Anti-periodic solutions for neutral type FCNNs with time-varying delays and \(D\) operator on time scales
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Authors
Bing Li
- School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan 650500, People's Republic of China.
Yongkun Li
- Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China.
Abstract
In this paper, we consider a class of neutral type fuzzy cellular neural networks with time-varying delays and \(D\) operator on time scales. Based on inequality analysis techniques on time scales and a fixed point theorem and the theory of calculus on time scales, we obtain the existence and global exponential stability of anti-periodic solutions for this class of the networks. Finally, a numerical example is given to illustrate the feasibility of our results.
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ISRP Style
Bing Li, Yongkun Li, Anti-periodic solutions for neutral type FCNNs with time-varying delays and \(D\) operator on time scales, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 6119--6131
AMA Style
Li Bing, Li Yongkun, Anti-periodic solutions for neutral type FCNNs with time-varying delays and \(D\) operator on time scales. J. Nonlinear Sci. Appl. (2017); 10(11):6119--6131
Chicago/Turabian Style
Li, Bing, Li, Yongkun. "Anti-periodic solutions for neutral type FCNNs with time-varying delays and \(D\) operator on time scales." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 6119--6131
Keywords
- Fuzzy cellular neural networks
- anti-periodic solution
- \(D\) operator
- global exponential stability
- time scales
MSC
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