Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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PRACTICAL ${\phi}_0$-STABILITY FOR IMPULSIVE DYNAMIC SYSTEMS WITH TIME SCALES AND INITIAL TIME DIFFERENCE

  • Chen, Weisong (School of Science, University of Jinan) ;
  • Han, Zhenlai (School of Science, University of Jinan) ;
  • Sun, Shurong (School of Science, University of Jinan) ;
  • Li, Tongxing (School of Control Science and Engineering, Shandong University)
  • Received : 2010.04.18
  • Accepted : 2010.09.13
  • Published : 2011.05.30
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Abstract

In this paper, we study the impulsive dynamic systems on time scales with initial time difference. By employing cone-valued Lyapunov functions, some comparison theorems and several practical ${\phi}_0$-stability criteria for impulsive system on time scales with initial time difference are obtained.

Keywords

References

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