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Exact Observability of Diagonal Systems With a One-Dimensional Output Operator

Jacob B., Zwart H.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 6

1277-1283

In this paper equivalent conditions for exact observability of diagonal systems with a one-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (1994). The other conditions are given in terms of the eigenvalues and the Fourier coefficients of the system data.