Some results on the genericity of the pole placement problem

✍ Scribed by L. Carotenuto; G. Franzé; P. Muraca

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 138 KB
• Volume: 42
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(00)00106-7

✦ Synopsis

In this note, the pole placement problem for a linear MIMO systems with p outputs and m inputs is studied from the algebraic point of view. A formulation is proposed, that allows to analyze both theoretical and numerical aspects of the case min(m; p) = 2 with more sharpness. Moreover, here it is shown that arbitrary pole placement by static output feedback of unitary rank is generically not possible even if m + p ¿ n holds true.