This thesis presents an approach to understanding and enhancing the robustness of aerospace systems through the integration of network analysis, Design Structure Matrix (DSM), Singular Value Decomposition (SVD), and robustness simulation techniques. This methodology called the Importance Hierarchy method, provides a comprehensive framework for decomposing the interactions of aerospace systems, focusing on identifying and evaluating critical components and interactions. The Importance Hierarchy method was used to study the Autonomous Flight Termination Unit (AFTU) by analyzing its components and interdependencies. The AFTU was selected because it recently completed a Preliminary Design Review (PDR), and its design and operational functions were well-known. During the PDR phase, it was found that the GPS circuit card assembly was vulnerable due to the extreme vibration environment. This research analysis has identified the GPS unit as a critical component through network analysis due to its pivotal role and interdependencies with other components. Therefore, if this analysis was performed during the PDR phase, it could have saved time and money. The findings from this research can contribute significantly to the aerospace industry by providing a robust framework for strategic decision-making, visually communicating complex system dynamics, and understanding the robustness of aerospace systems. This approach is instrumental in mitigating risks and ensuring aerospace systems' long-term reliability and safety.