Noises for Impulsive Differential Systems
Stochastic feedback control has aroused folks’ notice, but little is known on the roles of stochastic noises for the dynamic behavior of impulsive differential systems. In this paper, we mainly study the problem of stochastic stabilization on explosive solutions of nonlinear impulsive dif...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8844666/ |
| _version_ | 1811211993785303040 |
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| author | Shengnan Hao Chunyan Zhang Lichao Feng Shaohong Yan |
| author_facet | Shengnan Hao Chunyan Zhang Lichao Feng Shaohong Yan |
| author_sort | Shengnan Hao |
| collection | DOAJ |
| description | Stochastic feedback control has aroused folks’ notice, but little is known on the roles of stochastic noises for the dynamic behavior of impulsive differential systems. In this paper, we mainly study the problem of stochastic stabilization on explosive solutions of nonlinear impulsive differential systems by noises. Under the one-sided polynomial growth condition, a nonlinear impulsive differential system may explode at a finite time. To suppress the explosive solution, we introduce two independent stochastic noises (polynomial and linear) such that there exists a unique global solution for the corresponding stochastically perturbed impulsive differential system, and the global solution is bounded and almost surely exponentially stable. |
| first_indexed | 2024-04-12T05:22:29Z |
| format | Article |
| id | doaj.art-5aa1528460724ff992cbd22a8b51d083 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T05:22:29Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-5aa1528460724ff992cbd22a8b51d0832022-12-22T03:46:26ZengIEEEIEEE Access2169-35362019-01-01713825313825910.1109/ACCESS.2019.29424558844666Noises for Impulsive Differential SystemsShengnan Hao0Chunyan Zhang1Lichao Feng2https://orcid.org/0000-0002-7320-4827Shaohong Yan3College of Information Engineering, North China University of Science and Technology, Tangshan, ChinaCollege of Science, North China University of Science and Technology, Tangshan, ChinaCollege of Science, North China University of Science and Technology, Tangshan, ChinaCollege of Science, North China University of Science and Technology, Tangshan, ChinaStochastic feedback control has aroused folks’ notice, but little is known on the roles of stochastic noises for the dynamic behavior of impulsive differential systems. In this paper, we mainly study the problem of stochastic stabilization on explosive solutions of nonlinear impulsive differential systems by noises. Under the one-sided polynomial growth condition, a nonlinear impulsive differential system may explode at a finite time. To suppress the explosive solution, we introduce two independent stochastic noises (polynomial and linear) such that there exists a unique global solution for the corresponding stochastically perturbed impulsive differential system, and the global solution is bounded and almost surely exponentially stable.https://ieeexplore.ieee.org/document/8844666/Impulsive differential systemsone-sided polynomial growth conditionexplosive solutionsstochastic noisestochastic stabilization |
| spellingShingle | Shengnan Hao Chunyan Zhang Lichao Feng Shaohong Yan Noises for Impulsive Differential Systems IEEE Access Impulsive differential systems one-sided polynomial growth condition explosive solutions stochastic noise stochastic stabilization |
| title | Noises for Impulsive Differential Systems |
| title_full | Noises for Impulsive Differential Systems |
| title_fullStr | Noises for Impulsive Differential Systems |
| title_full_unstemmed | Noises for Impulsive Differential Systems |
| title_short | Noises for Impulsive Differential Systems |
| title_sort | noises for impulsive differential systems |
| topic | Impulsive differential systems one-sided polynomial growth condition explosive solutions stochastic noise stochastic stabilization |
| url | https://ieeexplore.ieee.org/document/8844666/ |
| work_keys_str_mv | AT shengnanhao noisesforimpulsivedifferentialsystems AT chunyanzhang noisesforimpulsivedifferentialsystems AT lichaofeng noisesforimpulsivedifferentialsystems AT shaohongyan noisesforimpulsivedifferentialsystems |