Optimal orientation of fibre composites for strength based on Hashin’s criteria optimality conditions
Sign Up to like & getrecommendations! Published in 2020 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-019-02462-w
Abstract: The Hashin’s strength criteria are usually employed in first ply failure and damage-onset analysis of fibre-reinforced composites. This work presents optimality conditions of local material orientations for these criteria, in terms of principal stresses and… read more here.
Keywords: principal stress; strength; optimality conditions; fibre ... See more keywords
Necessary First- and Second-Order Optimality Conditions in Discrete Systems with a Delay in Control
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9394-3
Abstract: In the paper, an optimal control problem with a delay in control is considered. Suggesting a new approach, Euler-type necessary optimality conditions and the linearized discrete maximum principle are established. Also, the second-order necessary optimality… read more here.
Keywords: optimality conditions; delay control; control; second order ... See more keywords
Necessary optimality conditions for a nonsmooth semi-infinite programming problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00742-9
Abstract: The nonsmooth semi-infinite programming $$\left( {\textit{SIP}}\right) $$SIP is solved in the paper (Mishra et al. in J Glob Optim 53:285–296, 2012) using limiting subdifferentials. The necessary optimality condition obtained by the authors, as well as… read more here.
Keywords: semi infinite; infinite programming; nonsmooth semi; optimality conditions ... See more keywords
New global optimality conditions for nonsmooth DC optimization problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00833-7
Abstract: In this article we propose a new approach to an analysis of DC optimization problems. This approach was largely inspired by codifferential calculus and the method of codifferential descent and is based on the use… read more here.
Keywords: optimality conditions; new global; global optimality; optimization ... See more keywords
Second-order KKT optimality conditions for multiobjective discrete optimal control problems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Global Optimization"
DOI: 10.1007/s10898-020-00935-7
Abstract: This paper deals with second-order necessary and sufficient optimality conditions of Karush–Kuhn–Tucker-type for local optimal solutions in the sense of Pareto to a class of multi-objective discrete optimal control problems with nonconvex cost functions and… read more here.
Keywords: second order; discrete optimal; control; optimality conditions ... See more keywords
Separation Functions and Optimality Conditions in Vector Optimization
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-1029-4
Abstract: In this paper, we propose weak separation functions in the image space for general constrained vector optimization problems on strong and weak vector minimum points. Gerstewitz function is applied to construct a special class of… read more here.
Keywords: optimality conditions; separation functions; vector optimization;
When the Karush–Kuhn–Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1121-4
Abstract: In this paper, we present higher-order analysis of necessary and sufficient optimality conditions for problems with inequality constraints. The paper addresses the case when the constraints are not assumed to be regular at a solution… read more here.
Keywords: optimality conditions; optimality; kuhn tucker; optimization ... See more keywords
Second-Order Optimality Conditions and Improved Convergence Results for Regularization Methods for Cardinality-Constrained Optimization Problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1320-7
Abstract: We consider nonlinear optimization problems with cardinality constraints. Based on a continuous reformulation, we introduce second-order necessary and sufficient optimality conditions. Under such a second-order condition, we can guarantee local uniqueness of Mordukhovich stationary points.… read more here.
Keywords: second order; optimization problems; convergence; optimality conditions ... See more keywords
Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-021-01829-8
Abstract: In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scenario. The concept of… read more here.
Keywords: optimality conditions; fractional programming; necessary optimality; complex fractional ... See more keywords
Optimality conditions for pessimistic bilevel problems using convexificator
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DOI: 10.1007/s11117-020-00737-x
Abstract: The purpose of this paper is to study the pessimistic version of bilevel programming problems in finite-dimensional spaces. Problems of this type are intrinsically nonsmooth (even for smooth initial data). By using optimal value function,… read more here.
Keywords: optimality conditions; bilevel; pessimistic bilevel; bilevel problems ... See more keywords
Necessary Optimality Conditions for Implicit Control Systems with Applications to Control of Differential Algebraic Equations
Sign Up to like & getrecommendations! Published in 2017 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0444-5
Abstract: In this paper we derive necessary optimality conditions for optimal control problems with nonlinear and nonsmooth implicit control systems. Implicit control systems have wide applications including differential algebraic equations (DAEs). The challenge in the study… read more here.
Keywords: optimality conditions; control systems; control; necessary optimality ... See more keywords