Details

Autor(en) / Beteiligte

• Mastronardi, N.
• Van Dooren, P.

Titel

Creating a nilpotent pencil via deadbeat

Ist Teil von

• International journal of control, 2015-12, Vol.88 (12), p.2627-2634

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2015

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• We consider the problem of finding a square low-rank correction (λC − B)F to a given square pencil (λE − A) such that the new pencil λ(E − CF) − (A − BF) has all its generalised eigenvalues at the origin. We give necessary and sufficient conditions for this problem to have a solution and we also provide a constructive algorithm to compute F when such a solution exists. We show that this problem is related to the deadbeat control problem of a discrete-time linear system and that an (almost) equivalent formulation is to find a square embedding that has all its finite generalised eigenvalues at the origin.