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Unformatted text preview: Real The poles of 2 2 1 ) ( 2 + + = s s s G are j s ±= 1 2 , 1 x x 2 Note that each point on the splane represents an exponential function e st If any pole of the transfer function lies to the right of the imaginary axis, i.e. in the right half of the splane, the real part of that pole will be positive. This means that one exponential factor in the natural response will tend toward infinity with increasing time. In this case the system is said to be dynamically unstable. On the other hand, if all the poles are in the left halfplane , all the exponentials will die out with increasing time. As a conclusion, a necessary and sufficient condition for a linear dynamic system to be dynamically stable is that all its poles lie in the left half of the splane....
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 Spring '11
 Melin
 Linear Systems, Complex number, natural response

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