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Which of the following represent a stable system?
1. Impulse response of the system decreases exponentially.
2. Area within the impulse response is finite.
3. Eigen values of the system are positive and real.
4. Roots of the characteristic equation of the system are real and negative. Select the correct answer using the codes given below—
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- 1 and 2
- 1 and 3
- 1, 2 and 3
- 1, 2 and 4
Correct Option: D
For the system to be stable—
● Impulse response of the system decreases exponentially.
● Root of the characteristic equation should be left half of the s-plane or we can say real and negative.
● Area within the impulse response is finite.
Hence, alternative (D) is the correct choice.
