A relational structure is called reversible iff every bijective endomorphism of that an automorphism. We characterize property in the class disconnected binary structures, and one its subclasses—posets are disjoint union chains. Also, using concept a monotone function from structures preordered by monomorphism into well founded relation, we detect additional classes posets. further give equival...

In this paper, a supervisory controller is proposed to manage the power flow in a hybrid AC/DC micro-grid for both grid-connected and disconnected modes. When the hybrid AC/DC micro-grid is connected to the utility grid, power surplus or shortage leads to power trade between the micro-grid and the utility grid. In the grid-disconnected mode, the renewable power sources (wind and solar generatio...