Applicable Algebra in Engineering, Communicationâ€¦

2005

In this paper, we study linear control systems over Ore algebras. Within this mathematical framework, we can simultaneously deal with different classes of linear control systems such as time-varyingâ€¦ (More)

In the seventies, the wish to study transfer matrices of time-invariant finite-dimensional linear systems has led to the development of the polynomial approach in which the canonical forms ofâ€¦ (More)

In this paper, we prove that some stabilizing controllers of a plant, which admits a left/right-coprime factorization, have a special form where their stable and unstable parts are separated. Theâ€¦ (More)

We show how homological algebra and algebraic analysis allow to give various notions of equivalence for linear control systems which do not depend on their presentations and therefore preserve theirâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

1998

We describe a new approach of the generalized Bezout identity for linear time-varying ordinary differential control systems. We also explain when and how it can be extended to linear partialâ€¦ (More)

A well-known result due to J. T. Stafford asserts that a stably free left module M over the Weyl algebrasD = An(k) or Bn(k) âˆ’ where k is a field of characteristic 0 âˆ’ with rankD(M) â‰¥ 2 is free. Theâ€¦ (More)

Within a constructive homological algebra approach, we study the factorization and decomposition problems for a class of linear functional (determined, over-determined, under-determined) systems.â€¦ (More)

Within a lattice approach, the purpose of this paper is to give general necessary and sufficient conditions for internal stabilizability and for the existence of (weakly) left-/right-/doubly coprimeâ€¦ (More)

Using new results on the general Monge parametrization (see [25] and the references therein) recently obtained in [21], i.e., on the possibility to extend the concept of image representation toâ€¦ (More)