http://popups.lib.uliege.be/1373-5411/index.php?id=3512 The paper contains several results belonging to the theory of systems with infinite memory, using the differential calculus in locally convex spaces. These results are the following: the general constitutive functional can have, as a first approximation, an integral representation; the constitutive functional could be expressed by a double integral, so obtaining a better approximation; the speed of the present state modification is in a linear dependence on the history of the speed by which the inputs were changed, the whole time elapsed till the present moment; the state of the system in a next moment is obtained also by means of some formulae using the derivative of the constitutive functional; the problem of optimal control of the system evolution, formulated for this general functional representation, leads to the equations of the Calculus of Variations. Full text issues Volume 17 Mathematical Modelling, Dynamical Systems and Cont... fr Mon, 23 Sep 2024 14:54:11 +0200 Mon, 23 Sep 2024 14:54:20 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3512 0