On the synthesis of time optimal control for a class of linear systems

Deals with the optimal synthesis for a class of linear time optimal control problems of decreasing order. The state-space properties and relationships between two neighboring problems within this class are studied. Based on these properties, a new approach is proposed for synthesis of time optimal control, requiring no description of the switching hyper surface. The approach consists of two main stages: first, the problems state spaces are analyzed, and then the optimal control is obtained by using a multi-stage procedure within the considered class of problems.