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    The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system

    Access Status
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    Authors
    Ntogramatzidis, Lorenzo
    Ferrante, A.
    Date
    2019
    Type
    Journal Article
    
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    Citation
    Ntogramatzidis, L. and Ferrante, A. 2019. The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system. Linear and Multilinear Algebra. 67 (1): pp. 158-174.
    Source Title
    Linear and Multilinear Algebra
    DOI
    10.1080/03081087.2017.1415292
    ISSN
    0308-1087
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/68078
    Collection
    • Curtin Research Publications
    Abstract

    This paper analyses the properties of the solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. This analysis reveals the presence of a subspace that may provide an appropriate degree of freedom to stabilize the system in the related optimal control problem even in cases where the Riccati equation does not admit a stabilizing solution.

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