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Stability property of impulsive inertial neural networks with unbounded time delay and saturating actuators

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Abstract

This paper considers the stability property of impulsive inertial neural networks with unbounded delay and saturating actuators. Based on polytopic representation approach, some sufficient conditions to ensure global asymptotic stability are obtained for impulsive inertial neural networks. By using Lyapunov function with the matrix form of 2-norm, we obtain some conditions to ensure the stability of impulsive inertial neural networks. Finally, the validity of this method is verified by several simulation examples.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China (Grant Nos. 61672133, 61832001 and 61632007).

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Authors and Affiliations

  1. Center for Future Media, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Deqiang Ouyang & Jie Shao

  2. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Cheng Hu

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  1. Deqiang Ouyang
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  2. Jie Shao
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  3. Cheng Hu
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Correspondence to Jie Shao.

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Ouyang, D., Shao, J. & Hu, C. Stability property of impulsive inertial neural networks with unbounded time delay and saturating actuators. Neural Comput & Applic 32, 6571–6580 (2020). https://doi.org/10.1007/s00521-019-04115-x

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  • DOI: https://doi.org/10.1007/s00521-019-04115-x

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