In future military satellite communications infrastructure, it is envisioned that satellite communications systems and hybrid space-terrestrial systems are essential components for improved warfighting capabilities and enhanced defensive control over complex collaborative missions. These wideband space communication networks entail unprecedented complexity and unpredictability of the operating environments as well as extremely high stake of electronic attacks and countermeasures. Therefore, it is essential to develop cognitive spectrum management and agile waveform adaptation solutions that are not only context-aware and capable of learning and probing for subscriber distributions, quality of services, mission priorities and traffic patterns, but also agile in waveform adaptation to provide active countermeasures for persistent and adaptive RF interferences and adversarial jamming. IFT team proposes a network survivability oriented Markov game (NSOMG) framework for dynamic spectrum management and waveform adaptation of the advanced wideband satellite communications. There are four major intertwined components: i) observed or reported system states including status of satellites, earth stations, warfighters, and communication links; ii) on-line learning and subsystem performance evaluation; iii) NSOMG based prediction and scheduling; and iv) joint spectrum allocation and waveform adaptation. Our approach follows a general feedback control system structure: State Observation (SO) – System Identification (SI) – Controller – Actuator.