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Stability

# Stability - Stability What is stability Consider a ball on...

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Stability What is stability? Consider a ball on a hill, a flat surface or in a valley. As the system evolves in time, the summarizing function takes on various values conveying some information about the system.

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Stability is directly associated with equilibrium points or equilibrium states. 1 2 When studying stability, note that you will look at the zero-state response and the zero-input response separately. 3 BIBO stands for bounded input, bounded output. BIBO stable is a condition such that any bounded input yields a bounded output. This is to say that as long as we input a stable signal, we are guaranteed to have a stable output. BIBO is for zero state response and marginal and asymptotic stability is for zero input response. Please Note: In reality you want to start an analysis with a stability check. If the system is not stable, you have to use a stabilization method such as feedback to stabilize the system.
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