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December 16th, 2007, 08:45 AM   #1
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Non-Autonomous Differential Equation Stability, Please Help

Any one knows how to solve it?? (see picture for better description)

Show that the linear, time varying system
x' = A(t) x

Is asymptotically stable if
x(transposed) * A(t) * x < -epsilon

for all x non zero, t >=0 (equal or greater than 0) , and epsilon > 0



Thank you.
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