What is the condition for a system to be classified as stable according to the Routh-Hurwitz criterion?

All the roots of the characteristic equation must lie in the left half of the 'S' plane.

Fill in the blank: A system is said to be ______ if all the roots of the characteristic equation lie on the imaginary axis.

Marginally stable

True or False: The Routh-Hurwitz criterion can be applied to nonlinear systems.

False. The Routh-Hurwitz criterion is applicable only for linear systems.

Riddle: I can tell you if a system's roots are stable or not, without finding them. What am I?

Routh-Hurwitz Criterion

What is the necessary condition for a system to be stable according to the Routh-Hurwitz stability criterion?

All coefficients of the characteristic polynomial must be positive.

In a Routh array, if the first column has sign changes, what does it indicate?

The number of sign changes indicates the number of roots in the right half of the s-plane.

Fill in the blank: The Routh-Hurwitz criterion was developed by ______ and ______.

A. Hurwitz and E.J. Routh

Which of the following statements is true about the Routh-Hurwitz criterion? A) It provides exact pole locations B) It is valid for complex coefficients C) It can determine relative stability D) It cannot be used for linear systems

C) It can determine relative stability

True or False: A system is unstable if all the roots of the characteristic equation lie in the left half of the s-plane.

False. A system is unstable if any root lies in the right half of the s-plane.

What does BIBO stand for in the context of system stability?

Bounded Input Bounded Output

Fill in the blank: The Routh-Hurwitz criterion can determine the range of ______ for stability.

K

Which of the following statements is true regarding a stable system? A) It has at least one root in the right half of the s-plane. B) All roots lie in the left half of the s-plane. C) All roots lie on the imaginary axis. D) It has no roots.

B) All roots lie in the left half of the s-plane.