Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation

Autor: Qiang Xiao, Yin Yang, Tingwen Huang
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IEEE Access, Vol 9, Pp 34660-34666 (2021)
Druh dokumentu: article
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2021.3061681
Popis: This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equation on time scale, criteria of exponential stability of the system under consideration are obtained and they are robust to time delay and time scale to some extent. The theoretical results are applied to study stability for a class of linear singular system, and they are validated via two numerical examples.
Databáze: Directory of Open Access Journals