You are here: Chapter 4 4. Continuous Time SignalsThe advantage of being able to cast a modeling problem into the formof a linear approximation is that subsequent analysis, as well ascontroller design, can draw on the wealth of information that isavailable about the operation of linear systems. In this chapter we willcover the fundamentals of this theory for linear models ofcontinuous-time processes.
![Proper transfer function causal Proper transfer function causal](/uploads/1/2/5/3/125363974/452881002.jpg)
Any given transfer function which is strictly proper can easily be transferred into state-space by the following approach (this example is for a 4-dimensional, single-input, single-output system): Given a transfer function, expand it to reveal all coefficients in both the numerator and denominator. This should result in the following form.