Abstract
The paper deals with a new approach for synthesis of time-optimal control for a
class of linear systems. It is based on the decomposition of the time-optimal control problem
into a class of decreasing order problems, and the properties and relations between problems
within this class. First, the problems state-spaces properties are analyzed, and then the optimal
control is obtained by using a multi-stage procedure avoiding the switching hyper surface
description. The emphasis in this paper is on the state-space analysis stage of the approach
proposed.
