Semi-smooth Newton Methods for Time-Optimal Control for a Class of ODEs

摘要

Time optimal control problems for a class of linear multi-input systems are considered. The problems are regularized and the asymptotic and monotone behavior of the regularisation procedure is investigated. For the regularised problems the applicability of semi-smooth Newton methods is verified. First numerical tests are presented which show that the proposed approach, differentialy from other methods, does not rely a-priory information of the switching structure.