Sufficient conditions for pulse phenomena of nonlinear systems with state-dependent impulses
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Authors
Guixia Sui
- School of Mathematical Sciences, Shandong Normal University, Ji'nan, 250014, P. R. China.
- Primary Education, Jinan Preschool Education College, Ji'nan, 250307, P. R. China.
Xiaodi Li
- School of Mathematical Sciences, Shandong Normal University, Ji'nan, 250014, P. R. China.
Jinjun Fan
- School of Mathematical Sciences, Shandong Normal University, Ji'nan, 250014, P. R. China.
Donal O'Regan
- Department of Mathematics, National University of Ireland, Galway, Ireland.
Abstract
This paper is concerned with the problem of pulse phenomena of nonlinear systems with state-dependent
impulses. Some sufficient conditions which guarantee the absence or presence of pulse phenomena are derived
using impulsive control theory. Those results are more general than that given in some earlier references.
Two examples are given to illustrate the feasibility and advantage of the results.
Share and Cite
ISRP Style
Guixia Sui, Xiaodi Li, Jinjun Fan, Donal O'Regan, Sufficient conditions for pulse phenomena of nonlinear systems with state-dependent impulses, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2649--2657
AMA Style
Sui Guixia, Li Xiaodi, Fan Jinjun, O'Regan Donal, Sufficient conditions for pulse phenomena of nonlinear systems with state-dependent impulses. J. Nonlinear Sci. Appl. (2016); 9(5):2649--2657
Chicago/Turabian Style
Sui, Guixia, Li, Xiaodi, Fan, Jinjun, O'Regan, Donal. "Sufficient conditions for pulse phenomena of nonlinear systems with state-dependent impulses." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2649--2657
Keywords
- Pulse phenomena
- nonlinear systems
- state-dependent impulses
- impulsive control theory.
MSC
References
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