✦ LIBER ✦

Short communications on the existence of touch points for first-order state inequality constraints

✍ Scribed by Hans Seywald; Eugene M. Cliff

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 380 KB
Volume: 17
Category: Article
ISSN: 0143-2087
DOI: 10.1002/(sici)1099-1514(199612)17:5<357::aid-oca578>3.0.co;2-f

No coin nor oath required. For personal study only.

✦ Synopsis

The appearance of touch points in state-constrained optimal control problems with general vector-valued control is studied. Under the assumption that the Hamiltonian is regular, touch points for first-order state inequalities are shown to exist only under very special conditions. In many cases of practical importance these conditions can be used to exclude touch points a priori without solving an optimal control problem. The results are demonstrated on a simple example.