Stability Criteria for Linear Dynamical Systems

Porter, B.; Infante, E. F.

doi:10.1115/1.3426500

Cited by 36 publications

(25 citation statements)

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“…It was first studied by Neimark,.6 and a detailed discussion on the application for the time-delay system appears in Refs. 59 …”

Section: B Stability-boundary Criterion (D-partition Method)mentioning

confidence: 99%

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Study on flow instabilities in two-phase mixtures

Ishii¹

1976

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“…It was first studied by Neimark,.6 and a detailed discussion on the application for the time-delay system appears in Refs. 59 …”

Section: B Stability-boundary Criterion (D-partition Method)mentioning

confidence: 99%

“…According to the Liapunov theorem, 59 the stability of the linearized system corresponds to the stability of the nonlinear system that operates under quasi-equilibrium conditions. By taking advantage of this theorem, we can use the linear theory.…”

Section: )mentioning

confidence: 99%

Study on flow instabilities in two-phase mixtures

Ishii¹

1976

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“…(14). The stability of the system was examined by applying the Nyquist stability criterion (Porter, 1968).…”

Section: Development Of a Frequency-domain Code Alfs_fmentioning

confidence: 99%

Investigation of two-phase flow instabilities under advanced PWR conditions

Hwang

Kwon

Kim

2015

Annals of Nuclear Energy

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“…Porter [1] hat unter dem Namen ,,Method of D-partition" die Neumarksche Methode eingehend beschrieben, jedoch nur ftir den Fall, dab die Koeftizienten der charakteristischen Gleichung lineare Funktionen beider Kennzahlen sind. 13ei Fragen aus der Fahrzeugmechanik ist das aber oft nicht der Fall; jedoch zeigt es sieh, dab die Neumarksche Methode auch angewandt werden kann, wenn die Koeffizienten nicht-lineare Funktionen der Kennzahlen sind.…”

Section: Introductionunclassified

Die Untersuchung der Stabilit�t der Bewegung eines Eisenbahnfahrzeuges mit Hilfe der Neumarkschen Methode

Pater

1980

Ing. arch

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Summary : The method of D-partitioning enables us to determine for a linear system the stability limit curves in a plane in which some parameter of the system represents the abscissa and another one the ordinate. Hitherto the method was used for the case that the coefficients of the characteristic equation are linear functions of both of the parameters. By applying it on the case of a single railway vehicle, moving along the track, it is shown that the method is not restricted to such linearities.

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Stability Criteria for Linear Dynamical Systems

Cited by 36 publications

References 0 publications

Study on flow instabilities in two-phase mixtures

Study on flow instabilities in two-phase mixtures

Investigation of two-phase flow instabilities under advanced PWR conditions

Die Untersuchung der Stabilit�t der Bewegung eines Eisenbahnfahrzeuges mit Hilfe der Neumarkschen Methode

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