Uniform stability of stochastic impulsive systems: A new comparison method
This paper studies uniform stability problems of stochastic impulsive systems by using a new comparison method. We firstly establish a comparison principle between the stochastic impulsive system and its scalar comparison system. Based on the obtained comparison result, uniform stability and uniform...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Watam Press
2015
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| Online Access: | http://online.watsci.org/contents2015/v22n1b.html http://hdl.handle.net/20.500.11937/12371 |
| _version_ | 1848748057767706624 |
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| author | Xu, Honglei Zhou, Guanglu Caccetta, Louis Teo, Kok Lay |
| author_facet | Xu, Honglei Zhou, Guanglu Caccetta, Louis Teo, Kok Lay |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies uniform stability problems of stochastic impulsive systems by using a new comparison method. We firstly establish a comparison principle between the stochastic impulsive system and its scalar comparison system. Based on the obtained comparison result, uniform stability and uniform asymptotic stability of stochastic impulsive systems are established by analyzing those of comparison systems. Finally, a numerical example of a power system with random perturbations is presented to illustrate our results. |
| first_indexed | 2025-11-14T06:59:00Z |
| format | Journal Article |
| id | curtin-20.500.11937-12371 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:59:00Z |
| publishDate | 2015 |
| publisher | Watam Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-123712017-01-30T11:30:24Z Uniform stability of stochastic impulsive systems: A new comparison method Xu, Honglei Zhou, Guanglu Caccetta, Louis Teo, Kok Lay This paper studies uniform stability problems of stochastic impulsive systems by using a new comparison method. We firstly establish a comparison principle between the stochastic impulsive system and its scalar comparison system. Based on the obtained comparison result, uniform stability and uniform asymptotic stability of stochastic impulsive systems are established by analyzing those of comparison systems. Finally, a numerical example of a power system with random perturbations is presented to illustrate our results. 2015 Journal Article http://hdl.handle.net/20.500.11937/12371 http://online.watsci.org/contents2015/v22n1b.html Watam Press fulltext |
| spellingShingle | Xu, Honglei Zhou, Guanglu Caccetta, Louis Teo, Kok Lay Uniform stability of stochastic impulsive systems: A new comparison method |
| title | Uniform stability of stochastic impulsive systems: A new comparison method |
| title_full | Uniform stability of stochastic impulsive systems: A new comparison method |
| title_fullStr | Uniform stability of stochastic impulsive systems: A new comparison method |
| title_full_unstemmed | Uniform stability of stochastic impulsive systems: A new comparison method |
| title_short | Uniform stability of stochastic impulsive systems: A new comparison method |
| title_sort | uniform stability of stochastic impulsive systems: a new comparison method |
| url | http://online.watsci.org/contents2015/v22n1b.html http://hdl.handle.net/20.500.11937/12371 |