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Signals and Systems by Smarajit Ghosh

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SIGNIFICANT POINTS

 

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.

Absolute Stability   The stability of the system with respect to variation of parameters is known as absolute stability and it said to be absolutely stable when it is stable for all values of the parameters.

Relative Stability   It measures the degree of stability and it is a quantitive measure of how fast the transients die out in a system.

Conditional Stability   The stability of the system with respect to its parameter variation is known as conditional stability. ...

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