Title :
On the generic dimension of controllable subspaces
Author :
Poljak, Svatopluk
Author_Institution :
Dept. of Appl. Math., Charles Univ., Praha, Czechoslovakia
fDate :
3/1/1990 12:00:00 AM
Abstract :
It is proved that the generic dimension of the controllable subspace remains unchanged even if the free parameters in a linear system are allowed to vary with time. More precisely, it is proved that the generic rank of the controllability matrix equals the generic rank of a controllability matrix for a discrete, time-varying system. As a by-product, a new proof of S. Hosoe´s (1980) characterization of the generic dimension of the controllable subspace is obtained
Keywords :
controllability; discrete systems; linear systems; matrix algebra; time-varying systems; controllability matrix; controllable subspaces; discrete systems; generic dimension; generic rank; linear system; time varying systems; Algorithm design and analysis; Jacobian matrices; Linear systems; Output feedback; Polynomials; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
