BIBO stability

BIBO stability, or Bounded Input Bounded Output stability, is a concept in systems theory that indicates if a system produces a limited output when given a limited input. In practical terms, if you provide a system with a reasonable, finite signal (input), a BIBO stable system will not generate an infinitely large response (output). This means the system behaves predictably and safely, preventing runaway signals. Ensuring BIBO stability is crucial in engineering, as it guarantees that systems like electronic circuits, control systems, or algorithms respond reliably without producing excessive or uncontrollable outputs.