Title :
Genericness of solution to N-dimensional polynomial matrix equation XA=I
Author_Institution :
Inst. Automat. Przemyslowej, Politech. Warzawaska, Poland
fDate :
8/1/1990 12:00:00 AM
Abstract :
It is shown that the solution to N-dimensional polynomial matrix equation XA=I, dim A=n*m is generic if n⩾m+N, and nongeneric in other cases. The author shows how to apply this result to equations with structured matrices A. An example of application is given: c-observability and c-reconstructability of a 2-D general state-space model are generic if a system has more than one output
Keywords :
matrix algebra; observability; polynomials; state-space methods; 2-D general state-space model; N-dimensional polynomial matrix equation; c-observability; c-reconstructability; generic; nongeneric; structured matrices; Circuits and systems; Controllability; Equations; Nonlinear systems; Observability; Polynomials;
Journal_Title :
Circuits and Systems, IEEE Transactions on
