ETC EngineeringMCQs
Home › Control Systems › For the cubic polynomial s³+2s²+3s+K, the Routh stability condition for positive K includes?
MCQ Practice Question
Control SystemsRouth-Hurwitz

For the cubic polynomial s³+2s²+3s+K, the Routh stability condition for positive K includes?

  • AK>6
  • B0<K<6
  • CK<0 only
  • DK=6 only
Report an error
Correct Answer: B. 0<K<6
Explanation: The cubic Routh first column is 1, 2, (6-K)/2, K. All must be positive, giving 0<K<6.
Reference: Standard control systems: routh-hurwitz
Continue practicing: Control Systems MCQs or browse all MCQs.