The field of power system stability and control is moving towards more scalable and adaptable approaches to stability analysis. Researchers are exploring compositional and equilibrium-free methods to analyze power system stability, which can certificate system-wide stability without knowing the system-wide equilibrium. This approach enables the regulation of grid-connected devices to guarantee system-wide stability. Notable papers in this area include:

• Compositional and Equilibrium-Free Conditions for Power System Stability -- Part I: Theory and Part II: Method and Application, which propose a compositional and equilibrium-free approach to analyzing power system stability and provide methods for applying this theory to complex power grids.
• Symmetric Sliding-Mode Control of Grid-Forming Inverters With Controllable Region Under AC and DC Sides Varying, which develops a symmetric sliding-mode control method for grid-forming inverters and derives an explicit voltage controllable region.
• Network-Independent Incremental Passivity Conditions for Grid-Forming Inverter Control, which proves that the Hybrid-Angle Control scheme for grid-forming inverters can exhibit incremental passivity properties between current and voltage at both the AC and DC ports.