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» Symplectic Model Reduction of Hamiltonian Systems
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CDC
2009
IEEE
154views Control Systems» more  CDC 2009»
13 years 10 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
IPPS
2007
IEEE
13 years 12 months ago
Performance Evaluation of two Parallel Programming Paradigms Applied to the Symplectic Integrator Running on COTS PC Cluster
There are two popular parallel programming paradigms available to high performance computing users such as engineering and physics professionals: message passing and distributed s...
Lorena B. C. Passos, Gerson H. Pfitscher, Tarcisio...
CDC
2008
IEEE
132views Control Systems» more  CDC 2008»
13 years 7 months ago
Global symplectic uncertainty propagation on SO(3)
Abstract-- This paper introduces a global uncertainty propagation scheme for the attitude dynamics of a rigid body, through a combination of numerical parametric uncertainty techni...
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
MMAS
2010
Springer
13 years 12 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...
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CDC
2008
IEEE
111views Control Systems» more  CDC 2008»
13 years 7 months 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