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in this module we will discuss state space modeling specifically well introduce what we mean by state-space form and we will discuss how it relates to the other modeling formalisms weve used so far in this course specifically regular differential equations and transfer functions well then talk about how to put a system into state space form and we will discuss how to transfer between model types specifically between state space form and transfer function form finally well go through an example a state space model represents a system as a series of first order differential state equations in algebraic output equations so that being said state space form is basically just differential equation form but the differential equations have been rearranged as a series of first order differential equations that is the highest order of the derivative is just a first derivative the reason that we use state space models is because they can be numerically efficient to solve they can handle comp