Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales
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 s...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/5290786 |
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| _version_ | 1832550592672694272 |
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| author | Shiping Shen Bing Li Yongkun Li |
| author_facet | Shiping Shen Bing Li Yongkun Li |
| author_sort | Shiping Shen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d5454fc2ed9d499aaa2c723d5477e694 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d5454fc2ed9d499aaa2c723d5477e6942025-02-03T06:06:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/52907865290786Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time ScalesShiping Shen0Bing Li1Yongkun Li2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan 650500, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaA 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.http://dx.doi.org/10.1155/2018/5290786 |
| spellingShingle | Shiping Shen Bing Li Yongkun Li Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales Discrete Dynamics in Nature and Society |
| title | Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales |
| title_full | Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales |
| title_fullStr | Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales |
| title_full_unstemmed | Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales |
| title_short | Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales |
| title_sort | anti periodic dynamics of quaternion valued fuzzy cellular neural networks with time varying delays on time scales |
| url | http://dx.doi.org/10.1155/2018/5290786 |
| work_keys_str_mv | AT shipingshen antiperiodicdynamicsofquaternionvaluedfuzzycellularneuralnetworkswithtimevaryingdelaysontimescales AT bingli antiperiodicdynamicsofquaternionvaluedfuzzycellularneuralnetworkswithtimevaryingdelaysontimescales AT yongkunli antiperiodicdynamicsofquaternionvaluedfuzzycellularneuralnetworkswithtimevaryingdelaysontimescales |