Open multi-agent systems are frequently characterized by having little or no control over the behavior of the agents. The internal implementation and architecture of agents usually are inaccessible, and different teams may have developed them but with no coordination between them. Furthermore, agents may enter or leave the system at their will. A governance approach defines the interaction rules that must be obeyed by the agents. These rules allow for a greater control and predictability of the observable system behavior. In this thesis, we propose a governance approach to deal not only with the monitoring and control of agents` behavior but also to deal with dependability concerns. The original definition of dependability is the ability to deliver service that can justifiably be trusted. A governance approach that also deals with dependability has as main benefit the reuse of the monitoring and enforcement present in the governance infrastructure for dependability. We present a case study in the context of an air traffic control system to illustrate our approach.