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Sufficient Optimality Conditions for Optimal Control Problems with State Constraints
(2019-06-11)
It is well-known in optimal control theory that the maximum principle, in general, furnishes only necessary optimality conditions for an admissible process to be an optimal one. It is also well-known that if a process ...
On the solution of mathematical programming problems with equilibrium constraints
(2002-02-01)
Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints have a form that is analogous to first-order optimality conditions of constrained optimization. ...
Imposing Radiality Constraints in Distribution System Optimization Problems
(Institute of Electrical and Electronics Engineers (IEEE), 2012-02-01)
Distribution systems commonly operate with a radial topology, so all models of optimization problems in these distribution systems should consider radiality in their formulation. This work presents a literature review, a ...
Optimality conditions for infinite horizon control problems with state constraints
(Pergamon-Elsevier B.V. Ltd, 2009-12-15)
Necessary conditions of optimality in the form of a maximum principle are derived for state constrained optimal control problems with infinite horizon. A notable feature of our optimality conditions is the derivation of ...
Constant-Rank Condition and Second-Order Constraint Qualification
(Springer/plenum PublishersNew YorkEUA, 2010)
A practical optimality condition without constraint qualifications for nonlinear programming
(Springer/plenum PublishersNew YorkEUA, 2003)
On Second-Order Optimality Conditions for Vector Optimization
(Springer/plenum PublishersNew YorkEUA, 2011)
Regularity Conditions in Differentiable Vector Optimization Revisited
(Springer/plenum PublishersNew YorkEUA, 2009)
Nonlinear-programming reformulation of the order-value optimization problem
(Physica-verlag Gmbh & CoHeidelbergAlemanha, 2005)
A Cone-continuity Constraint Qualification And Algorithmic Consequences
(SIAM PUBLICATIONSPHILADELPHIA, 2016)