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89
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CDC
2008
IEEE
111views Control Systems» more  CDC 2008»
15 years 3 days ago
A Hamiltonian approximation method for the reduction of controlled systems
Abstract-- This paper considers the problem of model reduction for controlled systems. The paper considers a dual/adjoint formulation of the general optimization problem to minimiz...
Siep Weiland
CDC
2009
IEEE
154views Control Systems» more  CDC 2009»
15 years 2 months ago
Structure-preserving model reduction of complex physical systems
— Port-based network modeling of complex physical systems naturally leads to port-Hamiltonian system models. This motivates the search for structure-preserving model reduction me...
Arjan van der Schaft, Rostyslav V. Polyuga
MMAS
2010
Springer
14 years 4 months 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...
CDC
2008
IEEE
100views Control Systems» more  CDC 2008»
15 years 4 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
80
Voted
CDC
2008
IEEE
158views Control Systems» more  CDC 2008»
15 years 4 months ago
On passivity based control of stochastic port-Hamiltonian systems
— This paper introduces stochastic port-Hamiltonian systems and clarifies some of their properties. Stochastic portHamiltonian systems are extension of port-Hamiltonian systems ...
Satoshi Satoh, Kenji Fujimoto