Question

Routh test criterion:
A is applicable only to those systems with polynomial characterizatic equation
B. does not prove any information about the actual location of roots
C. is applicable only to those systems with non-polynomial characterizatic equation
D. Gives full information about the actual location of roots

• A. A and B Only
• B. C and D Only
• C. B and C Only
• D. A and D Only

Hint:

Focus on applying Routh’s stability test to assess system stability without solving the characteristic equation explicitly.

Answer 1

The Correct Option is A

Routh’s stability criterion is applicable only to systems with polynomial characteristic equations. It helps determine whether a system is stable but does not provide the exact location of the roots. Instead, it identifies how many roots are in the left or right half of the complex plane.