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On approximate and exact null controllability of delay systems

✍ Scribed by Fritz Colonius

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
182 KB
Volume
5
Category
Article
ISSN
0167-6911

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✦ Synopsis

Approximate and exact null controllability of linear delay equations with a constant delay and scalar control are shown to be equivalent. The main tool is a recent result on equivalence between spectral controllability and finite spectrum assignability. example of a neutral system which is approximately, but not exactly null controllable.

The proof given here heavily relies on the ideas of finite spectrum assignability (Kamen [3], Manitius and Olbrot ). The main tool is a result by Watanabe, Ito, and Kaneko [9], which states that spectral controllability implies finite spectrum assignal~ility.

Null controllability

πŸ“œ SIMILAR VOLUMES

On exact controllability of variational
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✍ Adina LuminiΕ£a Sasu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 366 KB

a b s t r a c t Let X , U be two Banach spaces, let Θ be a metric space and let Οƒ be a flow on Θ. For A ∈ ∞ (Θ, B(X)) and B ∈ ∞ (Θ, B(U, X )), we consider the variational discrete system with control where x : Θ β†’ S(X) and u ∈ p (N, U). We prove that if the discrete cocycle associated with the syst