Question

The results for the energy :

(a) Energy of the system is non-negative

(b) Energy of the system decreases as t increases

(c) Energy is non-negative and decreases as t increases

(d) Energy is negative

I had been asked this question by my school principal while I was bunking the class.

I'd like to ask this question from Liapunov’s Stability Criterion topic in chapter Liapunov’s Stability Analysis of Control Systems

Answer 1

The correct answer is (c) Energy is non-negative and decreases as t increases

Easiest explanation: Energy is defined as the work done or force which produces certain displacement and the results for the energy are that energy of the system in non-negative and it decreases as t increases.