Concepedia

Linearization Around Equilibrium

Linearization Around Equilibrium is a mathematical method in dynamical systems theory that approximates a nonlinear system by a linear system near an equilibrium point, enabling local stability analysis through the Jacobian matrix evaluated at that point.

77

Publications

3.9K

Citations

152

Authors

113

Institutions

Publications per year

2017–2026

6

Variants

Linearization About An Equilibrium Point

Parents

Publications

77

On the Use of Linearized Langmuir Equations

Carl H. Bolster, George M. Hornberger · Soil Science Society of America Journal · 2007 · 313 citations

, , +4

Approximate linearization by state feedback and coordinate change

Arthur J. Krener · Systems & Control Letters · 1984 · 293 citations

, , +15

Nonlinear stabilizing control of multimachine systems

Qiang Lu, Yuanzhang Sun · IEEE Transactions on Power Systems · 1989 · 225 citations

, , +16

Linearization of Hamiltonian systems, Jacobi varieties and representation theory

Mark Adler, Pierre van Moerbeke · Advances in Mathematics · 1980 · 194 citations

, , +16

Stability analysis of dynamical neural networks

Yuguang Fang, Thomas G. Kincaid · IEEE Transactions on Neural Networks · 1996 · 174 citations

, , +16

1–5 of 77

Authors

152

  1. PJ
    Panos J. Antsaklis

    University of Notre Dame, United States

    2 publications · 88 citations

    2

    h-index

  2. CH
    Carl H. Bolster

    Agricultural Research Service, United States

    2 publications · 343 citations

    2

    h-index

  3. VG
    Vijay Gupta

    University of Notre Dame, United States

    2 publications · 88 citations

    2

    h-index

  4. YX
    Yonghui Xia

    Zhejiang Normal University, China

    2 publications · 60 citations

    2

    h-index

  5. GM
    George M. Hornberger

    University of Virginia, United States

    2 publications · 343 citations

    2

    h-index

1–5 of 152

Institutions

113

  1. University of California, Berkeley

    Berkeley, United States

    4 h-index

    4 publications

    82 citations

  2. Fuzhou University

    Fuzhou, China

    2 h-index

    2 publications

    54 citations

  3. University of California, Davis

    Davis, United States

    2 h-index

    2 publications

    315 citations

  4. Loughborough University

    Loughborough, United Kingdom

    2 h-index

    4 publications

    213 citations

  5. Instituto Politécnico Nacional

    Mexico City, Mexico

    2 h-index

    3 publications

    85 citations

  6. University of Notre Dame

    Notre Dame, United States

    2 h-index

    8 publications

    352 citations

  7. California Institute of Technology

    Pasadena, United States

    2 h-index

    2 publications

    37 citations

  8. University of Virginia

    Charlottesville, United States

    2 h-index

    2 publications

    343 citations

1–8 of 113

Venues

  1. IEEE Transactions on Automatic Control

    7 publications · 292 citations

    7

    h-index

  2. Physics Letters A

    4 publications · 164 citations

    4

    h-index

  3. Journal of Differential Equations

    3 publications · 116 citations

    3

    h-index

  4. Journal of Guidance Control and Dynamics

    2 publications · 57 citations

    2

    h-index

  5. Applied Mathematics and Computation

    2 publications · 61 citations

    2

    h-index

1–5