Sufficient Conditions of Interval Stability of a Class of Linear Impulsive Systems with a Delay
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, cilt.59, sa.1, ss.8-18, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 59 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.1134/s1064230719060145
- Dergi Adı: JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
- Sayfa Sayıları: ss.8-18
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
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.