Electric vehicles (EVs) are considered as portable sources of power which can be integrated with any infrastructure, including power grid at different geographical locations, forming a dynamically varying system. Grid-to-vehicle (G2V) and vehicle-to-grid (V2G) connections are considered as essential parts of the future smart grids which can considerably enhance the performance of the system in different aspects. The control strategy for integration of EVs plays a key role in enhancing the performance of power system. The aim of this paper is to study different types of control strategies for integration of electric vehicles with power grid. The control strategies that are used for G2V and V2G connections include multi-agent control, frequency control, aggregated control, virtual synchronous machine-based control, etc. which are reviewed in detail. Detailed comparisons between these control methods are presented in this paper. This paper further highlights the transient stability of power system on both distribution and wide-area levels.