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Numerical Method for a Class of Algebraic Riccati Equations

Published 30 Oct 2020 in math.NA and cs.NA | (2011.00047v2)

Abstract: We study an iteration approach to solve the coupled algebraic Riccati equations when they appear in general two player closed-loop type Nash differential games over an infinite time horizon. Also, we propose an effective algorithm for finding positive definite solutions. In particular, we present various numerical examples connected with matrix Riccati equations according to different dimensions.

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