“…The P ∼ V and Q ∼ −ω droop expressions are adopted in this paper due to the introduction of the virtual resistance r v in the output via the proposed control design [24]. The initial conditions of the controller states E d , E dq , E q , and E qq are selected as 0, 1, 0, and 1, respectively, and the nonlinear dynamics (12)- (15) have been proposed in a way to guarantee the boundedness of the controller states E d and E q in the range E d , E q ∈ [−E max , E max ] as explained below. For the controller dynamics (12) and (13), one can consider a Lyapunov function candidate as…”