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>> Instructor: When we're talking about control systems, there is a particular set of general equations that is often used, linear time invariant control systems that are used that are called the state space representation. And this is a classical representation of equations that define the behavior of a control system. There are two equations in the classic description. The first one is x dot of t is equal to, so this is the derivative of x of t, x is t is the state vector, we'll talk about what that is in a moment but it's a multidimensional signal that we're going to make up of A times x of t and if you recall from a dynamical system that the definition of a dynamical system is where you have some variable, some multidimensional state, the derivative of which is equal to A times the state itself, so so far, this is just a dynamical system. So, a little more interesting because we're talking about a system as opposed to just a dyn

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