Effect of noise on the solutions of non‐linear delay systems
| Autor: | Peng Shi, Quanxin Zhu, Shiyun Song |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Class (set theory) Control and Optimization Computer science 02 engineering and technology Computer Science Applications Term (time) Human-Computer Interaction Set (abstract data type) Noise Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Uniqueness Electrical and Electronic Engineering Linear growth |
| Zdroj: | IET Control Theory & Applications. 12:1822-1829 |
| ISSN: | 1751-8652 1751-8644 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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