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    A discussion on the discrete-time finite-horizon indefinite LQ problem

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    Authors
    Ferrante, A.
    Ntogramatzidis, Lorenzo
    Date
    2016
    Type
    Conference Paper
    
    Metadata
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    Citation
    Ferrante, A. and Ntogramatzidis, L. 2016. A discussion on the discrete-time finite-horizon indefinite LQ problem, 55th Conference on Decision and Control (CDC), pp. 216-220.
    Source Title
    2016 IEEE 55th Conference on Decision and Control, CDC 2016
    DOI
    10.1109/CDC.2016.7798272
    ISBN
    9781509018376
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52505
    Collection
    • Curtin Research Publications
    Abstract

    The aim of this paper is to compare and discuss some old and new results on the discrete-time finite-horizon linear quadratic (LQ) optimal control problem in the case where the quadratic forms in the performance index are not assumed to be positive semidefinite, but only symmetric. We show in particular that the necessary and sufficient conditions presented in most contributions in the literature for the existence of a solution to this problem are in fact only sufficient. Our aim is to investigate this issue further, by addressing some of the most delicate and counterintuitive issues that arise in this context.

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