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Stabilization by delay feedback control for highly nonlinear HSDDEs driven by Lévy noise | ||
| Journal of Mathematical Modeling | ||
| مقاله 11، دوره 12، شماره 4، اسفند 2024، صفحه 769-779 اصل مقاله (167.64 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.28174.2486 | ||
| نویسنده | ||
| Zhihao Geng* | ||
| School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China | ||
| چکیده | ||
| This research aims to investigate the stabilization of highly nonlinear hybrid stochastic differential delay equations (HSDDEs) with L'evy noise by delay feedback control. The coefficients of these systems satisfy a more general polynomial growth condition instead of classical linear growth condition. Precisely, an appropriate Lyapunov functional is constructed to analyze the stabilization of such systems in the sense of $H_{\infty}$-stability and asymptotic stability. The theoretical analysis indicates that the delay can affect the stability of highly nonlinear hybrid stochastic systems. | ||
| کلیدواژه‌ها | ||
| Stabilization؛ L\'evy noise؛ stochastic differential delay equations؛ delay feedback control | ||
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آمار تعداد مشاهده مقاله: 82 تعداد دریافت فایل اصل مقاله: 73 |
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