On the Hankel singular values of linear continuous and sampled-data multivariable systems |
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Authors: | Florin Dan Barb Martin Weiss |
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Abstract: | This paper considers the Hankel singular values of the sample-data systems obtained from continuous-time models via standard sampling techniques. It is shown that the Hankel singular values of the sampled-data system recover the Hankel singular values of the continuous-time system as the sampling period approaches zero. A state space proof of this result is given. |
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Keywords: | Hankel singular values sampling period Gramians Lyapunov equation Hardy space |
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