Observability of polynomially stable systems
نویسندگان
چکیده
For finite-dimensional systems the Hautus test is a well-known and easy checkable condition for observability. Russell and Weiss (SIAM J. Control Optim. 32:123, 1994) suggested an infinite-dimensional version of the Hautus test, which is necessary for exact infinite-time observability and sufficient for approximate infinite-time observability of exponentially stable systems. In this paper the notion of observability is studied for polynomially stable systems. Several known results for exponentially stable systems are extended to the setting of polynomially stable systems. By means of an example the obtained results are illustrated.
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عنوان ژورنال:
- Systems & Control Letters
دوره 56 شماره
صفحات -
تاریخ انتشار 2007