Sufficient Conditions of Interval Stability of a Class of Linear Impulsive Systems with a Delay


Slynko V., TUNÇ C. , Erdur S.

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, cilt.59, ss.8-18, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 59 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1134/s1064230719060145
  • Dergi Adı: JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
  • Sayfa Sayıları: ss.8-18

Özet

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.