Stability criteria

Discussion in 'Homework Help' started by Geney, Sep 6, 2012.

  1. Geney

    Thread Starter New Member

    Apr 2, 2012
    18
    0
    why are the roots of the characteristic equation lying on left half plane of s-plane stable? why not on the right side?
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,148
    1,791
    In the control systems business there is a saying that "the positive real roots disappear or the system does". Roots in the right half plane correspond to exponential responses that grow to infinity -- essentially destroying the system. Roots in the left half plane correspond to decaying exponentials.

    Kind of a basic thing -- don't they teach this stuff any more?
     
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