IEVref: | 351-45-30 | ID: | |

Language: | en | Status: Standard | |

Term: | unit-step response | ||

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Symbol: | h(t)
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Definition: | quotient step response Δv_{ε}(t) divided by the step height K_{ε} of the step function, the quotient described by$h\left(t\right)=\frac{1}{{K}_{\text{\epsilon}}}.\Delta {v}_{\text{\epsilon}}\left(t\right)$ Note 1 to entry: The unit-step response may be calculated from the unit-impulse response by $h\left(t\right)={\displaystyle \underset{-\infty}{\overset{t}{\int}}g\left(\tau \right)}\text{d}\tau$. Note 2 to entry: The unit-step response of a system mathematically may be considered to result from application of a unit step to an input variable. | ||

Publication date: | 2013-11 | ||

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$h\left(t\right)=\frac{1}{{K}_{\text{\epsilon}}}.\Delta {v}_{\text{\epsilon}}\left(t\right)$

Note 1 to entry: The unit-step response may be calculated from the unit-impulse response by

$h\left(t\right)={\displaystyle \underset{-\infty}{\overset{t}{\int}}g\left(\tau \right)}\text{d}\tau$.

Note 2 to entry: The unit-step response of a system mathematically may be considered to result from application of a unit step to an input variable.