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MMAS
2010
Springer
13 years 5 days ago
Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
Carsten Hartmann, Valentina-Mira Vulcanov, Christo...
DAC
2007
ACM
13 years 9 months ago
SBPOR: Second-Order Balanced Truncation for Passive Order Reduction of RLC Circuits
RLC circuits have been shown to be better formulated as second-order systems instead of first-order systems. The corresponding model order reduction techniques for secondorder sys...
Boyuan Yan, Sheldon X.-D. Tan, Pu Liu, Bruce McGau...
DATE
2007
IEEE
114views Hardware» more  DATE 2007»
13 years 11 months ago
Fast positive-real balanced truncation of symmetric systems using cross Riccati equations
We present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a p...
Ngai Wong
LSSC
2007
Springer
13 years 11 months ago
Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems
Model reduction of large-scale linear time-invariant systems is an ubiquitous task in control and simulation of complex dynamical processes. We discuss how LQG balanced truncation ...
José M. Badía, Peter Benner, Rafael ...
CDC
2008
IEEE
100views Control Systems» more  CDC 2008»
13 years 12 months ago
A structure preserving minimal representation of a nonlinear port-Hamiltonian system
— In this paper an approach to reduce nonlinear non-observable and non-strongly accessible port-Hamiltonian systems to an observable and strongly accessible portHamiltonian syste...
Jacquelien M. A. Scherpen, Arjan van der Schaft