Sufficiency of the maximum principle for time optimality

H. O. Fattorini

Sufficiency of the maximum principle for time optimality

Authors

H. O. Fattorini Department of Mathematics, University of California Los Angeles, California 90095-1555, USA.

Keywords:

linear control systems in Banach spaces, time optimal problem

Abstract

For infinite dimensional linear systems, Pontryagin‘s maximum principle is shown to be sufficient for time optimality with conditions on the initial condition and on the target. These conditions cannot be given up and are shown to be best possible by means of counter examples.