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Impulsive Control for a Class of Cellular Neural Networks with Proportional Delay

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Abstract

This paper is concerned with a class of cellular neural networks with proportional delay and impulses. First, by employing the improved Razumikhin technique and Lyapunov functions, some delay-dependent criteria are established to guarantee asymptotic stability and global stability of a class of general impulsive differential equations with proportional delay. Second, applying the obtained criteria, we get some delay-dependent sufficient conditions ensuring the existence, uniqueness and globally asymptotic stability of the equilibrium point of the cellular neural networks with proportional delay and impulses presented in this paper. Finally, three examples are presented to illustrate the effectiveness and advantages of the results obtained.

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Acknowledgements

The authors would like to thank the editor and the anonymous reviewers for a number of valuable comments and constructive suggestions that have improved the presentation and quality of this paper. This work is supported by the Natural Science Foundation of Guangdong Province, China (Nos. 2016A030313005 and 2015A030313643) and the Innovation Project of Department of Education of Guangdong Province, China (No. 2015KTSCX147).

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  1. School of Mathematics and Computational Science, Wuyi University, Jiangmen, 529020, Guangdong, China

    Kaizhong Guan & Qisheng Wang

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  1. Kaizhong Guan
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  2. Qisheng Wang
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Correspondence to Kaizhong Guan.

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Guan, K., Wang, Q. Impulsive Control for a Class of Cellular Neural Networks with Proportional Delay. Neural Process Lett 48, 1459–1479 (2018). https://doi.org/10.1007/s11063-017-9776-2

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