Question

The linear autonomous systems:

(a) Have one equilibrium state

(b) Their behavior determines the qualitative behavior of the s-plane

(c) System behavior for small deviations about the equilibrium point may be different from the large deviation

(d) Both a and b

I have been asked this question in a national level competition.

This is a very interesting question from Liapunov’s Stability Criterion topic in section Liapunov’s Stability Analysis of Control Systems

Answer 1

The correct choice is (d) Both a and b

Explanation: The linear autonomous systems having the differential terms with the linear relationship and have one equilibrium state and their behavior determines the qualitative behavior of the s-plane.