TY - JOUR
T1 - KT-invexity in optimal control problems
AU - de Oliveira, Valeriano Antunes
AU - Silva, Geraldo Nunes
AU - Rojas-Medar, Marko Antonio
PY - 2009/11/15
Y1 - 2009/11/15
N2 - We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes (processes that obey KT-conditions below) but also a necessary condition.
AB - We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes (processes that obey KT-conditions below) but also a necessary condition.
KW - Generalized convexity
KW - KT-invexity
KW - Kuhn-Tucker type necessary optimality conditions
KW - Optimal control problems
KW - Sufficient optimality conditions
UR - https://www.scopus.com/pages/publications/67749092922
U2 - 10.1016/j.na.2009.03.055
DO - 10.1016/j.na.2009.03.055
M3 - Article
AN - SCOPUS:67749092922
SN - 0362-546X
VL - 71
SP - 4790
EP - 4797
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 10
ER -