Single-input observability of continuous-time systems

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A universal input is an input u with the property that, whenever two states give rise to a different output for some input, then they give rise to a different output for u. For an observable system, u is universal if the initial state can be reconstructed from the knowledge of the output for u. It is shown that, for continuous-time analytic systems, analytic universal inputs exist, and that, in the class of C inputs, universality is a generic property. Stronger results are proved for polynomial systems.

Original languageEnglish (US)
Pages (from-to)371-393
Number of pages23
JournalMathematical Systems Theory
Issue number1
StatePublished - Dec 1978

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Mathematics(all)
  • Computational Theory and Mathematics


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