Author(s) :
Timo Reis
,
Tatjana Stykel
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 25-2008
MSC 2000
- 34A09 Implicit equations, differential-algebraic equations
-
93C05 Linear systems
Abstract :
We present an extension of the positive real and bounded real
balanced truncation model reduction methods to large-scale
descriptor systems. These methods are based on balancing the
solutions of the projected Lur'e matrix
equations. Important properties of these methods are that,
respectively, passivity and contractivity are preserved in the
reduced-order models and that there exist approximation error
bounds. We also discuss the numerical solution of the projected
Lur'e equations. Numerical examples are given.
Keywords :
descriptor systems, passivity, contractivity, positive real, bounded real, model reduction, balanced truncation, Lur'e equations