The relationship of the initial conditions of a scalar differential equation to those of its state variable representation

Concise general formulae are developed relating the initial conditions of a scalar linear time-invariant differential equation to those of its state variable representation. It is shown that observability is required for the use of one of the two formulae presented.

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Veröffentlicht in:International journal of control 1980-04, Vol.31 (4), p.705-707
1. Verfasser: HEINEN, JAMES A.
Format: Artikel
Sprache:eng
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Zusammenfassung:Concise general formulae are developed relating the initial conditions of a scalar linear time-invariant differential equation to those of its state variable representation. It is shown that observability is required for the use of one of the two formulae presented.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178008961077