PRACTICAL STABILITY AND BOUNDEDNESS CRITERIA OF IMPULSIVE DIFFERENTIAL SYSTEM WITH INITIAL TIME DIFFERENCE

被引:0
作者
Mahajan, Pallvi [1 ,2 ]
Srivastava, Sanjay Kumar [2 ]
Dogra, Rakesh [2 ]
机构
[1] Inder Kumar Gujral Punjab Tech Univ, Kapurthala 144601, Punjab, India
[2] Beant Coll Engn & Technol, Gurdaspur 143521, Punjab, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2021年 / 11卷 / 02期
关键词
Impulsive differential system; practical stability; boundedness; perturbed Lyapunov function; initial time difference;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an impulsive differential system is investigated for the first time for practical stability and boundedness criteria with respect to initial time difference. The investigations are carried out by perturbing Lyapunov functions and by using comparison results. A generalized Lyapunov function has been used for the investigation. The present results indicate that the stability criteria significantly depend on the moment of impulses.
引用
收藏
页码:502 / 513
页数:12
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