On observability subspaces

Multivariable backward-shift-invariant subspaces and observability operators

It is well known that subspaces of the Hardy space over the unit disk which are invariant under the backward shift occur as the image of an observability operator associated with a discrete-time linear system with stable state-dynamics, as well as the functional-model space for a Hilbert space contraction operator. We discuss two multivariable extensions of this structure, where the classical H...

Comment on frame's of subspaces

Maximal prehomogeneous subspaces on classical groups

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

A Course on Observability

The purpose of this course is to present a set of concepts and results on observability, on the problem of synthesis of observers, and on dynamic output stabilization (using observers). Most of the results presented here come from the book [15], and from the paper [6]. In this text, in general, we give no proof of the results: we just present and discuss definitions, state results and explain s...

On Observability and Reachability ?

Observability and reachability are important concepts in formal software development. While observability concepts allow to specify the required observable behavior of a program or system, reachability concepts are used to describe the underlying data in terms of data type constructors. In this paper we show that there is a duality between ob-servability and reachability, both from a methodolog...