Leaky integrator

From Wikipedia, the free encyclopedia

In mathematics, a leaky integrator equation is a differential equation. It is used to describe a component or system that takes an input but gradually leaks a small amount of input over time. The equation is of the form

dx/dt = -Ax + C \,

It appears in hydraulics (leaking basin of water) and electronics, neuroscience (neuron modelled as electric circuit component).

Its general solution is

x(t) = ke^{-At} + C/A \,

where k is a constant.


 This mathematics-related article is a stub. You can help Wikipedia by expanding it.