One New Property of a Class of Linear Time-Optimal Control Problems

Abstract

The following paper deals with a new property of linear time-optimal control problems with real eigenvalues of the system. This property unveils the possibility of synthesizing the time-optimal control without describing the switching hyper-surfaces. Furthermore, the novel technique offers an alternative solution to the classic example of the time-optimal control of a double integrator system.

Keywords

• time-optimal control
• minimum time control
• Pontryagin’s maximum principle
• synthesis of optimal systems
• linear systems
• switching surface