Title :
On systems described by the companion matrix
Author :
Kaufman, I. ; Roe, Paul
Author_Institution :
University of Waterloo, Waterloo, Ontario, Canada
fDate :
12/1/1970 12:00:00 AM
Abstract :
It is shown that general properties of analytical functions of a system matrix (including the transition matrix) follow naturally from consideration of the resolvent matrix and the Cauchy-integral formula. Previously published results are extended to cover arbitrary analytical functions and allow for multiple eigenvulues.
Keywords :
Linear time-invariant (LTI) systems; Matrices; Control systems; Controllability; Eigenvalues and eigenfunctions; Fasteners; Iterative algorithms; Iterative methods; Linear feedback control systems; Lyapunov method; Riccati equations; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099611
