Concepedia

State-variable Formulation

State-Variable Formulation is a mathematical modeling framework that represents a dynamic system by a set of first-order differential equations in terms of state variables, where the system’s future behavior is uniquely determined by its current state and inputs, distinguishing it from other system representations by its emphasis on minimal, complete, and time-evolving internal descriptions of system dynamics.

430

Publications

30.4K

Citations

936

Authors

433

Institutions

Publications per year

2017–2026

42

Parents

Publications

430

Slip instability and state variable friction laws

Andy Ruina · Journal of Geophysical Research Atmospheres · 1983 · 3.3K citations

, , +14

A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable

P.S. Follansbee, U.F. Kocks · Acta Metallurgica · 1988 · 1.3K citations · Full text

, , +14

Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials

S. R. Bodner, Yehuda Partom · Journal of Applied Mechanics · 1975 · 1K citations

, , +17

Synthesis of minimum roundoff noise fixed point digital filters

C.T. Mullis, Richard A. Roberts · IEEE Transactions on Circuits and Systems · 1976 · 800 citations

, , +13

The Megawatt-Frequency Control Problem: A New Approach Via Optimal Control Theory

Charles E. Fosha, Olle I. Elgerd · IEEE Transactions on Power Apparatus and Systems · 1970 · 697 citations

, , +17

1–5 of 430

Authors

936

  1. BD
    Brian D. O. Anderson

    Australian National University, Australia

    5 publications · 271 citations

    5

    h-index

  2. EK
    E. Krempl

    Rensselaer Polytechnic Institute, United States

    4 publications · 113 citations

    4

    h-index

  3. MM
    Marc Mangel

    University of California, Santa Cruz, United States

    4 publications · 368 citations

    4

    h-index

  4. GM
    Gérard Meunier

    Centre National de la Recherche Scientifique, France

    4 publications · 128 citations

    4

    h-index

  5. CC
    C.E. Christoffersen

    North Carolina State University, United States

    3 publications · 48 citations

    3

    h-index

1–5 of 936

Institutions

433

  1. Rensselaer Polytechnic Institute

    Troy, United States

    8 h-index

    14 publications

    705 citations

  2. Cornell University

    Ithaca, United States

    8 h-index

    14 publications

    663 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    12 publications

    314 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    12 publications

    765 citations

  5. North Carolina State University

    Raleigh, United States

    7 h-index

    13 publications

    327 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    6 h-index

    13 publications

    833 citations

  7. Georgia Institute of Technology

    Atlanta, United States

    6 h-index

    8 publications

    487 citations

  8. Carnegie Mellon University

    Pittsburgh, United States

    6 h-index

    10 publications

    288 citations

1–8 of 433

Venues

  1. IEEE Transactions on Magnetics

    10 publications · 424 citations

    10

    h-index

  2. IEEE Transactions on Automatic Control

    8 publications · 730 citations

    8

    h-index

  3. Journal of Guidance Control and Dynamics

    8 publications · 227 citations

    8

    h-index

  4. IEEE Transactions on Power Systems

    7 publications · 609 citations

    7

    h-index

  5. Operations Research

    6 publications · 820 citations

    6

    h-index

1–5