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Signals and Systems by Smarajit Ghosh

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SHORT QUESTIONS AND ANSWERS

 

Q1. What do you mean by stability?

If a linear time invariant system satisfies the following conditions:

  • even after excitation by a bounded input, output must be bounded, and
  • in the absence of input, output must be zero despite the initial conditions,

the system is said to be stable.

Q2. State Hurwitz’s criterion and give its disadvantages.

Hurwitz had given the sufficient conditions for having all roots of the characteristic equation in left half of s-plane.

The disadvantages of the Hurwitz’s criterion are:

  1. It is very complicated and time consuming for solving higher order systems.
  2. This method is unable to judge the exact number of poles located in right half of s-plane.
  3. It is very tough to predict marginal stability. ...

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