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- Title
Stability Analysis for Time-Delay Systems via a New Negativity Condition on Quadratic Functions.
- Authors
Xiao, Shenping; Yu, Jin; Yang, Simon X.; Qiu, Yongfeng
- Abstract
This article studies the stability problem of linear systems with time-varying delays. First, a new negative condition is established for a class of quadratic functions whose variable is within a closed set. Then, based on this new condition, a couple of stability criteria for the system under study are derived by constructing an appropriate Lyapunov–Krasovskii functional. Finally, it is demonstrated through two numerical examples that the proposed stability criteria are efficient and outperform some existing methods.
- Subjects
STABILITY of linear systems; STABILITY criterion; TIME-varying systems; LINEAR matrix inequalities
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 17, p3096
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10173096