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The FMC group investigates a broad spectrum of subjects using multiple methodologies, all centered on the dynamic behavior and automated control of aerial vehicles. This encompasses studies that develop novel theoretical frameworks, formulate innovative computational methods, conduct distinctive analyses and experiments, and pioneer technologies that transform engineering applications. Research breakthroughs are implemented across aircraft, helicopters, rockets, satellites, space probes, missiles, artillery, parachutes, parafoils, air traffic systems, and more. Key areas of focus within FMC include: flight mechanics, system dynamics, control theory, analytical methods and algorithms for dynamic system control, optimization and robustness in aviation operations, airspace management, aviation's environmental effects, decision support system development, human-machine interaction in flight, cognitive modeling for engineering solutions, dynamical systems theory, information and complexity studies, robust multivariable control for aerospace applications, nonlinear system stability analysis, fault-tolerant estimation and control systems, avionics system architecture, neural network-based adaptive flight control, visual-based guidance and navigation, autonomous high-performance maneuvering, and artificial intelligence applications.