Decomposition method and its application to the extremal problems

In the article solution of the problem of extremal value of x(τ) is presented, for the n-th order linear systems. The extremum of x(τ) is considered as a function of the roots s , s , ... s of the characteristic equation. The obtained results give a possibility of decomposition of the whole n-th ord...

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Veröffentlicht in:Archives of control sciences 2016-03, Vol.26 (1), p.49-67
Hauptverfasser: Górecki, Henryk, Zaczyk, Mieczysław
Format: Artikel
Sprache:eng
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Zusammenfassung:In the article solution of the problem of extremal value of x(τ) is presented, for the n-th order linear systems. The extremum of x(τ) is considered as a function of the roots s , s , ... s of the characteristic equation. The obtained results give a possibility of decomposition of the whole n-th order system into a set of 2-nd order systems.
ISSN:2300-2611
1230-2384
2300-2611
DOI:10.1515/acsc-2016-0003