Title :
Decomposition of 2-D linear systems into 1-D systems in the frequency domain
Author :
Kaczorek, Tadeusz
Author_Institution :
Polish Acad. of Sci., Res. Centre in Rome, Italy
fDate :
6/1/1989 12:00:00 AM
Abstract :
A method is presented for the decomposition of the frequency domain of 2-D linear systems into two equivalent 1-D systems having dynamics in different directions and connected by a feedback system. It is shown that under some assumptions the decomposition problem can be reduced to finding a realizable solution to the matrix polynomial equation X(z1)P(z2 )+Q(z1)Y(z2 )=D(z1, z2). A procedure for finding a realizable solution X(z1 ), Y(z2) to the equation is given
Keywords :
feedback; linear systems; matrix algebra; multidimensional systems; polynomials; 1D systems; 2D systems; decomposition; feedback system; frequency domain; linear systems; matrix polynomial; multidimensional systems; Equations; Feedback; Frequency domain analysis; Linear systems; Matrix decomposition; Polynomials; Sufficient conditions; Transfer functions; Two dimensional displays;
Journal_Title :
Automatic Control, IEEE Transactions on
