Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales

Shiping Shen, Bing Li and Yongkun Li

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-14

Abstract:

A class of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales is proposed. Based on inequality analysis techniques on time scales, a fixed point theorem and the theory of calculus on time scales, the existence, and global exponential stability of anti-periodic solutions for this class of neural networks are established. The obtained results are completely new and supplement to the known results. Finally, a numerical example is given to illustrate the feasibility of our results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5290786

DOI: 10.1155/2018/5290786

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