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Exponential Stability of Non-Autonomous Neural Networks with Heterogeneous Time-Varying Delays and Destabilizing Impulses

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Abstract

In this paper, the problem of global exponential stability analysis of a class of non-autonomous neural networks with heterogeneous delays and time-varying impulses is considered. Based on the comparison principle, explicit conditions are derived in terms of testable matrix inequalities ensuring that the system is globally exponentially stable under destabilizing impulsive effects. Numerical examples are given to demonstrate the effectiveness of the obtained results.

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Acknowledgments

The authors would like to thank the Editors and the anonymous Referees for their constructive comments and suggestions that helped to improve the present paper.

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Authors and Affiliations

  1. Department of Mathematics, Vietnam Maritime University, 484 Lach Tray, Ngo Quyen, Hai Phong, Vietnam

    Le Dao Hai An

  2. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Road, Hanoi, Vietnam

    Le Van Hien & Tran Thi Loan

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  1. Le Dao Hai An
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  2. Le Van Hien
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  3. Tran Thi Loan
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Correspondence to Le Van Hien.

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Hai An, L.D., Van Hien, L. & Loan, T.T. Exponential Stability of Non-Autonomous Neural Networks with Heterogeneous Time-Varying Delays and Destabilizing Impulses. Vietnam J. Math. 45, 425–440 (2017). https://doi.org/10.1007/s10013-016-0217-8

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  • DOI: https://doi.org/10.1007/s10013-016-0217-8

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