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State-space analysis in the time-optimal control design for a class of linear systems

Penev B. G., Christov N.

Systems Science

2005

Vol. 31, no 4

33-48

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