Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method
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Authors
Jingting Hu
- School of Mathematical Sciences, University of Jinan, Ji'nan 250022, P. R. China.
Guixia Sui
- Primary Education Department, Jinan Preschool Education College, Ji'nan 250307, P. R. China.
- Department of Mathematics, College of Arts and Science Faculty, Abu Dhabi University, P.O. Box 59911, Abu Dhabi, United Arab Emirates.
Haydar Akca
- Department of Mathematics, College of Arts and Science Faculty, Abu Dhabi University, P.O. Box 59911, Abu Dhabi, United Arab Emirates.
Xiaodi Li
- School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, P. R. China.
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.
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ISRP Style
Jingting Hu, Guixia Sui, Haydar Akca, Xiaodi Li, Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 5052--5063
AMA Style
Hu Jingting, Sui Guixia, Akca Haydar, Li Xiaodi, Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method. J. Nonlinear Sci. Appl. (2017); 10(9):5052--5063
Chicago/Turabian Style
Hu, Jingting, Sui, Guixia, Akca, Haydar, Li, Xiaodi. "Stability of impulsive differential systems with state-dependent impulses via the linear decomposition method." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 5052--5063
Keywords
- Stability
- impulsive differential systems
- state-dependent impulses
- linear decomposition methods
MSC
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