Minimum time and minimum energy for linear control systems

摘要

In this paper we give estimates concerning regularity properties of the minimum time function and the minimum norm controls involving the controllability function given by the observability inequalities. We further study the continuity of the minimum time function in two variables (the initial point and the radius of the ball that limits the control). We prove a maximum principle for both time and norm optimal control problems. (C) 2020 Elsevier B.V. All rights reserved.