Results 21 to 30 of about 30,552 (227)

Necessary optimality conditions for two-step descriptor systems

open access: yesAIMS Mathematics, 2022
This paper is concerned with an optimal control problem for general two-step descriptor systems. Based on the nonsmooth analysis and variational techniques, we establish the first-order necessary optimality conditions.
Xin Wang, Yuxiang Liu, Lisha Wang
doaj   +1 more source

Semidefinite Multiobjective Mathematical Programming Problems with Vanishing Constraints Using Convexificators

open access: yesFractal and Fractional, 2021
In this paper, we establish Fritz John stationary conditions for nonsmooth, nonlinear, semidefinite, multiobjective programs with vanishing constraints in terms of convexificator and introduce generalized Cottle type and generalized Guignard type ...
Kin Keung Lai   +4 more
doaj   +1 more source

Bolza type problems in infinite dimensional discrete time [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper we study a discrete time version of deterministic models in optimization in infinite dimensional. The functionals are assumed to be merely lower semi continuous.
Rahma Sahraoui
doaj   +1 more source

Constrained Nonsmooth Problems of the Calculus of Variations

open access: yes, 2021
The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
core   +1 more source

Stability and Periodic Motions for a System Coupled with an Encapsulated Nonsmooth Dynamic Vibration Absorber

open access: yesApplied Sciences, 2023
The dynamic vibration absorber (DVA) is widely used in engineering models with complex vibration modes. The research on the stability and periodic motions of the DVA model plays an important role in revealing its complex vibration modes and energy ...
Ziyu Guo   +3 more
doaj   +1 more source

Duality for nonsmooth mathematical programming problems with equilibrium constraints

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous.
Sy-Ming Guu   +2 more
doaj   +1 more source

KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]

open access: yes, 2014
For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Dempe, Stephan, Zemkoho, Alain B.
core   +1 more source

Investigation of the Effect of Dimple Bionic Nonsmooth Surface on Tire Antihydroplaning

open access: yesApplied Bionics and Biomechanics, 2015
Inspired by the idea that bionic nonsmooth surfaces (BNSS) reduce fluid adhesion and resistance, the effect of dimple bionic nonsmooth structure arranged in tire circumferential grooves surface on antihydroplaning performance was investigated by using ...
Haichao Zhou   +4 more
doaj   +1 more source

Decentralized Primal-Dual Proximal Operator Algorithm for Constrained Nonsmooth Composite Optimization Problems over Networks

open access: yesEntropy, 2022
In this paper, we focus on the nonsmooth composite optimization problems over networks, which consist of a smooth term and a nonsmooth term. Both equality constraints and box constraints for the decision variables are also considered.
Liping Feng   +5 more
doaj   +1 more source

Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]

open access: yes, 2009
This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
Alazard, Daniel   +3 more
core   +1 more source

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