A system is represented by the differential equation rf2 y dy dt2 dt -ry + 2 3 7 + y

Chapter 0, Problem AP11.6

(choose chapter or problem)

A system is represented by the differential equation rf2 y dy dt2 dt -ry + 2 3 7 + y (lit + u, where y = output and u = input. (a) Develop a state variable representation and show that it is a controllable system, (b) Define the state variables as x'i = y and x2 = dy/dt - , and determine whether the system is controllable. Note that the controllability of a system depends on the definition of the state variables.

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