Rank condition for the controllability of a linear time-varying system

Abstract:

In this paper we study the controllability of the following linear time-varying control system x’ = A(t)x + Bu(t), where A(t) = a(t)A and a(’) is a scalarfunction which is in general not continuous and satisfies the only condition: ∫0 a(s), ds≠0, T > 0. A and B areconstant matrices of dimension n Xn and n X m respectively. Under this condition, we prove that this system is controllable on [0, T] iff the usual Rank condition holds: Rank [B:AB:…:An-1B = n. © 1999 Taylor and Francis Group, LLC.

Año de publicación:

1999

Keywords:

Fuente:

scopus

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