Title :
On discrete linear time-invariant systems with singular transition matrix
Author :
Hontoir, Y. ; Cruz, J.B., Jr.
Author_Institution :
University of Illinois, Urbana, IL, USA
fDate :
10/1/1972 12:00:00 AM
Abstract :
New necessary and sufficient conditions for complete controllability to the zero state Of discrete linear time-invariant systems with singular transition matrix are presented. They provide a fresh insight into the particular structure of such systems. The implications of singularity on the optimal regulator problem are examined.
Keywords :
Controllability; Linear systems, time-invariant discrete-time; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Large-scale systems; Regulators; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100117
