The use of Lambert function method for analysis of a multidimensional control system with delays and with structure of the complete graph
Articles
Irma Ivanovienė
Kaunas University of Technology
Jonas Rimas
Kaunas University of Technology
Published 2012-12-15
https://doi.org/10.15388/LMR.A.2012.06
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Keywords

synchronization system
differential equations
delayed arguments
Lambert function

How to Cite

Ivanovienė I. and Rimas J. (2012) “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, 53(A), pp. 30–35. doi: 10.15388/LMR.A.2012.06.

Abstract

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.

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