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In applied mechanics several papers concentrate on the comparison ofdelayed and non-delayed approaches of controlled machines. We maystudy both continuous and discrete time systems. The principal pointsof interest in the following work are how continuous time systemsdiffer from its representation as some discrete time system instability and robustness and how the discretisation of a continuoustime subsystem acts on the stability properties of the coupled system.

Time delay and anticipatory effects in modeling dynamical sytems