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The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I

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2 Author(s)
Ferrante, A. ; Dipt. di Ing. dell'Inf., Univ. di Padova, Padova, Italy ; Ntogramatzidis, L.

A geometric analysis is used to study the relationship existing between the solutions of the generalised Riccati equation arising from the classic infinite-horizon linear quadratic (LQ) control problem and the output-nulling and reachability subspaces of the underlying system. This analysis reveals the presence of a subspace that plays a crucial role in the solution of the related optimal control problem.

Published in:

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Date of Conference:

10-13 Dec. 2012