My Math Forum  

Go Back   My Math Forum > College Math Forum > Linear Algebra

Linear Algebra Linear Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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!
jarvisyang is offline  
 
Reply

  My Math Forum > College Math Forum > Linear Algebra

Tags
equation, lyapunov, prove



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
How to prove an equation tco99 Applied Math 3 September 15th, 2013 02:28 AM
When is this Lyapunov? Toddly53 Applied Math 1 March 6th, 2012 04:56 PM
Lyapunov in duffing and van der pol dantekavala Math Software 0 January 12th, 2012 04:27 AM
How to prove this equation silver Calculus 4 October 11th, 2011 08:00 PM
to prove an equation lambda Real Analysis 1 May 2nd, 2009 11:19 PM





Copyright © 2018 My Math Forum. All rights reserved.