Electrical connections between different materials. An electrical connection system includes electrical components and an electrical connection between the electrical components. The electrical connection includes a functionally graded material. A method of making an electrical connection between different materials includes the steps of: providing an electrical component which includes a material; providing another electrical component which includes another material; and electrically connecting a functionally graded material between the electrical components. An electrical connection system includes an electrical component and a functionally graded material electrically connected to the electrical component. The functionally graded material provides a gradual transition between at least two dissimilar materials.