Regulation and problems of adaptation are considered in research in aspect of high-quality management. The object of research is foreign students. Adaptation challenges a person’s sense of well-being. Research defines satisfaction as a global assessment of quality of human life. This assessment is based on criteria of the person. systems; in these conditions the development of effective mechanisms of adaptation in the unstable external environment is possible on the assumption of use of co-evolutionary - innovative processes. The recommendations about the creation on the basis of these processes of effective mechanisms of adaptation of social systems to instability conditions are developed. On the basis of a systematic approach in the article explores innovative models of behavior as a way of effective adaptation of social systems in an unstable environment, based on the principle of co-evolutionary innovation. It is shown that the modern period is characterized by the growth of the dynamics and complexity of the interaction of social systems; in these conditions, the development of effective adaptation mechanisms in an unstable environment can be provided the use of evolutionary processes and innovation. To evaluate the potential use of evolutionary processes and innovation to create effective mechanisms for the adaptation of social systems in an unstable environment.