A stochastic tri-layer optimization framework for day-ahead scheduling of microgrids using cooperative game theory approach in the presence of electric vehicles

Stochastic Economic–Resilience Management of Combined Cooling, Heat, and Power-Based Microgrids in a Multi-Objective Approach

“…To address these uncertainties, storage devices, demand response programs (DRPs), and reserve resources are employed in various studies. Additionally, the concept of MGs has emerged as a means to manage these uncertainties [6][7][8][9][10][11][12][13]. Among other advantages of MG development, it includes the enhancement of control and stability in distribution systems [14][15][16][17][18][19][20][21].…”

Is exponential stability achievable in singular perturbed delayed systems with time-varying parameters? A comprehensive analysis

“…Singularly perturbed systems have demonstrated their efficacy as potent mathematical tools for effectively capturing intricate interactions among subsystems characterized by distinct temporal characteristics [ [1] , [2] , [3] ]. These versatile systems find wide-ranging applications across various domains, encompassing chemical reactions, electrical circuits, ecological models, and neural networks [ [4] , [5] , [6] ]. Gaining a comprehensive understanding of the stability properties of such systems holds paramount importance in ensuring their robustness and dependability in real-world applications [ [7] , [8] , [9] ].…”

What are the key stability challenges in high-bandwidth, non-minimum phase systems with time-varying, and non-smooth delays?

“…However, their effective control is inherently hindered by the presence of non-minimum phase delays [ [19] , [20] , [21] ]. These delays introduce a level of complexity and unpredictability that challenge conventional control strategies [ [22] , [23] , [24] ]. Moreover, the delays themselves are prone to abrupt changes, further exacerbating the control problem [ 25 , 26 ].…”