Abstract: Various of the disclosed embodiments provide systems and methods for creating, deploying, and monitoring “lifted” controller systems able to operate in challenging environments expressing complicated dynamics. These controller systems may employ operator-based approaches, such as the Koopman Operator, to represent the system's complicated dynamics. Such improved representations may facilitate a variety of benefits, such as longer prediction horizons, more effective system predictions, and improved controls. Exemplary controllers suitable for managing both electromechanical systems, such as vehicles, as well as controllers suitable for managing resource allocation systems, such as healthcare networks, are disclosed. Variations and miscellaneous improvements to the creation, operation, and management of the “lifted” controller systems are likewise provided.