Regularization and frequency-domain stability of well-posed systems
نویسندگان
چکیده
We study linear control systems with unbounded control and observation operators using certain regularization techniques. This allows us to introduce a modification of the transfer function for the system also if the input and output operators are not admissible in the usual sense. The modified transfer function is utilized to show exponential stability of sufficiently smooth solutions for the internal system under appropriate admissibility conditions on the system operators and appropriately modified stabilizability and detectability assumptions. If the internal system satisfies additional regularity properties, then we even obtain its uniform exponential stability.
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عنوان ژورنال:
- MCSS
دوره 17 شماره
صفحات -
تاریخ انتشار 2005