The construction of approximately invariant strategies in singularly perturbed control systems with uncertainty

In control systems with uncertainty one must pay much attention to the construction of determined strategies ensuring invariance of different output variables. If in the system a small parameter is underlined then it would be better to know about, the possibility of asymptotics of such strategies. In literature devoted to the problems of control systems with a small parameter there are some results on the proof of decomposition of some feature in the problem of invariant control in fast and slow motion control systems. It's assumed that there are finite perturbations for right parts of equations of the singularly perturbed control system. One must construct invariant strategies based on the decomposition of the initial system on subsystems and using invariant strategies of lower order. The work used well-known results by Hrustaliov M.M. (1987) on the topic.