Similar to the Laplace transform, a new transform named Sadik transform is introduced. Proved properties of Sadik transform for derivative of function. Also proved shifting theorem for Sadik transform. Obtained transfer function of dynamical system in control theory using Sadik transform. Solved some applications in control theory by Sadik transform. Proved that the Laplace transform and all the integral transform similar to the Laplace transform available in the literature are particular cases of the Sadik transform.
Keywords : Integral transforms, Laplace transform, Control Theory, Transfer functions, dynamical Systems, Ordinary Differential Equations.