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Mar 11, 2016 at 19:20 comment added Richard Zhang Excellent point. In order to get a real symmetric posdef $X$ "close" to solving the ARE, we would have to reformulate the problem into a semidefinite program.
Mar 11, 2016 at 18:46 comment added Robert Israel But in many cases this algebraic Riccati equation has no real solutions.
Mar 11, 2016 at 17:39 history edited Richard Zhang CC BY-SA 3.0
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Mar 9, 2016 at 21:55 history answered Richard Zhang CC BY-SA 3.0