C 0 –Semigroups Approach to the Reliability Model Based on Robot-Safety System

التفاصيل البيبلوغرافية
العنوان:	C 0 –Semigroups Approach to the Reliability Model Based on Robot-Safety System
المؤلفون:	Ehmet Kasim, Aihemaitijiang Yumaier
المصدر:	Axioms, Vol 13, Iss 7, p 423 (2024)
بيانات النشر:	MDPI AG
سنة النشر:	2024
المجموعة:	Directory of Open Access Journals: DOAJ Articles
مصطلحات موضوعية:	robot-safety system, C 0 –semigroups, well-posedness, exponential stability, reliability indices, Mathematics, QA1-939
الوصف:	This paper considers a system with one robot and n safety units (one of which works while the others remain on standby), which is described by an integro-deferential equation. The system can fail in the following three ways: fails with an incident, fails safely and fails due to the malfunction of the robot. Using the C 0 – semigroups theory of linear operators, we first show that the system has a unique non-negative, time-dependent solution. Then, we obtain the exponential convergence of the time-dependent solution to its steady-state solution. In addition, we study the asymptotic behavior of some time-dependent reliability indices and present a numerical example demonstrating the effects of different parameters on the system.
نوع الوثيقة:	article in journal/newspaper
اللغة:	English
تدمد:	2075-1680
Relation:	https://www.mdpi.com/2075-1680/13/7/423; https://doaj.org/toc/2075-1680; https://doaj.org/article/063448c9ba694c7cab73aab74093df72
DOI:	10.3390/axioms13070423
الاتاحة:	https://doi.org/10.3390/axioms13070423 https://doaj.org/article/063448c9ba694c7cab73aab74093df72
رقم الانضمام:	edsbas.68DB71D4
قاعدة البيانات:	BASE

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الوصف
تدمد:	20751680
DOI:	10.3390/axioms13070423