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Signals and Systems by Smarajit Ghosh

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8

Stability

Every system has to pass through a transient stage for a small period before reaching a steady state. Automatically the question comes into play, “Will the system reach to its steady state after passing through the transients?” To get the answer of this question, study of stability is of utmost importance. If the system is stable, its performance and improvement can be taken into account for further consideration. 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.

The main objective of this chapter is to study the factor on which stability ...

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