Sufficient conditions for pulse phenomena of nonlinear systems with state-dependent impulses

Volume 9, Issue 5, pp 2649--2657 http://dx.doi.org/10.22436/jnsa.009.05.61

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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.

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Keywords

• Pulse phenomena
• nonlinear systems
• state-dependent impulses
• impulsive control theory.

MSC

•  49N25
•  35R12
•  93C10

References

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