Title :
Computation of cofactors of [sI-A] with applications
Author :
Mitchell, Jerrekl R. ; Nail, James B. ; McDaniel, Willie L., Jr.
Author_Institution :
Mississippi State University, Mississippi State, MS, USA
fDate :
8/1/1979 12:00:00 AM
Abstract :
The cofactors of
![[sI-A]](/images/tex/4087.gif)
are the key to accurate, efficient calculation of
![[sI- A]^{-1}](/images/tex/4088.gif)
and

, where a
ijis an element of

. These cofactors can be evaluated by transforming their equivalents to phase variable or quasi-phase variable form. The procedure for forming the equivalent cofactors is the principal topic of this note.
Keywords :
Determinants; Linear systems, time-invariant continuous-time; Automatic control; Control systems; Controllability; Eigenvalues and eigenfunctions; Linear algebra; Linear systems; NASA; Nails; Observability; Polynomials;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1979.1102116