Comments on “Structural Invariant Subspaces of Singular Hamiltonian Systems and Nonrecursive Solutions of Finite-Horizon Optimal Control Problems”
Citation
Ferrante, Augusto and Ntogramatzidis, Lorenzo. 2012. Comments on “Structural Invariant Subspaces of Singular Hamiltonian Systems and Nonrecursive Solutions of Finite-Horizon Optimal Control Problems”. IEEE Transaction on Automatics Control. 57 (1): pp. 270-272.
Source Title
IEEE Transaction on Automatics Control
ISSN
School
Department of Mathematics and Statistics
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Abstract
In this note it is shown that the main result of [1], concerning a characterization of a pair of structural invariant subspaces associated with the extended symplectic system, is a particular case of a result presented in [2] and [3] within a more general and rigorous context. We also analyse the proof of the main result of [1], and the way such result is used to accomodate the boundary conditions in the solution of a finite-horizon linear quadratic optimal control problem.
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