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Topic · Control and Systems Engineering

Control and Stability of Dynamical Systems

Control and Stability of Dynamical Systems is a research topic within Control and Systems Engineering. Science Explorer counts 13k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the modeling and control of Port-Hamiltonian systems, with an emphasis on interconnection, damping assignment, passivity-based control, stabilization, controlled Lagrangians, contraction analysis, energy shaping, and their application to nonlinear and mechanical systems.

  • Interconnection
  • Damping Assignment
  • Passivity-Based Control
  • Hamiltonian Systems
  • Stabilization
  • Controlled Lagrangians
  • Contraction Analysis
  • Energy Shaping
  • Nonlinear Systems
  • Mechanical Systems
Research works
13k
fractional, since 1950
In the world top 10%
1.3k
per year above
Top-10% rate
10.1%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-3%
the tick is no change
Largest producer
China
43% of the 10 largest, 2022-now
Control and Stability of Dynamical Systems

Which countries lead Control and Stability of Dynamical Systems research?

By volume, China and the United States publish the most (660 and 230 works in 2022-now).

By volume, 2022-now

  1. 1 China 660 works
  2. 2 United States 230 works
  3. 3 France 132 works
  4. 4 Germany 113 works
  5. 5 India 87 works
  6. 6 Italy 74 works
  7. 7 United Kingdom 71 works
  8. 8 Japan 54 works
  9. 9 Mexico 53 works
  10. 10 Russia 46 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: 43.4%United States: 15.2%France: 8.7%Germany: 7.5%6 others listed: 25.3%43%largest
China660 · 43.4%United States230 · 15.2%France132 · 8.7%Germany113 · 7.5%6 others listed384 · 25.3%

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

Which institutions lead Control and Stability of Dynamical Systems research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Control and Stability of Dynamical Systems research, followed by Harbin Institute of Technology and Russian Academy of Sciences.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 57 works
  2. 2 Harbin Institute of TechnologyChina 30 works
  3. 3 Russian Academy of SciencesRussia 17 works
  4. 4 Southeast UniversityChina 15 works
  5. 5 University of GroningenNetherlands 14 works
  6. 6 Northeastern UniversityChina 14 works
  7. 7 Imperial College LondonUnited Kingdom 13 works
  8. 8 Beihang UniversityChina 13 works
  9. 9 Qufu Normal UniversityChina 12 works
  10. 10 Chinese Academy of SciencesChina 12 works

Who are the leading researchers in Control and Stability of Dynamical Systems?

The most-cited researchers publishing on Control and Stability of Dynamical Systems include Frede Blaabjerg, Stephen Boyd and Josep Maria Guerrero.

  1. 1 Frede Blaabjerg Denmark 203k citations
  2. 2 Stephen Boyd United States 142k citations
  3. 3 Josep Maria Guerrero Denmark 123k citations
  4. 4 Guanrong Chen China 116k citations
  5. 5 George Em Karniadakis United States 113k citations
  6. 6 Kang Xu United States 112k citations
  7. 7 Jinde Cao China 104k citations
  8. 8 Xuemin Shen Canada 104k 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 Control and Stability of Dynamical Systems?

The most cited paper in Control and Stability of Dynamical Systems is "Finite-Time Stability of Continuous Autonomous Systems" (Sanjay P. Bhat, Dennis S. Bernstein, 2000), with 5,497 citations. Next come "Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems" (5,211) and "Robust and optimal control" (3,728).

Most cited papers
#PaperReleasedCitations
1 Finite-Time Stability of Continuous Autonomous Systems Sanjay P. Bhat, Dennis S. Bernstein · SIAM Journal on Control and Optimization 2000 5,497
2 Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems Andrey Polyakov · IEEE Transactions on Automatic Control Open access 15 Dec 2011 5,211
3 Robust and optimal control John C. Doyle Conference paper 24 Dec 2002 3,728
4 A new model for control of systems with friction Carlos Canudas de Wit, Henrik Olsson, Karl Johan Åström et al. · IEEE Transactions on Automatic Control Open access Mar 1995 3,686
5 Basic problems in stability and design of switched systems Daniel Liberzon, A. Stephen Morse · IEEE Control Systems Oct 1999 3,641
All 99 most cited papers, with filters and sorting

Where is Control and Stability of Dynamical Systems research done?

The largest centres of Control and Stability of Dynamical Systems research in 2022-now are Beijing (China), Nanjing (China), Shanghai (China) and Harbin (China).

Largest cities, 2022-now

  1. 1 BeijingChina 76 works
  2. 2 NanjingChina 47 works
  3. 3 ShanghaiChina 45 works
  4. 4 HarbinChina 44 works
  5. 5 ParisFrance 35 works
  6. 6 JinanChina 32 works
  7. 7 QingdaoChina 25 works
  8. 8 LondonUnited Kingdom 24 works
  9. 9 Xi'anChina 24 works
  10. 10 Mexico CityMexico 23 works
See Control and Stability of Dynamical Systems on the map

Where is the best place to study Control and Stability of Dynamical Systems?

Among universities, judged by research, Harbin Institute of Technology, Imperial College London and University of California San Diego 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 16.47%fractional works in this field (log) →share of work in the world top 10% →University of Califo…Harbin Institute of …Southeast UniversityImperial College Lon…
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
1Harbin Institute of TechnologyChina 74.320.6%10.4×30 +5.6%
2Imperial College LondonUnited Kingdom 59.115.7%7.6×14 +35.5%
3University of California San DiegoUnited States 57.023.6%4.9×8 +81.4%
4Southeast UniversityChina 55.218.2%5.8×15 +5.4%
5Southern University of Science and TechnologyChina 53.818.3%9.7×9 -
6Dalian Maritime UniversityChina 49.819.9%15.5×10 +109.2%
7University of GroningenNetherlands 49.112.2%11.8×14 -17.0%
8Eindhoven University of TechnologyNetherlands 44.911.4%16.1×10 +36.6%
9Yanshan UniversityChina 44.417.2%16.8×10 +7.0%
10University of TwenteNetherlands 43.57.6%15.6×8 +48.4%

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 Control and Stability of Dynamical Systems, country by country

Is Control and Stability of Dynamical Systems research growing?

Output in 2022-2025 was 3% lower than in 2018-2021, peaking in 2026.

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 Control and Stability of Dynamical Systems as a percentage of every work published that year, 0.0061% in 2024.

still counting0.010%0.020%0.030%Control and Stability of Dynamical Systems0.0089% in 202519801990200020102020

Fractional works of Control and Stability of Dynamical Systems 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%Control and Stability of Dynamical Systems10.3% 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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