# Exact observability of diagonal systems with a one-dimensional output operator

International Journal of Applied Mathematics and Computer Science (2001)

- Volume: 11, Issue: 6, page 1277-1283
- ISSN: 1641-876X

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topJacob, Birgit, and Zwart, Hans. "Exact observability of diagonal systems with a one-dimensional output operator." International Journal of Applied Mathematics and Computer Science 11.6 (2001): 1277-1283. <http://eudml.org/doc/207555>.

@article{Jacob2001,

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.},

author = {Jacob, Birgit, Zwart, Hans},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {unbounded observation operator; Hautus test; exact observability; infinite-dimensional systems; Lyapunov equation},

language = {eng},

number = {6},

pages = {1277-1283},

title = {Exact observability of diagonal systems with a one-dimensional output operator},

url = {http://eudml.org/doc/207555},

volume = {11},

year = {2001},

}

TY - JOUR

AU - Jacob, Birgit

AU - Zwart, Hans

TI - Exact observability of diagonal systems with a one-dimensional output operator

JO - International Journal of Applied Mathematics and Computer Science

PY - 2001

VL - 11

IS - 6

SP - 1277

EP - 1283

AB - 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.

LA - eng

KW - unbounded observation operator; Hautus test; exact observability; infinite-dimensional systems; Lyapunov equation

UR - http://eudml.org/doc/207555

ER -

## References

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