Mean Square Stability of Impulsive Stochastic Differential Systems
Based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations. Numerical examples are given to illustrate the effectiveness of the theoretical results.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/613695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849414318958837760 |
|---|---|
| author | Shujie Yang Bao Shi Mo Li |
| author_facet | Shujie Yang Bao Shi Mo Li |
| author_sort | Shujie Yang |
| collection | DOAJ |
| description | Based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations. Numerical examples are given to illustrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-6d64914e709a40bda8e07adad58f1482 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-6d64914e709a40bda8e07adad58f14822025-08-20T03:33:52ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/613695613695Mean Square Stability of Impulsive Stochastic Differential SystemsShujie Yang0Bao Shi1Mo Li2Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaBased on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations. Numerical examples are given to illustrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2011/613695 |
| spellingShingle | Shujie Yang Bao Shi Mo Li Mean Square Stability of Impulsive Stochastic Differential Systems International Journal of Differential Equations |
| title | Mean Square Stability of Impulsive Stochastic Differential Systems |
| title_full | Mean Square Stability of Impulsive Stochastic Differential Systems |
| title_fullStr | Mean Square Stability of Impulsive Stochastic Differential Systems |
| title_full_unstemmed | Mean Square Stability of Impulsive Stochastic Differential Systems |
| title_short | Mean Square Stability of Impulsive Stochastic Differential Systems |
| title_sort | mean square stability of impulsive stochastic differential systems |
| url | http://dx.doi.org/10.1155/2011/613695 |
| work_keys_str_mv | AT shujieyang meansquarestabilityofimpulsivestochasticdifferentialsystems AT baoshi meansquarestabilityofimpulsivestochasticdifferentialsystems AT moli meansquarestabilityofimpulsivestochasticdifferentialsystems |