The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph
The mathematical model of the mutual synchronization system with structure having form of the complete graph and composed of n oscillators, is investigated. The mathematical model of the system is the matrix differential equation with delayed argument. The step responses matrix of the system is ob...
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Vilnius University Press
2012-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/14865 |
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doaj-2756f263bce14854a802cfaf6290d52a2020-11-24T23:49:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2012-12-0153A10.15388/LMR.A.2012.06The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graphIrma Ivanovienė0Jonas Rimas1Kaunas University of TechnologyKaunas University of Technology The mathematical model of the mutual synchronization system with structure having form of the complete graph and composed of n oscillators, is investigated. The mathematical model of the system is the matrix differential equation with delayed argument. The step responses matrix of the system is obtained applying the Lambert function method. The transition processes are investigated using obtained step responses of the system. https://www.journals.vu.lt/LMR/article/view/14865synchronization systemdifferential equationsdelayed argumentsLambert function |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Irma Ivanovienė Jonas Rimas |
| spellingShingle |
Irma Ivanovienė Jonas Rimas The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph Lietuvos Matematikos Rinkinys synchronization system differential equations delayed arguments Lambert function |
| author_facet |
Irma Ivanovienė Jonas Rimas |
| author_sort |
Irma Ivanovienė |
| title |
The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| title_short |
The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| title_full |
The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| title_fullStr |
The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| title_full_unstemmed |
The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| title_sort |
use of lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph |
| publisher |
Vilnius University Press |
| series |
Lietuvos Matematikos Rinkinys |
| issn |
0132-2818 2335-898X |
| publishDate |
2012-12-01 |
| description |
The mathematical model of the mutual synchronization system with structure having form of the complete graph and composed of n oscillators, is investigated. The mathematical model of the system is the matrix differential equation with delayed argument. The step responses matrix of the system is obtained applying the Lambert function method. The transition processes are investigated using obtained step responses of the system.
|
| topic |
synchronization system differential equations delayed arguments Lambert function |
| url |
https://www.journals.vu.lt/LMR/article/view/14865 |
| work_keys_str_mv |
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