Concepedia

Singular Perturbations In Optimization

Singular Perturbations in Optimization is a theoretical framework within applied mathematics that characterizes optimization problems involving a small parameter inducing non-uniform convergence, thereby necessitating asymptotic analysis to resolve disparate scales in the decision variables or constraints.

82

Publications

3.9K

Citations

138

Authors

93

Institutions

Publications per year

2017–2026

8

Parents

Publications

82

An Overview of the Simultaneous Perturbation Method for Efficient Optimization

James C. Spall · 1998 · 440 citations · Full text

, , +11

Local minimisers and singular perturbations

Robert V. Kohn, Peter Sternberg · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1989 · 309 citations

, , +16

Local minimizers and singular perturbations

Robert V. Kohn, Peter Sternberg · 1989 · 184 citations

, , +12

Singular perturbation method for reducing the model order in optimal control design

P.V. Kokotović, Peddapullaiah Sannuti · IEEE Transactions on Automatic Control · 1968 · 169 citations

, , +16

Singular perturbations as a selection criterion for periodic minimizing sequences

Stefan M�ller · Calculus of Variations and Partial Differential Equations · 1993 · 156 citations

, , +15

1–5 of 82

Authors

138

  1. PS
    Peddapullaiah Sannuti

    Rutgers, The State University of New Jersey, United States

    5 publications · 395 citations

    5

    h-index

  2. PK
    P.V. Kokotović

    University of California, Santa Barbara, United States

    4 publications · 322 citations

    4

    h-index

  3. VG
    Vladimir Gaitsgory

    University of South Australia, Australia

    4 publications · 214 citations

    4

    h-index

  4. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    3 publications · 92 citations

    3

    h-index

  5. TD
    Thái Doãn Chương

    Saigon University, Vietnam

    2 publications · 68 citations

    2

    h-index

1–5 of 138

Institutions

93

  1. Rutgers, The State University of New Jersey

    New Brunswick, United States

    6 h-index

    7 publications

    333 citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    6 publications

    610 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    97 citations

  4. North Carolina State University

    Raleigh, United States

    3 h-index

    4 publications

    144 citations

  5. Chemnitz University of Technology

    Chemnitz, Germany

    2 h-index

    4 publications

    90 citations

  6. New York University

    New York, United States

    2 h-index

    2 publications

    163 citations

  7. AT&T (United States)

    Bedminster, United States

    2 h-index

    4 publications

    74 citations

  8. Courant Institute of Mathematical Sciences

    New York, United States

    2 h-index

    2 publications

    402 citations

1–8 of 93

Venues

  1. Automatica

    8 publications · 379 citations

    8

    h-index

  2. IEEE Transactions on Automatic Control

    9 publications · 629 citations

    8

    h-index

  3. SIAM Journal on Control and Optimization

    5 publications · 270 citations

    5

    h-index

  4. Linear Algebra and its Applications

    4 publications · 130 citations

    4

    h-index

  5. 4

    h-index

1–5