Title :
On matrix integrators for real-time simulation
Author :
De Abreu-Garcia, Jose Alexis ; Hartley, Tom T. ; Mossayebi, Faramarz
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
4/1/1990 12:00:00 AM
Abstract :
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
Keywords :
digital simulation; eigenvalues and eigenfunctions; integration; mathematics computing; matrix algebra; real-time systems; Jacobian systems; block upper triangular form; matrix integration method; real-time simulation; regression coefficients; Computational modeling; Differential equations; Eigenvalues and eigenfunctions; Hardware; Helium; Jacobian matrices; Nonlinear systems; Real time systems; Stability; Time factors;
Journal_Title :
Industrial Electronics, IEEE Transactions on
