Javier F. Rosenblueth, "Normality and Quasinormality in Nonlinear Programming and Optimal Control," WSEAS Transactions on Systems and Control, vol. 13, pp. 510-513, 2018, DOI:
Javier F. Rosenblueth. Normality and Quasinormality in Nonlinear Programming and Optimal Control.
WSEAS Transactions on Systems and Control. 2018;13:510-513.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 13, 2018
Normality and Quasinormality in Nonlinear Programming and Optimal Control
Author:
Abstract: In nonlinear programming, the notion of quasinormality provides a constraint qualification which is in general weaker than that of normality, and it emerges naturally from an extended Lagrange multiplier rule. In this paper, we explain in detail its origin and some of its consequences in optimization theory for finite dimensional problems involving equality and inequality constraints, and provide a possible generalization to optimal control problems.
Keywords:
Lagrange multipliers, equality and inequality constraints, quasinormality, normality, optimal control
Pages: 510-513 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #57 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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