Question: A system is represented by the differential equation where y = output and u = input. (a) Develop a state variable representation and show that

A system is represented by the differential equation

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 x1 = y and x2 = dy/dt -µ, and determine whether the system is controllable. The controllability of a system depends on the definition of the state variables.

clil d'y + tl 2 2 dt

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