Abstract
In this paper, without assuming the boundedness of activation functions, by applying continuous theorem of coincidence degree theory and the theory of calculus on time scales, we obtain some criteria for the existence exponential stability of periodic solutions to impulses Cohen-Grossberg neural networks with delay on time scales. Finally, an example is given to illustrate our results.
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Acknowledgments
This work is supported by the National Natural Sciences Foundation of Peoples Republic of China under Grant 11561070, and the Natural Scientific Research Fund Project of Yunnan Province (No. 2014FD049), and the Young Teacher Program of Yuxi Normal University.
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Li, Z. (2016). Existence of Periodic Solutions to Non-autonomous Delay Cohen-Grossberg Neural Networks with Impulses on Time Scales. In: Cheng, L., Liu, Q., Ronzhin, A. (eds) Advances in Neural Networks – ISNN 2016. ISNN 2016. Lecture Notes in Computer Science(), vol 9719. Springer, Cham. https://doi.org/10.1007/978-3-319-40663-3_25
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DOI: https://doi.org/10.1007/978-3-319-40663-3_25
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