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http://dx.doi.org/10.14317/jami.2011.29.3_4.891

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)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 891-900 More about this Journal
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
Impulsive dynamic systems; Initial time difference; Practical ${\phi}_0$-stability; Comparison theorem;
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