Concepedia

Nonlinear Stability

Nonlinear Stability is a theoretical framework in dynamical systems theory that characterizes the asymptotic behavior of solutions to nonlinear differential equations near equilibrium points, distinguishing itself from linear stability by accounting for higher-order nonlinear terms that determine stability in the absence of linearization.

7.1K

Publications

354.4K

Citations

9.4K

Authors

2.7K

Institutions

Publications per year

2017–2026

1.3K

Parents

Publications

7.1K

Smooth stabilization implies coprime factorization

Eduardo D. Sontag · IEEE Transactions on Automatic Control · 1989 · 2.7K citations

, , +16

Asymptotic Stability and Feedback Stabilization

R. Brockett · 1982 · 2.6K citations

, , +12

Nonlinear Systems Analysis

M. Vidyasagar, C. Desoer · IEEE Transactions on Systems Man and Cybernetics · 1980 · 2K citations

, , +16

Nonlinear Systems Analysis

M. Vidyasagar, S. H. Johnson · Journal of Dynamic Systems Measurement and Control · 1978 · 1.8K citations · Full text

, , +16

Mittag–Leffler stability of fractional order nonlinear dynamic systems

Yan Li, YangQuan Chen, Igor Podlubný · Automatica · 2009 · 1.6K citations

, , +9

1–5 of 7.1K

Authors

9.4K

  1. BS
    Brian Straughan

    Durham University, United Kingdom

    36 publications · 1.7K citations

    24

    h-index

  2. AR
    Andrew R. Teel

    University of California, Santa Barbara, United States

    31 publications · 3.2K citations

    23

    h-index

  3. RP
    Ravi P. Agarwal

    Florida Institute of Technology, United States

    31 publications · 1.3K citations

    22

    h-index

  4. WL
    Wei Lin

    Case Western Reserve University, United States

    23 publications · 3.4K citations

    19

    h-index

  5. CT
    Cemil Tunç

    Van Yüzüncü Yıl Üniversitesi, Türkiye

    43 publications · 917 citations

    19

    h-index

1–5 of 9.4K

Institutions

2.7K

  1. Centre National de la Recherche Scientifique

    Paris, France

    50 h-index

    331 publications

    16.3K citations

  2. University of California, Berkeley

    Berkeley, United States

    34 h-index

    98 publications

    13.2K citations

  3. University of California, Santa Barbara

    Santa Barbara, United States

    29 h-index

    79 publications

    8.4K citations

  4. Imperial College London

    London, United Kingdom

    28 h-index

    91 publications

    3.3K citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    28 h-index

    74 publications

    8.2K citations

  6. Qufu Normal University

    Qufu, China

    26 h-index

    69 publications

    4.3K citations

  7. University of Cambridge

    Cambridge, United Kingdom

    26 h-index

    54 publications

    2.6K citations

  8. University of Michigan

    Ann Arbor, United States

    25 h-index

    51 publications

    4.6K citations

1–8 of 2.7K

Venues

  1. IEEE Transactions on Automatic Control

    281 publications · 30.7K citations

    79

    h-index

  2. Automatica

    173 publications · 21.1K citations

    65

    h-index

  3. Systems & Control Letters

    168 publications · 15.1K citations

    55

    h-index

  4. Journal of Mathematical Analysis and Applications

    303 publications · 12.7K citations

    55

    h-index

  5. Journal of Differential Equations

    164 publications · 7.4K citations

    42

    h-index

1–5