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Stability and Controllability of Differential Equations

Stability and Controllability of Differential Equations is a research topic within Control and Systems Engineering. Science Explorer counts 31k research works in it since 1950. 19.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the analysis and control of distributed parameter systems, particularly emphasizing boundary control, stability, wave equations, attractors, feedback control, hyperbolic partial differential equations (PDEs), viscoelasticity, global existence, and controllability.

  • Distributed Parameter Systems
  • Boundary Control
  • Stability
  • Wave Equations
  • Attractors
  • Feedback Control
  • Hyperbolic PDEs
  • Viscoelasticity
  • Global Existence
  • Controllability
Research works
31k
fractional, since 1950
In the world top 10%
5.9k
per year above
Top-10% rate
19.1%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+8%
the tick is no change

Which countries lead Stability and Controllability of Differential Equations research?

By volume, China and France publish the most (1.6k and 292 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 1.6k works
  2. 2 France 292 works
  3. 3 United States 276 works
  4. 4 Russia 206 works
  5. 5 Brazil 167 works
  6. 6 India 154 works
  7. 7 Germany 147 works
  8. 8 Italy 137 works
  9. 9 Algeria 136 works
  10. 10 Morocco 124 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.

China: 49.1%France: 9.1%United States: 8.6%Russia: 6.4%6 others listed: 26.9%49%largest
China1,579 · 49.1%France292 · 9.1%United States276 · 8.6%Russia206 · 6.4%6 others listed864 · 26.9%

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

Which institutions lead Stability and Controllability of Differential Equations research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Stability and Controllability of Differential Equations research, followed by Southwest University and Beijing Institute of Technology.

Who are the leading researchers in Stability and Controllability of Differential Equations?

The most-cited researchers publishing on Stability and Controllability of Differential Equations include Guanrong Chen, Peng Shi and Zidong Wang.

  1. 1 Guanrong Chen Hong Kong 5.4k citations
  2. 2 Peng Shi Australia 5k citations
  3. 3 Zidong Wang United Kingdom 4.4k citations
  4. 4 Jinde Cao China 4.2k citations
  5. 5 Qing‐Long Han Australia 3.8k citations
  6. 6 Brian D. O. Anderson Australia 3.6k citations
  7. 7 John C. Doyle United States 3.3k citations
  8. 8 Lihua Xie Singapore 3.2k citations
  9. 9 Terence Tao United States 3.1k citations
  10. 10 Miroslav Krstić United States 3.1k citations

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

Where is Stability and Controllability of Differential Equations research done?

The largest centres of Stability and Controllability of Differential Equations research in 2022–2025 are Beijing (China), Shanghai (China), Nanjing (China) and Paris (France). Among places with at least 20 works in it, it is an unusually large share of all research in Meknes and Qufu.

Largest cities, 2022–2025

  1. 1 Beijing China 167 works
  2. 2 Shanghai China 99 works
  3. 3 Nanjing China 84 works
  4. 4 Paris France 83 works
  5. 5 Moscow Russia 79 works
  6. 6 Guangzhou China 66 works
  7. 7 Changsha China 65 works
  8. 8 Chengdu China 63 works
  9. 9 Jinan China 60 works
  10. 10 Lanzhou China 57 works

Where it is the local speciality

  1. MeknesMA · 22.9 works36×
  2. QufuCN · 20.8 works25×
← less than its size predictsmore →

Location quotient: how much more of its research is in Stability and Controllability of Differential Equations than the world average.

See Stability and Controllability of Differential Equations on the map

Where is the best place to study Stability and Controllability of Differential Equations?

Among universities, judged by research, Qassim University, Vellore Institute of Technology University and Université Sultan Moulay Slimane 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%20%40%60%mean 17.43%fractional works in this node (log) →share in the world top 10% →Qassim University: 19, 12.8%Vellore Institute of Technology University: 24, 53.0%Université Sultan Moulay Slimane: 15, 35.1%Université Moulay Ismail de Meknes: 23, 3.3%University of Sfax: 18, 5.5%Southwest University: 32, 11.5%Sidi Mohamed Ben Abdellah University: 17, 10.6%Cadi Ayyad University: 20, 10.4%Université Djilali de Sidi Bel Abbès: 14, 13.4%Hunan Normal University: 18, 18.7%Vellore Institute of…Université Sultan Mo…Qassim UniversityUniversité Moulay Is…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Qassim UniversitySaudi Arabia 64.612.8%16.7×19 +184.0%
2 Vellore Institute of Technology UniversityIndia 62.753.0%5.7×24
3 Université Sultan Moulay SlimaneMorocco 60.035.1%24.6×15
4 Université Moulay Ismail de MeknesMorocco 57.73.3%51.0×23 +185.0%
5 University of SfaxTunisia 56.05.5%16.9×18 +153.8%
6 Southwest UniversityChina 54.011.5%13.6×32 +38.0%
7 Sidi Mohamed Ben Abdellah UniversityMorocco 53.310.6%14.2×17 +147.4%
8 Cadi Ayyad UniversityMorocco 52.910.4%24.5×20 +94.1%
9 Université Djilali de Sidi Bel AbbèsAlgeria 52.613.4%59.3×14 +116.3%
10 Hunan Normal UniversityChina 51.818.7%17.4×18 +49.5%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Stability and Controllability of Differential Equations research growing?

Output in 2018–2022 was 8% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Stability and Controllability of Differential Equations.

19801990200020102020
grewheldshrank

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

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.