On matrix integrators for real-time simulation

On matrix integrators for real-time simulation

A matrix integration method is generalized to systems with zero eigenvalues. It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jaco...

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Veröffentlicht in:IEEE transactions on industrial electronics (1982) 1990-04, Vol.37 (2), p.113-118
Hauptverfasser: De Abreu-Garcia, J.A., Hartley, T.T., Mossayebi, F.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computational modeling
Computer science
control theory
systems
Control theory. Systems
Differential equations
Eigenvalues and eigenfunctions
Exact sciences and technology
Hardware
Jacobian matrices
Nonlinear systems
Real time systems
Stability
System theory
Time factors
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Beschreibung
Zusammenfassung:A matrix integration method is generalized to systems with zero eigenvalues. It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jacobian is in block upper triangular form. A numerical example is included for illustrative purposes.< >
ISSN:0278-0046
1557-9948
DOI:10.1109/41.52959