International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2014
Volume 24 - 2014

Analytic results for oscillatory systems with extremal dynamic properties

Henryk Górecki, Mieczysław Zaczyk

Abstract
The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding time are treated here as functions of the roots of the characteristic equation. The proposed analytical formulae allow designing systems with prescribed dynamic properties.

Keywords
extremal dynamic properties, oscillatory systems, extremal time

DOI
10.2478/amcs-2014-0057