Stability in Delayed and Anticipatory Systems of Applied Mechanics

In applied mechanics several papers concentrate on the comparison of delayed and non-delayed approaches of controlled machines. We may study both continuous and discrete time systems, by using both numeric and analytic methods. These analytic methods are from the qualitative theory of differential equations like Lyapunov's indirect method, or the use of monodromy operator of discrete mappings and the basic bifurcation theory. The principal points of interest in the following work are how continuous time system differs from its representation as some discrete time system in stability and robustness and how the discretisation of a continuous time subsystem acts on the stability properties of the coupled system.