Теорема Барбашина — Красовського

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Теорема Барбашина — Красовського

Quality:

Krasovskii–LaSalle principle - concept in theory of differential equations, with applications in control theory. Article "Теорема Барбашина — Красовського" in Ukrainian Wikipedia has 17.4 points for quality (as of July 1, 2025). The article contains 3 references and 7 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Теорема Барбашина — Красовського", its content was written by 6 registered users of Ukrainian Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 4 times in Ukrainian Wikipedia and cited 26 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #2019 in November 2015
  • Global: #114183 in November 2015

The highest popularity rank from 2008:

  • Local (Ukrainian): #40737 in November 2015
  • Global: #845159 in May 2018

There are 6 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
LaSalle's invariance principle
30.8986
2Chinese (zh)
拉薩爾不變集原理
23.3849
3Ukrainian (uk)
Теорема Барбашина — Красовського
17.3913
4Catalan (ca)
Principi d'invariància de LaSalle
16.0953
5Italian (it)
Teorema di LaSalle
11.4436
6Polish (pl)
Reguła LaSalle’a
5.8035
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Теорема Барбашина — Красовського" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
LaSalle's invariance principle
195 304
2Italian (it)
Teorema di LaSalle
16 013
3Chinese (zh)
拉薩爾不變集原理
9 358
4Ukrainian (uk)
Теорема Барбашина — Красовського
1 229
5Polish (pl)
Reguła LaSalle’a
1 127
6Catalan (ca)
Principi d'invariància de LaSalle
211
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Теорема Барбашина — Красовського" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
LaSalle's invariance principle
1 108
2Italian (it)
Teorema di LaSalle
148
3Chinese (zh)
拉薩爾不變集原理
100
4Polish (pl)
Reguła LaSalle’a
58
5Catalan (ca)
Principi d'invariància de LaSalle
43
6Ukrainian (uk)
Теорема Барбашина — Красовського
9
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Теорема Барбашина — Красовського" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
LaSalle's invariance principle
28
2Italian (it)
Teorema di LaSalle
16
3Polish (pl)
Reguła LaSalle’a
6
4Ukrainian (uk)
Теорема Барбашина — Красовського
6
5Catalan (ca)
Principi d'invariància de LaSalle
4
6Chinese (zh)
拉薩爾不變集原理
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Теорема Барбашина — Красовського" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Principi d'invariància de LaSalle
1
2Polish (pl)
Reguła LaSalle’a
1
3English (en)
LaSalle's invariance principle
0
4Italian (it)
Teorema di LaSalle
0
5Ukrainian (uk)
Теорема Барбашина — Красовського
0
6Chinese (zh)
拉薩爾不變集原理
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Теорема Барбашина — Красовського" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
LaSalle's invariance principle
12
2Italian (it)
Teorema di LaSalle
7
3Ukrainian (uk)
Теорема Барбашина — Красовського
4
4Catalan (ca)
Principi d'invariància de LaSalle
1
5Polish (pl)
Reguła LaSalle’a
1
6Chinese (zh)
拉薩爾不變集原理
1
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in June 2025:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in June 2025:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Principi d'invariància de LaSalle
enEnglish
LaSalle's invariance principle
itItalian
Teorema di LaSalle
plPolish
Reguła LaSalle’a
ukUkrainian
Теорема Барбашина — Красовського
zhChinese
拉薩爾不變集原理

Popularity rank trends

Best Rank Ukrainian:
#40737
11.2015
Global:
#845159
05.2018

AI rank trends

Best Rank Ukrainian:
#2019
11.2015
Global:
#114183
11.2015

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Krasovskii–LaSalle principle from Wikipedia articles about Lyapunov stability, Lyapunov function, Joseph P. LaSalle, Nikolai Krasovsky and List of eponymous laws. Whereas reading the article about Krasovskii–LaSalle principle people most often go to Wikipedia articles on Lyapunov stability, Joseph P. LaSalle, Limit point, Nikolai Krasovsky and Stability theory.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information