Positively invariant set
id:
positively-invariant-set-250-603332
title:
Positively invariant set
text:
In mathematical analysis, a positively invariant set is a set with the following properties: Suppose x ˙ = f is a dynamical system, x is a trajectory, and x 0 is the initial point. Let O := { x ∈ R n ∣ φ = 0 } where φ is a real-valued function. The set O is said to be positively invariant if x 0 ∈ O implies that x ∈ O ∀ t ≥ 0 In other words, once a trajectory of the system enters O , it will never leave it again.
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Positively_invariant_set
date created:
date modified:
2022-09-07T01:21:00Z
main entity:
{"identifier":"Q7233275","url":"https://www.wikidata.org/entity/Q7233275"}
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13
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13