Conditioned Frequency Responses
An example Imagine we’re looking into a system that has the following sort of form $$ \ddot{y}(t) + c \dot{y}(t) + k y(t) = x_{1}(t) + x_{2}(t) $$ where \( y \) is our output and there are two inputs, \( x_{1} \) and \( x_{2} \). For the purpose of this example, we don’t know exactly what \( c \) and \( k \) are - the specific system we have is a bit of a mystery....