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Network TheoryNetwork Synthesis

A real-rational function F(s) is called positive real if, among other requirements, Re[F(s)] is?

  • ANonnegative for Re(s)>0
  • BAlways negative for Re(s)>0
  • CZero for every complex s
  • DInfinite on the entire j-omega axis
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Correct Answer: A. Nonnegative for Re(s)>0
Explanation: One defining condition of a positive-real function is Re[F(s)]>=0 in the open right-half s-plane, together with appropriate real-rational symmetry conditions.
Reference: Standard network theory: positive-real condition
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