Controllability Problem of Three Dimensional Control Systems in Cylindrical Coordinates

In the present paper, the controllability problem for three dimensional parabolic control systems with nonlinear boundary is discussed. The nonlinear item only satisfies the local Lipschitz condition. The step function is applied to the approximate controllability problem of corresponding linear system and an explicit expression of control is provided. Based on the result of linear systems, the approximate controllability problem of nonlinear systems is solved.