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BIBO stability


 

In electrical engineering, specifically signal processing and control theory, BIBO Stability is a form of stability for signals and systems.

Related Topics:
Electrical engineering - Signal processing - Control theory - Stability - Signal

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BIBO stands for Bounded Input/Bounded Output.

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If a system is BIBO stable (e.g., a low-pass filter) then the output will be bounded provided that the input to the system is bounded.

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BIBO stability: Time domain condition ►

~ Table of Content ~

►Introduction
►Time domain condition
►Frequency domain condition
►int_{-infty}^{infty}{left|mathbf{h}(t) ight| left| e^{-j omega t} ight| dt}
►int_{-infty}^{infty}{left|mathbf{h}(t) (1 cdot e)^{-j omega t} ight| dt}
►int_{-infty}^{infty}{left|mathbf{h}(t) e^{-s t} ight| dt} mbox{ where } s sigma + j omega mbox{ and Re}(s) sigma 0
►sum_{n -infty}^{infty}{left|mathbf{h}(n) ight| left| e^{-j omega n} ight|}
►sum_{n -infty}^{infty}{left|mathbf{h}(n) (1 cdot e)^{-j omega n} ight|}
►sum_{n -infty}^{infty}{left|mathbf{h}(n) z^{- n} ight|} mbox{ where } z r e^{j omega} mbox{ and } r |z| 1

 

 

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