Single-input observability of continuous-time systems

TY - JOUR

T1 - Single-input observability of continuous-time systems

AU - Sussmann, Héctor J.

PY - 1978/12

Y1 - 1978/12

N2 - 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.

AB - 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.

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U2 - 10.1007/BF01776584

DO - 10.1007/BF01776584

M3 - Article

SN - 0025-5661

VL - 12

SP - 371

EP - 393

JO - Mathematical Systems Theory

JF - Mathematical Systems Theory

IS - 1

ER -