The output of a marginally stable system has the following output response

1. Which of the following indicate the output of a marginally stable control system?
2. What is the condition of the system is marginally stable?
3. How do you know if a transfer function is marginally stable?
4. How do you tell if a system is stable marginally stable or unstable?

Which of the following indicate the output of a marginally stable control system?

Single pole at origin or on the imaginary axis makes the system marginally stable or just stable.

What is the condition of the system is marginally stable?

A marginally stable system is one that, if given an impulse of finite magnitude as input, will not "blow up" and give an unbounded output, but neither will the output return to zero. A bounded offset or oscillations in the output will persist indefinitely, and so there will in general be no final steady-state output.

How do you know if a transfer function is marginally stable?

If the system transfer function has simple poles that are located on the imaginary axis, it is termed as marginally stable. The impulse response of such systems does not go to zero as t→∞, but stays bounded in the steady-state.

How do you tell if a system is stable marginally stable or unstable?

If the system is stable by producing an output signal with constant amplitude and constant frequency of oscillations for bounded input, then it is known as marginally stable system. The open loop control system is marginally stable if any two poles of the open loop transfer function is present on the imaginary axis.