Algebraic condition for decomposition of large-scale linear dynamic systems

Henryk Górecki. "Algebraic condition for decomposition of large-scale linear dynamic systems." International Journal of Applied Mathematics and Computer Science 19.1 (2009): 107-111. <http://eudml.org/doc/207912>.

@article{HenrykGórecki2009,
abstract = {The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization of the characteristic polynomial of the original large-scale system. An algorithm for finding all the coefficients of the decomposed polynomials and a general condition of factorization are given. Examples of splitting the polynomials of the fifth and sixth degrees are discussed in detail.},
author = {Henryk Górecki},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {decomposition; algebraic condition; dynamic systems},
language = {eng},
number = {1},
pages = {107-111},
title = {Algebraic condition for decomposition of large-scale linear dynamic systems},
url = {http://eudml.org/doc/207912},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Henryk Górecki
TI - Algebraic condition for decomposition of large-scale linear dynamic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 1
SP - 107
EP - 111
AB - The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization of the characteristic polynomial of the original large-scale system. An algorithm for finding all the coefficients of the decomposed polynomials and a general condition of factorization are given. Examples of splitting the polynomials of the fifth and sixth degrees are discussed in detail.
LA - eng
KW - decomposition; algebraic condition; dynamic systems
UR - http://eudml.org/doc/207912
ER -