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hello now id like to tell you about um a technique for putting um a sort of a simplified class of state-space models into a kind of a standard feedback form and this will be very helpful in the future to when we start trying to come up with analysis conditions for these types of systems i just want to sort of introduce the structures um that were going to need later so that it you can sort of build familiarity with it now and it wont be such a surprise when we get around to doing this later um so what im about to tell you um applies to a kind of a special class of our non-linear uh models so its for a special case with a very useful special case and this special case corresponds to when were able to write our system equations when linearized about an equilibrium point in the following special form so we have a d by dt and we have our delta x variable which is measuring our deviation from equilibrium as normal and this is equal to some linear term because weve linearized things
