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in this video Im gonna introduce state space equations the model representation of choice for modern control however before we begin a quick warning were not going to go into depth on the mathematics of state space after this video youre probably not going to be able to write out the equations for any arbitrary system but what I think you will get is a good intuitive understanding of these equations which can be a foundation that you can build on as you learn more at the very least it might clear up a few lingering questions you might have so with that in mind lets get to it Im Brian and welcome to a MATLAB Tech Talk I think an interesting thing about dynamic systems is that they can be represented by ordinary differential equations this is because they have this property that how the system is changing at any given time as a function of its current state if we zip through the derivation for a spring-mass system real quick you can see we end up with a differential equation now th