.1007/s11063-016-9512-3

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