Abstract—The mathematical model of the mutual synchronization system, having star form structure and composed of n n 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. Using obtained step responses of the system the transition processes are investigated.
Index Terms—Synchronization system, differential equations, delayed arguments, Lambert function.
The authors are with Department of Applied Mathematics, Kaunas University of Technology, Lithuania (e-mail: email@example.com, firstname.lastname@example.org, email@example.com.).
Cite: Irma Ivanovienė and Jonas Rimas, "The Use of the Lambert Function Method for Analysis of a Multidimensional Control System with Delays and with Structure Having Form of the Star," International Journal of Information and Education Technology vol. 2, no. 4, pp. 360-363, 2012.