Routh test_________________?

Correct answer: B. Cannot be used to test the stability of a control system containing transportation lag

  • A. Criterion provides information about the actual location of roots
  • B. Cannot be used to test the stability of a control system containing transportation lag
  • C. Criterion is not applicable to systems with polynomial characteristic equation
  • D. Cannot determine as to how many roots of the characteristics equation have positive real roots

Explanation

The Routh test applies to polynomial characteristic equations and determines how many roots lie in the right half-plane, but not their exact locations. A transportation lag introduces an exponential term, so the usual Routh test cannot be directly applied.

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