Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
Abstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-sq...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1690-z |
| _version_ | 1819225557403959296 |
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| author | Fosheng Wang Chengqiang Wang |
| author_facet | Fosheng Wang Chengqiang Wang |
| author_sort | Fosheng Wang |
| collection | DOAJ |
| description | Abstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-square exponentially stable. Our main ingredient is the classical direct Lyapunov approach, in which we construct an elaborate Lyapunov–Krasovskii function. The arguments in the paper can be readily adapted to study stability problems for other cellular neural networks. |
| first_indexed | 2024-12-23T10:11:29Z |
| format | Article |
| id | doaj.art-05d128c317ad41ef8c66699c98740c6d |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-23T10:11:29Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-05d128c317ad41ef8c66699c98740c6d2022-12-21T17:50:56ZengSpringerOpenAdvances in Difference Equations1687-18472018-07-012018112610.1186/s13662-018-1690-zMean-square exponential stability of fuzzy stochastic BAM networks with hybrid delaysFosheng Wang0Chengqiang Wang1School of Mathematics and Physics, Mianyang Teachers’ CollegeSchool of Mathematics, Chengdu Normal UniversityAbstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-square exponentially stable. Our main ingredient is the classical direct Lyapunov approach, in which we construct an elaborate Lyapunov–Krasovskii function. The arguments in the paper can be readily adapted to study stability problems for other cellular neural networks.http://link.springer.com/article/10.1186/s13662-018-1690-zFuzzy stochastic BAMMean-square stabilityHybrid delays |
| spellingShingle | Fosheng Wang Chengqiang Wang Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays Advances in Difference Equations Fuzzy stochastic BAM Mean-square stability Hybrid delays |
| title | Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays |
| title_full | Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays |
| title_fullStr | Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays |
| title_full_unstemmed | Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays |
| title_short | Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays |
| title_sort | mean square exponential stability of fuzzy stochastic bam networks with hybrid delays |
| topic | Fuzzy stochastic BAM Mean-square stability Hybrid delays |
| url | http://link.springer.com/article/10.1186/s13662-018-1690-z |
| work_keys_str_mv | AT foshengwang meansquareexponentialstabilityoffuzzystochasticbamnetworkswithhybriddelays AT chengqiangwang meansquareexponentialstabilityoffuzzystochasticbamnetworkswithhybriddelays |