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Paper details
Number 6 - December 2001
Volume 11 - 2001
Exact observability of diagonal systems with a one-dimensional output operator
Birgit Jacob, Hans Zwart
Abstract
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.
Keywords
infinite-dimensional systems, unbounded observation operator, exact observability, Hautus test, Lyapunov equation