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A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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Axioms, 2023 This paper is devoted to the investigation of optimality conditions and saddle point theorems for robust approximate quasi-weak efficient solutions for a nonsmooth uncertain multiobjective fractional semi-infinite optimization problem (NUMFP). Firstly, a
Liu Gao, Guolin Yu, Wenyan Han
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A Note on a necessary condition for optimality [PDF]
Modeling, Identification and Control, 1990 A necessary condition is derived for the optimality of a linear multivariable feedback control system with respect to a quadratic performance index of infinite settling time.
David Di Ruscio
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Approximate Subdifferential of the Difference of Two Vector Convex Mappings
Mathematics, 2023 This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the ...
Abdelghali Ammar +3 more
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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ON THE CONCEPT OF GENERALISED ORDER OPTIMALITY
Tạp chí Khoa học Đại học Đà Lạt, 2012 The main results of this paper include a detailed analysis of the notion of generalised order optimality and some sufficient conditions for a point satisfying the necessary optimality condition [2, 3, Theorem 5.59] to be a generalised order solution of ...
Nguyễn Văn Tuyên +1 more
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Feedback Minimum Principle for Impulsive Processes [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider an optimal impulsive control problem with a terminal functional and trajectories of bounded variation. The control system we consider has a bilinear structure with respect to the state and control variables and is governed by nonnegative ...
V.A. Dyhta, O.N. Samsonyuk
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 We consider the optimal control problem that is described by the system of integro-differential equations of the Volterra type with delay and multipoint performance criterion.
Misir J Mardanov +2 more
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Some remarks on duality and optimality of a class of constrained convex quadratic minimization problems [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper the duality and optimality of a class of constrained convex quadratic optimization problems have been studied. Furthermore, the global optimality condition of a class of interval quadratic minimization problems has also been ...
Roy Sudipta +2 more
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Optimal Control of a Viscous Two-Field Damage Model with Fatigue [PDF]
Journal of Nonsmooth Analysis and Optimization, 2023 Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings.
Livia Betz
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