Comments on "Structural Invariant Subspaces of Singular Hamiltonian Systems and Nonrecursive Solutions of Finite-Horizon Optimal Control Problems

Author

Ferrante, Augusto ; Ntogramatzidis, Lorenzo

Author_Institution

Dipt. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy

Volume

57

Issue

1

fYear

2012

Firstpage

270

Lastpage

272

Abstract

In this note it is shown that the main result of, 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 and within a more general and rigorous context. We also analyse the proof of the main result of, and the way such result is used to accomodate the boundary conditions in the solution of a finite-horizon linear quadratic optimal control problem.

Keywords

linear quadratic control; boundary condition; extended symplectic system; finite-horizon linear quadratic optimal control problem; finite-horizon optimal control problem; nonrecursive solution; singular Hamiltonian system; structural invariant subspaces; Controllability; Eigenvalues and eigenfunctions; Materials; Optimal control; Riccati equations; Trajectory; Algebraic Riccati equations (AREs); Hamiltonian differential equations (HDE); extended symplectic difference equation (ESDE); linear-quadratic (LQ);

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2162894

Filename

5961611