Multiple choice

The impulse response h (t) of a linear time invariant continuous time system is described by h (t) = exp ($\alpha$t) u (t) + exp ($\beta$t) u (- t) where u (- t) denotes the unit step function, and $\alpha$ and $\beta$ are real constants. The system is stable if

  1. $\alpha$ is positive and $\beta$ is positive
  2. $\alpha$ is negative and $\beta$ is negative
  3. $\alpha$ is positive and $\beta$ is negative
  4. $\alpha$ is negative and $\beta$ is positive
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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