Lyapunov equation

Lyapunov equation - equation from stability analysis. Article “Lyapunov equation” in English Wikipedia has 20.6 points for quality (as of July 1, 2025). The article contains 5 references and 8 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Lyapunov equation”, its content was written by 35 registered users of English Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 20 times in English Wikipedia and cited 52 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #63865 in September 2004
• Global: #128895 in September 2004

The highest popularity rank from 2008:

• Local (English): #298366 in December 2016
• Global: #481367 in May 2025

There are 8 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.

#	Language	Quality grade	Quality score
1	Chinese (zh) 李亞普諾夫方程		22.2556
2	English (en) Lyapunov equation		20.6004
3	Arabic (ar) معادلة ليابونوف		16.3873
4	Thai (th) สมการเลียปูนอฟ		15.5347
5	French (fr) Équation de Liapounov		14.4431
6	Korean (ko) 랴푸노프 방정식		10.9204
7	Japanese (ja) リアプノフ方程式		9.8636
8	Polish (pl) Równanie Lapunowa		8.0707

More...

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

The most popular language versions of the article "Lyapunov equation" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Lyapunov equation		395 854
2	Chinese (zh) 李亞普諾夫方程		16 370
3	Korean (ko) 랴푸노프 방정식		14 786
4	Japanese (ja) リアプノフ方程式		13 550
5	Polish (pl) Równanie Lapunowa		8 982
6	Thai (th) สมการเลียปูนอฟ		4 067
7	Arabic (ar) معادلة ليابونوف		2 103
8	French (fr) Équation de Liapounov		1 584

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

The most popular language versions of the article "Lyapunov equation" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Lyapunov equation		1 807
2	Japanese (ja) リアプノフ方程式		239
3	Chinese (zh) 李亞普諾夫方程		84
4	Korean (ko) 랴푸노프 방정식		58
5	French (fr) Équation de Liapounov		57
6	Polish (pl) Równanie Lapunowa		26
7	Thai (th) สมการเลียปูนอฟ		14
8	Arabic (ar) معادلة ليابونوف		6

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

Language versions of the article "Lyapunov equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Lyapunov equation		35
2	Korean (ko) 랴푸노프 방정식		6
3	Polish (pl) Równanie Lapunowa		5
4	Arabic (ar) معادلة ليابونوف		4
5	Japanese (ja) リアプノフ方程式		4
6	Thai (th) สมการเลียปูนอฟ		3
7	French (fr) Équation de Liapounov		2
8	Chinese (zh) 李亞普諾夫方程		2

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

Language versions of the article "Lyapunov equation" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) معادلة ليابونوف		0
2	English (en) Lyapunov equation		0
3	French (fr) Équation de Liapounov		0
4	Japanese (ja) リアプノフ方程式		0
5	Korean (ko) 랴푸노프 방정식		0
6	Polish (pl) Równanie Lapunowa		0
7	Thai (th) สมการเลียปูนอฟ		0
8	Chinese (zh) 李亞普諾夫方程		0

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

Language versions of the article "Lyapunov equation" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Lyapunov equation		20
2	Korean (ko) 랴푸노프 방정식		8
3	French (fr) Équation de Liapounov		6
4	Chinese (zh) 李亞普諾夫方程		5
5	Arabic (ar) معادلة ليابونوف		4
6	Thai (th) สมการเลียปูนอฟ		4
7	Polish (pl) Równanie Lapunowa		3
8	Japanese (ja) リアプノフ方程式		2

More...

#	Language	Value
ar	Arabic معادلة ليابونوف
en	English Lyapunov equation
fr	French Équation de Liapounov
ja	Japanese リアプノフ方程式
ko	Korean 랴푸노프 방정식
pl	Polish Równanie Lapunowa
th	Thai สมการเลียปูนอฟ
zh	Chinese 李亞普諾夫方程

Best Rank

English: #298366 12.2016

Global: #481367 05.2025

Best Rank

English: #63865 09.2004

Global: #128895 09.2004

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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