Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice
This paper is concerned with stability problems of stochastic delay differential systems with variable impulses due to logic choice. Firstly, a class of variable impulses due to logic choice is introduced in this paper which is more general than the logic impulses established by (Suo and Sun, 2015)...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9446111/ |
| _version_ | 1811210308542267392 |
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| author | Chunxiang Li |
| author_facet | Chunxiang Li |
| author_sort | Chunxiang Li |
| collection | DOAJ |
| description | This paper is concerned with stability problems of stochastic delay differential systems with variable impulses due to logic choice. Firstly, a class of variable impulses due to logic choice is introduced in this paper which is more general than the logic impulses established by (Suo and Sun, 2015) and (Zhang <italic>et al.</italic>, 2018). Then, by establishing a connection between the stochastic delay differential system with logic impulses and a corresponding stochastic delay differential system without logic impulses, some sufficient conditions for stability of the systems are obtained. Finally, the application in a class of linear stochastic delay differential systems with logic impulses is discussed, and several stability criteria together with two numerical examples are given. |
| first_indexed | 2024-04-12T04:53:27Z |
| format | Article |
| id | doaj.art-627ccbdf84984389b337937176666c2c |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T04:53:27Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-627ccbdf84984389b337937176666c2c2022-12-22T03:47:14ZengIEEEIEEE Access2169-35362021-01-019815468155310.1109/ACCESS.2021.30857579446111Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic ChoiceChunxiang Li0https://orcid.org/0000-0002-8931-1790School of Mathematical Sciences, Tongji University, Shanghai, ChinaThis paper is concerned with stability problems of stochastic delay differential systems with variable impulses due to logic choice. Firstly, a class of variable impulses due to logic choice is introduced in this paper which is more general than the logic impulses established by (Suo and Sun, 2015) and (Zhang <italic>et al.</italic>, 2018). Then, by establishing a connection between the stochastic delay differential system with logic impulses and a corresponding stochastic delay differential system without logic impulses, some sufficient conditions for stability of the systems are obtained. Finally, the application in a class of linear stochastic delay differential systems with logic impulses is discussed, and several stability criteria together with two numerical examples are given.https://ieeexplore.ieee.org/document/9446111/Stabilitystochasticdelaylogicimpulses |
| spellingShingle | Chunxiang Li Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice IEEE Access Stability stochastic delay logic impulses |
| title | Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice |
| title_full | Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice |
| title_fullStr | Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice |
| title_full_unstemmed | Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice |
| title_short | Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice |
| title_sort | stability of stochastic delay differential systems with variable impulses due to logic choice |
| topic | Stability stochastic delay logic impulses |
| url | https://ieeexplore.ieee.org/document/9446111/ |
| work_keys_str_mv | AT chunxiangli stabilityofstochasticdelaydifferentialsystemswithvariableimpulsesduetologicchoice |