Stability of Cayley dynamic systems with impulsive effects

被引：0
|
作者：
Awais Younus
Gulnaz Atta
Ahmad Aloqaily
Nabil Mlaiki
Thabet Abdeljawad
机构：
[1] Bahauddin Zakariya University,Centre for Advanced Studies in Pure and Applied Mathematics
[2] University of Education,Department of Mathematics
[3] Prince Sultan University,Department of Mathematics and Sciences
[4] Western Sydney University,School of computer, Data and Mathematical Sciences
[5] China Medical University,Department of Medical Research
[6] Kyung Hee University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2023卷
关键词：
Dynamic systems; Impulsive exponential matrix; Cayley transform; Regressive matrix;
D O I：
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中图分类号：
学科分类号：
摘要：
Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established. The fundamental tool is an impulsive exponential matrix for exponential stability.
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