Abstract
The paper deals with the optimal control 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.
