Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method
This paper generalizes Razumikhin-type theorem and Krasovskii stability theorem of impulsive stochastic delay systems. By proposing uniformly stable function (USF) in the form of impulse as a new tool, some properties about USF and some novel pth moment decay theorems are derived. Based on these ne...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/33475 |
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| _version_ | 1850252228927946752 |
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| author | Lijun Pan Jianqiang Hu Jinde Cao |
| author_facet | Lijun Pan Jianqiang Hu Jinde Cao |
| author_sort | Lijun Pan |
| collection | DOAJ |
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This paper generalizes Razumikhin-type theorem and Krasovskii stability theorem of impulsive stochastic delay systems. By proposing uniformly stable function (USF) in the form of impulse as a new tool, some properties about USF and some novel pth moment decay theorems are derived. Based on these new theorems, the stability theorems of impulsive stochastic linear delay system are acquired via the Razumikhin method and the Krasovskii method. The obtained results enhance the elasticity of the impulsive gain by comparing the previous results. Finally, numerical examples are given to demonstrate the effectiveness of theoretical results.
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| format | Article |
| id | doaj-art-79d1261497f34a3bbff4cde9d1591384 |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-79d1261497f34a3bbff4cde9d15913842025-08-20T01:57:43ZengVilnius University PressNonlinear Analysis1392-51132335-89632023-10-0128610.15388/namc.2023.28.33475Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function methodLijun Pan0Jianqiang Hu1Jinde Cao2Lingnan Normal UniversitySoutheast UniversitySoutheast University This paper generalizes Razumikhin-type theorem and Krasovskii stability theorem of impulsive stochastic delay systems. By proposing uniformly stable function (USF) in the form of impulse as a new tool, some properties about USF and some novel pth moment decay theorems are derived. Based on these new theorems, the stability theorems of impulsive stochastic linear delay system are acquired via the Razumikhin method and the Krasovskii method. The obtained results enhance the elasticity of the impulsive gain by comparing the previous results. Finally, numerical examples are given to demonstrate the effectiveness of theoretical results. https://www.journals.vu.lt/nonlinear-analysis/article/view/33475stochastic delay systemsRazumikhinKrasovskiiimpulseuniformly stable function |
| spellingShingle | Lijun Pan Jianqiang Hu Jinde Cao Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method Nonlinear Analysis stochastic delay systems Razumikhin Krasovskii impulse uniformly stable function |
| title | Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| title_full | Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| title_fullStr | Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| title_full_unstemmed | Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| title_short | Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| title_sort | razumikhin and krasovskii stability of impulsive stochastic delay systems via uniformly stable function method |
| topic | stochastic delay systems Razumikhin Krasovskii impulse uniformly stable function |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/33475 |
| work_keys_str_mv | AT lijunpan razumikhinandkrasovskiistabilityofimpulsivestochasticdelaysystemsviauniformlystablefunctionmethod AT jianqianghu razumikhinandkrasovskiistabilityofimpulsivestochasticdelaysystemsviauniformlystablefunctionmethod AT jindecao razumikhinandkrasovskiistabilityofimpulsivestochasticdelaysystemsviauniformlystablefunctionmethod |