Question

What is Routh's stability criterion used for?

1) Determining the number of roots with positive real parts
2) Determining the number of roots with negative real parts
3) Determining the number of roots with imaginary parts
4) Determining the number of roots with zero real parts

Answer 1

Routh's stability criterion is used in physics to determine the stability of a system represented by a polynomial equation.

Step-by-step explanation:

Routh's stability criterion is used in physics to determine the stability of a system represented by a polynomial equation. It helps in determining the number of roots with positive real parts and the number of roots with zero real parts. These roots are important in analyzing the stability of a system, as positive real parts indicate instability and zero real parts represent marginally stable conditions.