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Mathematical Control Systems and Analysis

Mathematical Control Systems and Analysis is a research topic within Artificial Intelligence. Science Explorer counts 5.6k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the application of fuzzy computing, intelligent systems, and soft computing techniques in various domains such as decision support systems, reconfigurable computing, green computing, IoT, and safety-critical systems. It also explores the use of artificial neural networks and machine learning in these contexts.

  • Fuzzy Computing
  • Intelligent Systems
  • Soft Computing
  • Decision Support Systems
  • Artificial Neural Networks
  • Reconfigurable Computing
  • Green Computing
  • Internet of Things (IoT)
  • Safety-Critical Systems
  • Machine Learning
Research works
5.6k
fractional, since 1950
In the world top 10%
553
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-5%
the tick is no change
Largest producer
Russia
41% of the 10 largest, 2022-now
Mathematical Control Systems and Analysis

Which countries lead Mathematical Control Systems and Analysis research?

By volume, Russia and Ukraine publish the most (355 and 223 works in 2022-now).

By volume, 2022-now

  1. 1 Russia 355 works
  2. 2 Ukraine 223 works
  3. 3 China 69 works
  4. 4 United States 67 works
  5. 5 Germany 51 works
  6. 6 Poland 27 works
  7. 7 Uzbekistan 23 works
  8. 8 Kazakhstan 21 works
  9. 9 Belarus 16 works
  10. 10 Azerbaijan 13 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

Russia: 41.0%Ukraine: 25.8%China: 8.0%United States: 7.8%6 others listed: 17.5%41%largest
Russia355 · 41.0%Ukraine223 · 25.8%China69 · 8.0%United States67 · 7.8%6 others listed151 · 17.5%

Shares of the rows listed above, not of the whole node.

Which institutions lead Mathematical Control Systems and Analysis research?

By volume in 2022-now, Russian Academy of Sciences publishes the most Mathematical Control Systems and Analysis research, followed by National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” and Weatherford College.

By volume, 2022-now

  1. 1 Russian Academy of SciencesRussia 49 works
  2. 2 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”Ukraine 18 works
  3. 3 Weatherford CollegeUnited States 17 works
  4. 4 Lomonosov Moscow State UniversityRussia 17 works
  5. 5 National Academy of Sciences of UkraineUkraine 17 works
  6. 6 Lviv Polytechnic National UniversityUkraine 12 works
  7. 7 Peter the Great St. Petersburg Polytechnic UniversityRussia 12 works
  8. 8 Moscow Aviation InstituteRussia 11 works
  9. 9 State University "Kyiv Aviation Institute"Ukraine 11 works
  10. 10 V. N. Karazin Kharkiv National UniversityUkraine 10 works

Who are the leading researchers in Mathematical Control Systems and Analysis?

The most-cited researchers publishing on Mathematical Control Systems and Analysis include Lotfi A. Zadeh and Guanrong Chen.

  1. 1 Lotfi A. Zadeh United States 141k citations
  2. 2 Guanrong Chen China 116k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Mathematical Control Systems and Analysis?

The most cited paper in Mathematical Control Systems and Analysis is "Asymptotic Analysis of Periodic Structures" (Alain Bensoussan, J. L. Lions, George Papanicolaou et al., 1979), with 1,697 citations. Next come "Analysis of feedback systems with structured uncertainties" (1,637) and "Structural controllability" (1,436).

Most cited papers
#PaperReleasedCitations
1 Asymptotic Analysis of Periodic Structures Alain Bensoussan, J. L. Lions, George Papanicolaou et al. · Journal of Applied Mechanics Open access Jun 1979 1,697
2 Analysis of feedback systems with structured uncertainties John C. Doyle · IEE Proceedings D Control Theory and Applications 1982 1,637
3 Structural controllability Ching-Tai Lin · IEEE Transactions on Automatic Control Jun 1974 1,436
4 Advances in the linguistic synthesis of fuzzy controllers Ebrahim H. Mamdani · International Journal of Man-Machine Studies Nov 1976 961
5 On the stabilization of decentralized control systems Shih-Ho Wang, Edward Joseph Davison · IEEE Transactions on Automatic Control Oct 1973 933
All 100 most cited papers, with filters and sorting

Where is Mathematical Control Systems and Analysis research done?

The largest centres of Mathematical Control Systems and Analysis research in 2022-now are Moscow (Russia), Kyiv (Ukraine), Saint Petersburg (Russia) and Kharkiv (Ukraine). Among places with at least 20 works in it, it is an unusually large share of all research in Kharkiv, Kyiv and Saint Petersburg.

Largest cities, 2022-now

  1. 1 MoscowRussia 128 works
  2. 2 KyivUkraine 73 works
  3. 3 Saint PetersburgRussia 58 works
  4. 4 KharkivUkraine 48 works
  5. 5 LvivUkraine 18 works
  6. 6 WeatherfordUnited States 17 works
  7. 7 TashkentUzbekistan 17 works
  8. 8 Rostov-on-DonRussia 16 works
  9. 9 MinskBelarus 13 works
  10. 10 VoronezhRussia 12 works

Where it is the local speciality

  1. KharkivUA · 47.8 works47×
  2. KyivUA · 72.7 works26×
  3. Saint PetersburgRU · 58.1 works22×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Mathematical Control Systems and Analysis than the world average.

See Mathematical Control Systems and Analysis on the map

Where is the best place to study Mathematical Control Systems and Analysis?

Among universities, judged by research, Lomonosov Moscow State University, National Aerospace University – Kharkiv Aviation Institute and Weatherford College score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%mean 10.71%fractional works in this field (log) →share of work in the world top 10% →Lomonosov Moscow Sta…National Aerospace U…Weatherford CollegeNational Technical U…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Lomonosov Moscow State UniversityRussia 75.622.7%23.0×17 -2.4%
2National Aerospace University – Kharkiv Aviation InstituteUkraine 57.415.0%193.7×9 +89.8%
3Weatherford CollegeUnited States 55.99.4%14.7×17 +347.4%
4National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”Ukraine 48.47.7%90.4×18 +30.4%
5Peter the Great St. Petersburg Polytechnic UniversityRussia 48.38.8%62.9×12 +41.5%
6Russian University of TransportRussia 46.514.7%181.5×10 +250.0%
7State University "Kyiv Aviation Institute"Ukraine 37.111.4%79.7×11 +10.1%
8Lviv Polytechnic National UniversityUkraine 34.311.0%51.5×12 -31.9%
9Moscow Aviation InstituteRussia 26.73.9%77.4×11 +10.4%
10V. N. Karazin Kharkiv National UniversityUkraine 21.32.5%59.1×10 +13.9%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Mathematical Control Systems and Analysis, country by country

Is Mathematical Control Systems and Analysis research growing?

Output in 2022-2025 was 5% lower than in 2018-2021, peaking in 2021.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Mathematical Control Systems and Analysis as a percentage of every work published that year, 0.0042% in 2024.

still counting0.010%0.020%Mathematical Control Systems and Analysis0.0040% in 202519801990200020102020

Fractional works of Mathematical Control Systems and Analysis over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Mathematical Control Systems and Analysis10.4% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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