Question

The non-linear system

(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 had been asked this question in exam.

The query is from Liapunov’s Stability Criterion topic in division Liapunov’s Stability Analysis of Control Systems

Answer 1

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

Best explanation: For the non-linear system where the input parameters or external input is having non-linear relationship with the output and behavior for small deviations about the equilibrium point may be different from the large deviation.