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Single-input observability of continuous-time systems (1978)

Sussmann, Héctor J.

Springer

Theory of computing systems 12 (1978), S. 371-393

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ISSN: 1433-0490

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01776584

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