KT-invexity in optimal control problems

Valeriano Antunes de Oliveira; Geraldo Nunes Silva; Marko Antonio Rojas-Medar

doi:10.1016/j.na.2009.03.055

KT-invexity in optimal control problems

Valeriano Antunes de Oliveira
, Geraldo Nunes Silva
, Marko Antonio Rojas-Medar

Universidade Federal de Uberlândia
Universidade Estadual Paulista Júlio de Mesquita Filho
Universidad del Bío-Bío

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

20 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	4790-4797
Número de páginas	8
Publicación	Nonlinear Analysis, Theory, Methods and Applications
Volumen	71
N.º	10
DOI	https://doi.org/10.1016/j.na.2009.03.055
Estado	Publicada - 15 nov 2009
Publicado de forma externa	Sí

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10.1016/j.na.2009.03.055

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title = "KT-invexity in optimal control problems",

abstract = "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.",

keywords = "Generalized convexity, KT-invexity, Kuhn-Tucker type necessary optimality conditions, Optimal control problems, Sufficient optimality conditions",

author = "\{de Oliveira\}, \{Valeriano Antunes\} and Silva, \{Geraldo Nunes\} and Rojas-Medar, \{Marko Antonio\}",

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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

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SP - 4790

EP - 4797

JO - Nonlinear Analysis, Theory, Methods and Applications

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KT-invexity in optimal control problems

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