The eigenstructure of sampled-data systems with confluent eigenvalues

It is well known that the eigenvectors of a sampled-data system are the same as the eigenvectors of the continuous time system from which the sampled-data system has been derived provided that the eigenvalues of the continuous time system arc distinct. In this paper the eigenvectors of a sampled-data system with confluent eigenvalues arc deduced in terms of the eigenvectors of the continuous time system from which the sampled -data system has boon derived. The theory is illustrated by numerical examples.