Abstract
This paper considers the impulsive control of unstable neural networks with unbounded time-varying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability, (global) asymptotical stability, and (global) exponential stability, are derived. It is shown that an unstable delay neural network, especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy.
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Acknowledgements
This work was jointly supported by National Natural Science Foundation of China (Grant Nos. 11301308, 61673247, 61273233), Outstanding Youth Foundation of Shandong Province (Grant Nos. ZR20170-2100145, ZR2016J L024), and Natural Sciences and Engineering Research Council of Canada.
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Li, X., Song, S. & Wu, J. Impulsive control of unstable neural networks with unbounded time-varying delays. Sci. China Inf. Sci. 61, 012203 (2018). https://doi.org/10.1007/s11432-017-9097-1
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DOI: https://doi.org/10.1007/s11432-017-9097-1