Future technical systems will be increasingly characterised by openness and heterogeneity of participating elements. Based on exemplary application scenarios such as Desktop Computing Grids, Smart Power Grids, and Networked Camera Systems, this chapter develops a solution perspective to handle anomalies, disturbances, and malicious behaviour by making use of trust and reliability measures in self-organised systems. The overall goal is to increase the robustness of open distributed systems with low overhead. Therefore, a novel self-organised multi-agent organisation-the Trust Community-is introduced in two variants: as implicit and as explicit self-structuring society of autonomous agents. For the explicit variant, a life-cycle and management routines are described. For evaluation purposes, we simulate a Trusted Desktop Computing Grid and introduce different types of stereo-type agent behaviour, ranging from altruistic to egoistic and to cunning behaviour. In order to support efficiency and stabilise the process, we show the benefits of explicit Trust Communities, which results in significantly lower overhead and more reliable relations among agents compared to other forms of agent societies.