Continuous-Time Linear Time-Invariant System

An Linear Time-Invariant System that is Continuous-Time

Representations

Verbal Description

Your account will grow in proportion to your balance plus the rate at which you deposit.

Linear Differential Equation

$$y^{\prime }(t)=x(t)+p\cdot y(t)$$

See Linear Differential Equation

Operator Polynomial Equation

$$(1-p\mathcal{A})Y=\mathcal{A}X$$

Block Diagram