Mean-square exponential input-to-state stability of stochastic inertial neural networks
Abstract By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state stability on the addressed model, which gener...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Advances in Difference Equations |
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| Online Access: | https://doi.org/10.1186/s13662-021-03586-4 |
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doaj-aa65eaa1870f402096529609107f67432021-10-03T11:12:43ZengSpringerOpenAdvances in Difference Equations1687-18472021-09-012021111210.1186/s13662-021-03586-4Mean-square exponential input-to-state stability of stochastic inertial neural networksWentao Wang0Wei Chen1School of Mathematics, Physics and Statistics, Shanghai University of Engineering ScienceSchool of Statistics and Mathematics, Shanghai Lixin University of Accounting and FinanceAbstract By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state stability on the addressed model, which generalizes and refines the recent results. In addition, an example with numerical simulation is carried out to support the theoretical findings.https://doi.org/10.1186/s13662-021-03586-4Mean-square exponential input-to-state stabilityStochastic inertial neural networksItô’s formulaLyapunov–Krasovskii functional |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wentao Wang Wei Chen |
| spellingShingle |
Wentao Wang Wei Chen Mean-square exponential input-to-state stability of stochastic inertial neural networks Advances in Difference Equations Mean-square exponential input-to-state stability Stochastic inertial neural networks Itô’s formula Lyapunov–Krasovskii functional |
| author_facet |
Wentao Wang Wei Chen |
| author_sort |
Wentao Wang |
| title |
Mean-square exponential input-to-state stability of stochastic inertial neural networks |
| title_short |
Mean-square exponential input-to-state stability of stochastic inertial neural networks |
| title_full |
Mean-square exponential input-to-state stability of stochastic inertial neural networks |
| title_fullStr |
Mean-square exponential input-to-state stability of stochastic inertial neural networks |
| title_full_unstemmed |
Mean-square exponential input-to-state stability of stochastic inertial neural networks |
| title_sort |
mean-square exponential input-to-state stability of stochastic inertial neural networks |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2021-09-01 |
| description |
Abstract By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state stability on the addressed model, which generalizes and refines the recent results. In addition, an example with numerical simulation is carried out to support the theoretical findings. |
| topic |
Mean-square exponential input-to-state stability Stochastic inertial neural networks Itô’s formula Lyapunov–Krasovskii functional |
| url |
https://doi.org/10.1186/s13662-021-03586-4 |
| work_keys_str_mv |
AT wentaowang meansquareexponentialinputtostatestabilityofstochasticinertialneuralnetworks AT weichen meansquareexponentialinputtostatestabilityofstochasticinertialneuralnetworks |
| _version_ |
1716845597051322368 |