Artstein, Zvi Bang-bang controls in the singular perturbations limit. (English) Zbl 1167.49316 Control Cybern. 34, No. 3, 645-663 (2005). Summary: A general form of the dynamics obtained as a limit of trajectories of singularly perturbed linear control systems is presented. The limit trajectories are described in terms of probability measure-valued maps. This allows to determine the extent to which the bang-bang principle for linear control systems is carried over to the singular limit. Cited in 1 Document MSC: 49K40 Sensitivity, stability, well-posedness 93E20 Optimal stochastic control 49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) 93C70 Time-scale analysis and singular perturbations in control/observation systems Keywords:bang-bang; singular perturbations; Young measures PDFBibTeX XMLCite \textit{Z. Artstein}, Control Cybern. 34, No. 3, 645--663 (2005; Zbl 1167.49316) Full Text: EuDML