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April 20th, 2013, 07:33 PM  #1 
Newbie Joined: Apr 2013 Posts: 3 Thanks: 0  Prove the Lyapunov equation The matrix satifies the following Lyapunov equation prove that necessary and sufficient condition generating a symmetric and positive determined is that all of the eigen values of should be negative. (Hints: rewritten in the Jordan normal form, one can easily prove the proposition) But I still cannnot figure it out with the hints!waiting for your excellent proof! 

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