Question

The stability of the linear system:

(a) Determined by the location of the poles

(b) Dependent entirely of whether or the system is driven

(c) The stability of the undriven linear system is dependent on the magnitude of the final initial state.

(d) Stability cannot be determined by the open loop poles

I have been asked this question during an online exam.

My query is from Necessary Conditions for Stability and Non-Linear Systems topic in chapter Stability and Algebraic Criteria of Control Systems

Answer 1

Correct answer is (a) Determined by the location of the poles

To elaborate: Linear system’s stability can be determined by the location of poles and also it is independent entirely of whether or the system is driven and the stability of the undriven linear system is independent on the magnitude of the final initial state.