Bang-bang property for Bolza problems in two dimensions

TY - JOUR

T1 - Bang-bang property for Bolza problems in two dimensions

AU - Crasta, G.

AU - Piccoli, B.

PY - 1994/10

Y1 - 1994/10

N2 - Consider the following Bolza problem: {Mathematical expression} We show that, under suitable assumptions on F, G, h, all optimal trajectories are bang-bang. The proof relies on a geometrical approach that works for every smooth two-dimensional manifold. As a corollary, we obtain existence results for nonconvex optimization problems.

AB - Consider the following Bolza problem: {Mathematical expression} We show that, under suitable assumptions on F, G, h, all optimal trajectories are bang-bang. The proof relies on a geometrical approach that works for every smooth two-dimensional manifold. As a corollary, we obtain existence results for nonconvex optimization problems.

KW - Bolza problems

KW - Control theory

KW - bang-bang property

KW - nonconvex optimization problems

UR - http://www.scopus.com/inward/record.url?scp=0028532450&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028532450&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/BF02191766

DO - https://doi.org/10.1007/BF02191766

M3 - Article

VL - 83

SP - 155

EP - 165

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

SN - 0022-3239

IS - 1

ER -