Abstract: Under the guidance of the "30·60" dual-carbon targets, the traditional power system, which is centered around synchronous generators, is rapidly transitioning to a new type of power system dominated by power electronic inverters. The mutual coupling and influence of these inverters make the voltage/frequency stability of hybrid stations with grid-following and grid-forming inverters more complex, necessitating coordinated control of multiple inverters within the station to maintain stability. This paper reviews the current coordinated control strategies and transient stability analysis for multi-inverter hybrid stations based on the control strategies of inverters and the model of hybrid stations with grid-following and grid-forming inverters. First, the control strategy of individual inverters is presented, the electrical characteristics and dynamic capabilities of different power electronic devices are analyzed, and the necessity of mixing grid-connected and grid-forming inverters in new energy stations is clarified. Second, the main structures and equivalent modeling strategies of current new energy stations are summarized, providing a foundation for subsequent cooperative control and stability analysis of new energy stations. Third, methods for multi-machine transient stability analysis are summarized. Then, the cooperative control strategies of inverters within mixed stations in different scenarios are further organized. Finally, the advantages and limitations of current cooperative control strategies in mixed stations are summarized, offering references and insights for future research.