Stability

The word stability has a number of technical meanings, all related to the common meaning of the word.

• In mechanics, stability characterizes the result of small perturbations to a system in mechanical equilibrium.

• In system analysis and signal processing, stability means either:
  • BIBO (Bounded Input, Bounded Output) stability
  • Lyapunov stability

• In control theory, stability characterizes the reaction of a dynamic system to external influences.

• In numerical analysis, stability refers to how well an algorithm performs with regard to error in the numerical results: see numerical stability.

• In everyday conversation about computers, stability refers to the tendency or otherwise of a system or program to crash.

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