Question: 3 . ( 6 ) A SYSTEM HAS THE SECOND - ORDER CHARACTERISTIC EquATION: s 2 + a s + b = 0 WHERE a

3.(6) A SYSTEM HAS THE SECOND-ORDER CHARACTERISTIC EquATION:
s2+as+b=0
WHERE a AND b ARE CONSTANT PARAMETERS DETERMINE THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE SYSTEM TO BE STABLE. SHOW YOUR PROOF IN DETAIL.
(b) BASED ON YOUR RESULT IN (a) ABOVE, IS IT POSSIBLE TO DETERMINE THE STABILITY OF A SECOND-ORDER SYSTEM SUST BY INSPECTING THE COEFFICIENTS OC THE CHARACTERISTIC EQUATION?
3 . ( 6 ) A SYSTEM HAS THE SECOND - ORDER

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