Right-Half-Plane Zeros

In a system modeling an input over time, a right-half-plane zero is when some exponential growth rate of the input has no effect on 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 around because when subjected to an input it will have the inverse response first. For example, when a plane attempts to climb by pitching up, it initially moves down first. If the pilot over corrects by pitching up further, they will input will have no effect on the output and it will end up crashing.

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