Author(s) :
Christopher Beattie
,
Volker Mehrmann
,
Hongguo Xu
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 23-2015
MSC 2000
- 93A30 Mathematical modeling
-
93B17 Transformations
Abstract :
The question when a general linear time invariant control system is equivalent to a port-Hamiltonian systems is answered. Several equivalent characterizations are derived which extend the characterizations of Willems to the general non-minimal case. An explicit construction of the transformation matrices is presented. The methods are applied in the stability analysis of disc brake squeal.
Keywords :
port-Hamiltonian system, passivity, stability, system transformation, linear matrix inequality, Lyapunov inequality, even pencil, quadratic eigenvalue problem