Application of the boundary function method for finding slow periodic solutions of singularly perturbed bang-bang systems (Q1768966)

The paper is concerned with the analysis of a singularly perturbed bang-bang system describing a controlled object. It is assumed that according to the possible values 1 and \(-1\) of the control, the initial system has two leaves of the slow integral manifold. In the paper, there are formulated conditions providing the existence of an isolated orbitally asymptotically stable periodic solution of the system. This solution is found in the form of asymptotic series. In doing so, the author uses the boundary value functions method.