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Solvability and Asymptotic Behavior of Generalized Riccati equations arising in Indefinite Stochastic LQ Controls

Rami, Mustapha Ait; Chen, Xi; Moore, John; Zhou, Xun


The optimal control problem in a finite time horizon with an indefinite quadratic cost function for a linear system subject to multiplicative noise on both the state and control can be solved via a constrained matrix differential Riccati equation. In this paper, we provide general necessary and sufficient conditions for the solvability of this generalized differential Riccati equation. Furthermore, its asymptotic behavior is investigated along with its connection to the generalized algebraic...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/9.911419


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