Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses

Nina Huo and Yongkun Li

Complexity, 2018, vol. 2018, 1-12

Abstract:

This paper is concerned with quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with distributed delays and impulses. By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. By constructing a suitable Lyapunov function, some sufficient conditions are derived to guarantee the global exponential stability of antiperiodic solutions for QVSICNNs. Finally, an example is given to show the feasibility of obtained results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6420256

DOI: 10.1155/2018/6420256

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