Garcia Planas, Maria Isabel; Dominguez Garcia, Jose Luis
WSEAS transactions on mathematics
Vol. 12, num. 7, p. 647-756
Date of publication: 2013-07
Journal article
This paper deals with the description of a general method for calculating the residues of a linear system.
Considering, physical models, it is well-assumed that the system described only presents simple eigenvalues, or
at least simple-complex eigenvalues. However, as demonstrated in this paper, it is not completely true for all the
real systems, and a method to evaluate the residues for these cases is required. In this paper, a methodology for
computing the residues, even with the existence of multiple eigenvalues (described by their Jordan normal form) is
developed and presented. Moreover, the calculation of the residues is applied to analyze the output-controllability
of dynamic systems. Finally, some real examples are presented to validate the methodologies proposed.
This paper deals with the description of a general method for calculating the residues of a linear system.
Considering, physical models, it is well-assumed that the system described only presents simple eigenvalues, or
at least simple-complex eigenvalues. However, as demonstrated in this paper, it is not completely true for all the
real systems, and a method to evaluate the residues for these cases is required. In this paper, a methodology for
computing the residues, even with the existence of multiple eigenvalues (described by their Jordan normal form) is
developed and presented. Moreover, the calculation of the residues is applied to analyze the output-controllability
of dynamic systems. Finally, some real examples are presented to validate the methodologies proposed