Minimax control in the singularly perturbed linear-quadratic stabilization problem

The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.