A system theoretical framework to study unilaterally constrained mechanical systems

The aim of this paper is to study, in a system theoretical framework, the contact problem for mechanical systems subject to unilateral constraints. Contrary to what is usually done in studies on this subject, we first investigate what can be deduced already firom the mathematical models of the unconstrained mechanical system and the constraint...

The contact problem for linear continuous-time dynamical systems: a system theoretical approach

In this paper linear time-invariant dynamical systems described by a combination of differential equalities and static inequalities in state-space formulation are investigated. Of special interest is the contact problem: the effect (of the boundary) of the constraint set on the behaviour of the system. This effect is studied by dividing the...