State-Space Models

State-Space Models

A state-space model is a structured form or representation of a set of differential equations. Statespace models are very useful in Control theory and design. The differential equations are converted in matrices and vectors, which is the basic elements in MathScript. Assume we have the following differential equations:

A general linear State-space model may be written on the following general form:

X = Ax + Bu

Y = Cy +Du