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...

Similarity transformations between minimal representations of convex polyhedral sets

A system of linear inhomogeneous inequalities determines a convex polyhedral set of feasible solutions. It is investigated under which conditions convex polyhedral sets can be represented also by a system that contains equalities as well as inequalities. Different representations of the same convex polyhedral set are related by elementary...

Similarity transformations between minimal presentations of convex polyhedral cones

A system of linear homogeneous inequalities determines a convex polyhedral cone of feasible solutions. It is investigated under which conditions polyhedral cones can be represented also by a system that contains equalities as well as inequalities. Different representations of the same convex polyhedral cone are related by elementary...