SHORT COMMUNICATIONS ON THE EXISTENCE OF TOUCH POINTS FOR FIRST-ORDERSTATE INEQUALITY CONSTRAINTS

Authors
SEYWALD H CLIFF EM
Citation
H. Seywald et Em. Cliff, SHORT COMMUNICATIONS ON THE EXISTENCE OF TOUCH POINTS FOR FIRST-ORDERSTATE INEQUALITY CONSTRAINTS, Optimal control applications & methods, 17(5), 1996, pp. 357-366
Citations number
8
Categorie Soggetti
Controlo Theory & Cybernetics","Operatione Research & Management Science",Mathematics
Journal title
Optimal control applications & methods → ACNP
ISSN journal
01432087
Volume
17
Issue
5
Year of publication
1996
Pages
357 - 366
Database
ISI
SICI code
0143-2087(1996)17:5<357:SCOTEO>2.0.ZU;2-Q
Abstract
The appearance of touch points in state-constrained optimal control pr oblems with general vector-valued control is studied. Under the assump tion that the Hamiltonian is regular, touch points for first-order sta te 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 prob lem. The results are demonstrated on a simple example.