Question: A particle having unit mass is moving in a fixed straight line under the action of a force u(t) and viscous damping. The equation

A particle having unit mass is moving in a fixed straight line under the action of a force u(t) and viscous

A particle having unit mass is moving in a fixed straight line under the action of a force u(t) and viscous damping. The equation of motion of the particle is (t) + y (t) = u(t). a) Assume that the system is at y (0) = 2, y (0) = 1 at t = 0. Can the system be transferred to y(T) = 1, y (T) = 0 at T = 2 s? If yes, find the input that will perform the transfer.

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