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magnifik
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a network has the equation s2 + (3+6K1)s + 6K2 = 0
it has to be stable and cannot decay faster than e-3t
show that the network must meet the following criteria:
K2 > 0
|K1| < 1/2
K2 > 3K1
My attempt at the solution:
solving the quadratic formula for s, i get
[-(3+6K1)2 + √(3+6K1)2 - 4(6K2)] / 2
i believe the first two are true because the coefficients cannot be < 0
i also believe that ω should be less than 3. i am having trouble with the last condition, K2 > 3K1. where does this come from??
it has to be stable and cannot decay faster than e-3t
show that the network must meet the following criteria:
K2 > 0
|K1| < 1/2
K2 > 3K1
My attempt at the solution:
solving the quadratic formula for s, i get
[-(3+6K1)2 + √(3+6K1)2 - 4(6K2)] / 2
i believe the first two are true because the coefficients cannot be < 0
i also believe that ω should be less than 3. i am having trouble with the last condition, K2 > 3K1. where does this come from??
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