Automatic Control Systems - ECE Questions and Answers

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Consider the following statements:

If any root of characteristic equation has a positive real part the impulse response is unbounded and system is unstable.
If all the roots of a characteristic equation have negative real parts, the impulse response decays to zero.
If one or more non-repeated roots of characteristic equation are on jω axis impulse response is bounded but the system is unstable.

Which of the above equations are correct?

1, 2 and 3

1 and 2 only

1 and 3 only

2 and 3 only