Geodesic
Exact Observability of Diagonal Systems With a One-Dimensional Output Operator
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1277-1283.

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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 equations
Mots-clés : obserwator, równanie Lyapunova 
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     author = {Jacob, B. and Zwart, H.},
     title = {Exact {Observability} of {Diagonal} {Systems} {With} a {One-Dimensional} {Output} {Operator}},
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Jacob, B.; Zwart, H. Exact Observability of Diagonal Systems With a One-Dimensional Output Operator. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1277-1283. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a3/