https://popups.uliege.be/3041-539x/index.php?id=4703 Publications of Auteurs Peter B. Béda fr 0 https://popups.uliege.be/3041-539x/index.php?id=4723 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. Mon, 14 Oct 2024 16:51:23 +0200 Mon, 14 Oct 2024 16:51:33 +0200 https://popups.uliege.be/3041-539x/index.php?id=4723 https://popups.uliege.be/3041-539x/index.php?id=4700 In case of classical continuum mechanics the set of basic equations consists of the equation of motion, the kinematic equation and the constitutive equations. The paper concentrates on the stability problems and the effects of discretization on material modeling. The method of investigation is analytic, the monodromy operator of the discrete system is studied. We study how discretization, stability and anticipation act on one another. As results we show cases, when the anticipatory nature of a material model leads to instability. Mon, 14 Oct 2024 16:36:14 +0200 Mon, 14 Oct 2024 16:36:23 +0200 https://popups.uliege.be/3041-539x/index.php?id=4700