Article ID Journal Published Year Pages File Type
756685 Systems & Control Letters 2007 8 Pages PDF
Abstract

For finite-dimensional systems the Hautus test is a well known and easily checkable condition for observability. Russell and Weiss [A general necessary condition for exact observability, SIAM J. Control Optim. 32 (1994) 1–23] 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.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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