Nondegenerate necessary conditions of optimality for problems without normality assumptions

Nondegenerate second-order necessary conditions of optimality for general nonlinear optimization problems are presented and discussed in this article. Besides functional equality and inequality constraints, we also consider constraints in the form of an inclusion into a given closed set. Without assuming a priori normality, our conditions remain informative for abnormal points, and, under very general assumptions also take into account the second order effect of the curvature of the set in the inclusion constraints. © 2005 IEEE.

Авторы
Язык
Английский
Страницы
7302-7307
Статус
Опубликовано
Номер
1583339
Том
2005
Год
2005
Организации
  • 1 Differential Equations and Functional Analysis Dept., Peoples Friendship University of Russia, 6, Mikluka-Maklai St., Moscow, 117198, Russian Federation
  • 2 Instituto de Sistemas e Robótica, Fac. Uldade de Engenharia, Universidade do Porto, R. Dr. Roberto Frias, 4200-465 Porto, Portugal
Ключевые слова
Constraint theory; Optimization; Problem solving; Functional equality; Inequality constraints; Nonlinear optimization problems; Nonlinear control systems
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3427/