New Hamiltonian eigensolvers with applications in control

A new MATLAB toolbox for computing eigenvalues and invariant subspaces of Hamiltonian and skew-Hamiltonian matrices is described. Based on orthogonal symplectic decompositions, the implemented algorithms are both numerically backward stable and structure-preserving. It will be demonstrated how this toolbox can be used to address a number of tasks in systems and control theory, including some model reduction methods and the computation of the H ∞ norm. © 2005 IEEE.


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Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, 2005, null, 6551-6556
Year:
2005
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 Record created 2011-05-05, last modified 2018-09-13

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