Right-Half-Plane Zeros

A right-half-plane zero is when the exponential growth rate of an input does not affect the output. For example, eating ice cream increases happiness but creates more unhappiness so you eat more ice cream to make up for it and so on until there is no ice cream anywhere.

A system with a right-half-plane zero needs to be carefully designed because, when subjected to an input, it will have the inverse response at first. For example, when a plane attempts to climb by pitching up, it moves down first. If the pilot over-corrects by pitching up further, the input will cause the opposite effect—causing a stall and eventually crashing the plane.

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