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    On the closed-form solution of the matrix Riccati differential equation for nonsign-controllable pairs

    Access Status
    Fulltext not available
    Authors
    Ntogramatzidis, Lorenzo
    Ferrante, Augusto
    Date
    2011
    Type
    Conference Paper
    
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    Citation
    Ntogramatzidis, Lorenzo and Ferrante, Augusto. 2011. On the closed-form solution of the matrix Riccati differential equation for nonsign-controllable pairs, in I.M.Y. Mareels (ed), Australian Control Conference, Nov 10-11 2011. Melbourne, VIC: Engineers Australia.
    Source Title
    Proceedings of the 2011 Australian Control Conference
    Source Conference
    2011 Australian Control Conference
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/40353
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we present explicit closed form formulae for the solution of the matrix Riccati differential equation with a terminal condition. These formulae can still be employed even in the case in which the system is not sign-controllable. In such situation, the associated algebraic Riccati equation does not admit a solution in general. Therefore, the formulae presented in this paper do not directly depend on the solution of the associated algebraic Riccati equation.

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