Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method.
| dc.contributor.author | Haydar Akca | |
| dc.contributor.author | Hua, Jingting | |
| dc.contributor.author | Guixia Suib | |
| dc.contributor.author | ETAL.. | |
| dc.date.accessioned | 2022-01-08T08:26:53Z | |
| dc.date.accessioned | 2023-08-23T05:12:27Z | |
| dc.date.available | 2022-01-08T08:26:53Z | |
| dc.date.available | 2023-08-23T05:12:27Z | |
| dc.date.issued | 2018-02 | |
| dc.description | Impulsive differential systems provide basic mathematical models to describe the phenomenon of abrupt changes at certain instants in their states, and the corresponding theory of impulsive differential systems has been rapidly developed in the past decades, see [1, 4, 14, 15, 21]. In general, we can see an impulsive system as a hybrid one which is composed of discrete dynamics, continuous dynamics, criteria for deciding when the states of the system are to be reset. Therefore, an impulsive system has continuous and discrete dynamic behaviors | en_US |
| dc.description.abstract | In this paper, we discuss the stability problem of the impulsive differential systems with state-dependent impulses. By using the linear decomposition methods, some sufficient conditions ensuring stability of the impulsive differential systems with state-dependent impulses are obtained and the estimate of the solution of such nonlinear systems is also acquired. Our results improve and generalize some of the known results given in earlier references. An example is given to demonstrate our results. | en_US |
| dc.identifier.citation | Hu, J., Sui, G., Akca, H., & Li, X. (2017). Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method. Journal of Nonlinear Sciences & Applications (JNSA), 10(9). | en_US |
| dc.identifier.uri | https://dspace-uat.adu.ac.ae/handle/1/2188 | |
| dc.language.iso | en | en_US |
| dc.publisher | JSR Publication | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Impulsive differential systems | en_US |
| dc.subject | State-dependent impulses | en_US |
| dc.title | Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method. | en_US |
| dc.title.alternative | Journal of Nonlinear Sciences & Applications (JNSA), 10(9). | en_US |
| dc.type | Article | en_US |