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Sufficient Conditions of Interval Stability of a Class of Linear Impulsive Systems with a Delay
Journal of Computer and Systems Sciences International ( IF 0.5 ) Pub Date : 2020-03-30 , DOI: 10.1134/s1064230719060145 V. I. Slynko , Cemil Tunç , Sultan Erdur
中文翻译:
一类线性时滞脉冲系统区间稳定性的充分条件。
更新日期:2020-03-30
Journal of Computer and Systems Sciences International ( IF 0.5 ) Pub Date : 2020-03-30 , DOI: 10.1134/s1064230719060145 V. I. Slynko , Cemil Tunç , Sultan Erdur
Abstract
A class of linear periodic impulsive systems with a delay is considered. Sufficient conditions of asymptotic stability are established for systems of this class, reducing the study of the original system’s stability to a similar problem for a system of linear impulsive differential equations (without a delay). This auxiliary result is used to study the interval stability of a linear impulsive system with a delay under general assumptions about the dynamic properties of continuous and discrete components. Examples are given to illustrate the effectiveness of the obtained results.中文翻译:
一类线性时滞脉冲系统区间稳定性的充分条件。