Singular Perturbations in Non-Linear Optimal Control Systems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3772 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3772 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3772 archive 351 disk0/00/00/37/66 2016-01-15 02:02:40 2021-08-27 17:14:25 2016-01-15 02:02:40 monograph show 2 Quincampoix M. AL1125 Zhang H. Singular Perturbations in Non-Linear Optimal Control Systems pub iis_sys iis_met prog_dyn We study convergence of value-functions associated to control systems with a singular perturbation. In the nonlinear case, we prove new convergence results: the limit of optimal costs of the perturbed system is an optimal cost for the reduced system. We furthermore provide an estimation of the rate of convergence when the reduced system has solutions regular enough. 1993-09 published WP-93-048 WP-93-048 10 2311 public working_paper IIASA, Laxenburg, Austria 24 FALSE info:eu-repo/semantics/book