Construction of the destination set of a dynamic system in $\mathbb{R}^3$

Autor:	D. G. Kartashov, M. S. Tairova
Rok vydání:	2021
Předmět:	Set (abstract data type) Convex hull Dynamical systems theory Hyperplane Computer science Intersection (set theory) Point (geometry) General Medicine Support function Function (mathematics) Algorithm
Zdroj:	Researches in Mathematics and Mechanics. 25:83-94
ISSN:	2519-206X
DOI:	10.18524/2519-206x.2020.2(36).233801
Popis:	The article proposes two algorithms for the numerical construction of the convex hull of a set in three-dimensional space using its support function. The first uses the hyperplane intersection method to find the pivot points of a set. The second one is based on the deformation function and allows you to find an arbitrary point of the convex hull of a set, which is convenient in many applications. The algorithms are compared, and asymptotic complexities are found. The application of the proposed apparatus to finding the destination set of dynamical systems is shown. The dynamic system will be based on differential inclusion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9338b46177e4860ce5935887af69c3a6 https://doi.org/10.18524/2519-206x.2020.2(36).233801 Zobrazit plný text záznamu