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  • stability
  • Springer  (3)
  • American Institute of Physics (AIP)
  • Cell Press
  • Institute of Electrical and Electronics Engineers (IEEE)
  • 1975-1979  (3)
  • 1975  (3)
Sammlung
Schlagwörter
Verlag/Herausgeber
  • Springer  (3)
  • American Institute of Physics (AIP)
  • Cell Press
  • Institute of Electrical and Electronics Engineers (IEEE)
Erscheinungszeitraum
  • 1975-1979  (3)
Jahr
  • 1
    Digitale Medien
    Digitale Medien
    Stability and entropy production in electrical circuits (1975)
    Springer
    Journal of statistical physics 13 (1975), S. 1-16 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Electrical circuit ; entropy production ; stability ; bistability ; fluctuations
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract A number of the theorems expounded by Prigogine, Glansdorff and their collaborators are translated into electrical circuit terminology and their validity and significance discussed. The simultaneous occurrence of inductors and capacitors represents a situation not envisioned in the chemically oriented discussions and imposes some limitations. The electrical terminology also leads to “dual” theorems, in which voltage sources are replaced by current sources. The validity of the theorems in situations in which fluctuations are critical to the relaxation behavior is analyzed. The “excess entropy production” theorem is only valid if the circuit relaxation can be described by single-valued macroscopic variables, but not if it must be described by distribution functions. We stress that no purely local characterization, which examines a multistable system only in the neighborhoods where it occurs with high probability, can predict or characterize the steady state.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01012596
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Stability, prediction-correction, and dynamic programming (1975)
    Springer
    Journal of optimization theory and applications 17 (1975), S. 239-250 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Dynamic programming ; approximation methods ; Bolza problem ; stability ; prediction-correction ; reduction of dimensionality
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract It is proven here that a bounded perturbation of the discrete dynamic programming functional equation arising from the Bolza problem yields a bounded change in its solution. This stability property encourages the development of approximation techniques for solving such equations. One such technique, involving the backward solution of an approximate functional equation as a prediction step, followed by a forward reconstruction using true equations as a correction step, is then discussed. Bounds for the errors arising from such an approximation procedure are derived. Successive approximations is suggested, in conclusion, as a means for obtaining improved solutions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00933878
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
    Volltext
  • 3
    Digitale Medien
    Digitale Medien
    On a class of linear differential games (1975)
    Springer
    Journal of optimization theory and applications 17 (1975), S. 511-522 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; pursuit-evasion ; stability ; uncertain systems
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Saddlepoint strategies are deduced for a class of linear, single-input differential games. Conditions necessary for a saddle-point, as well as sufficient conditions, are discussed. The results are illustrated with a simple example. For the case of one control subject to a norm bound and the other to a quadratic penalty, the results are extended to the vector case and applied to the stabilization of a system subject to norm-bounded input disturbance.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00932787
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
    Volltext
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