We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Effect of noise on the solutions of non‐linear delay systems.
- Authors
Zhu, Quanxin; Song, Shiyun; Shi, Peng
- Abstract
In this study the authors are concerned with the effect of noise on the solutions of a class of non‐linear delay systems. The systems under investigation are non‐linear without linear growth condition requirement, which makes the analysis difficult to ensure the existence and uniqueness of solutions. The authors first introduce a set of new non‐linear growth conditions with delays, and then provide the existence and uniqueness of solutions as well as some properties of the solutions. The new condition only requires the knowledge of the coefficient of the highest term, which is much easier to check in practice than the traditional conditions. Finally, an example is given to show the effectiveness and potential of theoretic results obtained.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 14, p1822
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2017.0963