Single-input observability of continuous-time systems |
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Authors: | Héctor J. Sussmann |
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Affiliation: | (1) Department of Mathematics, Rutgers University, 08903 New Brunswick, N.J., USA |
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Abstract: | A universal input is an inputu with the property that, whenever two states give rise to a different output for some input, then they give rise to a different output foru. For an observable system,u is universal if the initial state can be reconstructed from the knowledge of the output foru. It is shown that, for continuous-time analytic systems, analytic universal inputs exist, and that, in the class ofC inputs, universality is a generic property. Stronger results are proved for polynomial systems. |
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