Stabilization with the Help of Bounded Impulse Feedbacks

Abstract The stabilization problem for continuous dynamic systems by impulse controls is considered. The main idea of the method under consideration consists in introducing special optimal control problems and in the realization of their positional solutions in real time. It is shown that the optimal feedback for auxiliary problems of optimal control (APOC) is a stabilizing impulse feedback for the dynamic system to be stabilized. Algorithms of operating three types of stabilizers based on three types of APOC are described.