In the last decades, we have witnessed an exploding growth of different kinds of sophisticated distributed systems with financial, industrial, ecological, security, military, and many other ap-plications. Providing high integrity of such systems is becoming a key point of their develop-ment, evolution, and usage, especially in various crisis situations and under disastrous and ad-versarial conditions. The paper reviews a number of existing works on the integrity, security, and recovery of distributed systems. It also briefs the main aspects of the Spatial Grasp Model and Technology (SGT), reflecting some general issues of the paradigm, its Spatial Grasp Lan-guage (SGL), and networked SGL interpretation in distributed environments. SGT can dynami-cally establish and keep superior power over large distributed systems, including creating them from scratch. Using a graph-based representation of the distributed system topologies, with nodes having both virtual and physical properties, the paper shows full topology creation start-ing from all nodes in parallel and then from a single node, also copying the existing topology in similar cases. In addition, it demonstrates how to organize distributed systems in such a way so that they can self-recover in any circumstances and after any damages by supplying their nodes with universal genetic-like capabilities by which any self-repairs can be organized. Such recovery may be from missing neighboring nodes and links to the rebuilding of the distributed topologies, which means they cannot be destroyed even in the severest conditions. These features can be particularly useful after IT network damages, environmental and industrial disasters, for crisis management, and on battlefields. The paper confirms the efficiency of the developed distributed control approach for providing high integrity and self-recovery of im-portant distributed systems.