<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Analytic results for oscillatory systems with extremal dynamic properties

Department of Automatics and Biomedical Engineering AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Analytic results for oscillatory systems with extremal dynamic properties"}

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...

Analytic results for oscillatory systems with extremal dynamic properties

Published Online: Dec 20, 2014

Page range: 771 - 784

Received: Sep 04, 2013

DOI: https://doi.org/10.2478/amcs-2014-0057

© by Henryk Górecki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.