## 1 Introduction
### Related Work
The proposed scheduling procedure is implemented minimizing the load curtailment during the islanded mode operation. It depended on the operations of a centralized control system that is utilized to acquire the needed data and perform the appropriate control commands. It also handled the uncertainty factors of the demand side, generation side, and the transit between operation modes of the MG. The modeling of the normal operation state is achieved via mixed-integer programming. While linear programming is utilized to simulate the resilient operation state. The results of the applied numerical simulation indicated that the proposed model has economic and resiliency merits [15]. Moreover, these results aimed to reduce the required load shedding by developing a new mathematical model based on the survivability factor. The proposed technique is tested on MG during the stand-alone operation mode. The study is built as an optimization problem framework that is considered as a non-linear and non-convex problem. An interior point optimizer (IPOPT) solver is utilized through this study to solve the proposed problem. Results emphasized on the applicability of the proposed system to improve the resiliency of the MG via performing load shedding processes. Analogous to our scheme [15], specified the load-shedding algorithm based on the load priority aspect. However, they considered a time-dependent priority through the applied algorithm, while we assumed static load priorities. The authors of Reference [16] proposed an MG system as one of the solutions to meet the common concerns of the power systems. It proposed MG solution as part of an organized resiliency plan to reduce the interruption cases of power to critical loads. It also assessed the implementation of MG as a resiliency key, involving its benefits and technical challenges. A novel distributed noise-resilient secondary control scheme is proposed by [PERSON] [17]. The proposed control scheme mainly aimed to restore the voltage and frequency parameters. It is implemented on an islanded MG inverter-based with an additive type of noise. Further, the proposed consensus protocols involved both noisy measurements and a non-linear model of the system. MATLAB/SimPowerSystem platform is utilized for simulation purposes to evaluate the performance of the control scheme. Results indicated the effectiveness of the proposed scheme in managing the frequency and voltage parameters and maintaining an accurate proportional real power-sharing. An algorithm is proposed by [PERSON] [18] to minimize the electrical losses and operational cost. The algorithm is characterized by its resiliency against the communication delay. It also utilized the adaptive step-size that is based on the maximum rate of the imbalance flow. Following numerical simulation of an IEEE 39-bus system, results indicated that the utilization of the adaptive step-size is more efficient than both diminishing static or constant step sizes. [PERSON] [19] developed an MG model that mainly focused on the demand response potentials test. The proposed model aimed to increase the financial gain, and provide a resilient model during the islanded operations. A mathematical technique called Benders decomposition is implemented in order to decompose the model into one master problem and two sub-problems. The master problem optimization is relevant to the status of the generation and battery units. The first sub-problem is based on the optimization of the proposed model operation. The second sub-problem is responsible for the resiliency check of the MG in order to verify safe and reliable operation. The results indicated the effectiveness and economic features of the proposed model. A new control approach for a Direct Current (DC)-MG is proposed by Reference [20]. An event-triggering communication approach is utilized to provide the data transmission during the inactive status of the Denial of Service (DoS) attack.