Concepedia

Invariant Sets

Invariant Sets is a mathematical construct in the theory of iterated maps that denotes a subset of the phase space which remains unchanged under the repeated application of a map, meaning every point in the set is mapped exclusively to other points within the same set.

1K

Publications

47.5K

Citations

1.6K

Authors

739

Institutions

Publications per year

2017–2026

162

Parents

Publications

1K

Set invariance in control

Franco Blanchini · Automatica · 1999 · 2.3K citations

, , +7

Generalized gradients and applications

Frank H. Clarke · Transactions of the American Mathematical Society · 1975 · 1.2K citations

, , +10

On the Non-Existence of Elements of Hopf Invariant One

J. F. Adams · Annals of Mathematics · 1960 · 1K citations

, , +4

Theory and computation of disturbance invariant sets for discrete‐time linear systems

Ilya Kolmanovsky, Elmer G. Gilbert · Mathematical Problems in Engineering · 1998 · 882 citations · Full text

, , +17

A Smooth Converse Lyapunov Theorem for Robust Stability

Yuandan Lin, Eduardo D. Sontag, Yuan Wang · SIAM Journal on Control and Optimization · 1996 · 867 citations

, , +17

1–5 of 1K

Authors

1.6K

  1. BK
    B. Kouvaritakis

    University of Oxford, United Kingdom

    15 publications · 917 citations

    13

    h-index

  2. SV
    Saša V. Raković

    Imperial College London, United Kingdom

    13 publications · 656 citations

    12

    h-index

  3. SO
    Sorin Olaru

    Supélec, France

    13 publications · 405 citations

    11

    h-index

  4. KE
    Konstantin E. Starkov

    Instituto Politécnico Nacional, Mexico

    13 publications · 386 citations

    11

    h-index

  5. MC
    Mark Cannon

    University of Oxford, United Kingdom

    11 publications · 323 citations

    11

    h-index

1–5 of 1.6K

Institutions

739

  1. University of Oxford

    Oxford, United Kingdom

    17 h-index

    46 publications

    1.8K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    35 publications

    1.2K citations

  3. California Institute of Technology

    Pasadena, United States

    14 h-index

    35 publications

    1.9K citations

  4. Imperial College London

    London, United Kingdom

    14 h-index

    26 publications

    1.3K citations

  5. University of Maryland, College Park

    College Park, United States

    14 h-index

    36 publications

    1.4K citations

  6. Science Oxford

    Oxford, United Kingdom

    13 h-index

    23 publications

    1.1K citations

  7. University of California, Berkeley

    Berkeley, United States

    12 h-index

    27 publications

    1.1K citations

  8. ETH Zurich

    Zurich, Switzerland

    12 h-index

    25 publications

    1.2K citations

1–8 of 739

Venues

  1. IEEE Transactions on Automatic Control

    41 publications · 2.6K citations

    26

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 34 publications · 3.4K citations

    23

    h-index

  3. Ergodic Theory and Dynamical Systems

    37 publications · 1.7K citations

    22

    h-index

  4. Nonlinearity

    32 publications · 1.3K citations

    22

    h-index

  5. International Journal of Bifurcation and Chaos

    IJBC · 30 publications · 957 citations

    19

    h-index

1–5