Description: Based on the selected models and the mathematical methods of formalization and the study of complex systems model was developed and indicators and criteria were improved. The destruction is not considered in the context of physical destruction, not the system's ability to achieve the goals of its functioning. In contrast to existing approaches to models of complex fracture systems in a comprehensive model that considers both structural and functional model of destruction, which are specific organizational-technical systems. The questions of survivability and sustainability have been investigated.
Keywords: graph model, destruction, difficult technical-organizational system, system analysis, structural model, functional model