| Abstract [eng] |
Time delay is often encountered in various technical systems, such as electric, pneumatic and hydraulic networks, chemical processes, long transmission lines, robotics, etc. The existence of pure time lag, regardless if it is present in the control or/and the state, may cause undesirable system transient response, or even instability. The aim of this work is to investigate the mutual synchronization system, composed of five oscillators. The mathematical model of the synchronization system is the matrix differential equation with delayed argument. It is solved applying the Laplase transformation method. Using this method the analytical expressions for step responses and differences between phases are found. The results of consequent integration method are compared with the results got using method with dde23 function. |
