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Regularized auxiliary problem principle for variational inequalities
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Baasansuren, J., Khan, A.A.
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A Study on the Convergency Property of the Auxiliary Problem Principle [PDF]
This paper presents the convergency property of the Auxiliary Problem Principle when it is applied to large-scale Optimal Power Flow problems with Distributed or Parallel computation features. The key features and factors affecting the convergence ratio and solution stability of APP are also analyzed.
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The Stochastic Auxiliary Problem Principle in Banach Spaces: Measurability and Convergence
The stochastic Auxiliary Problem Principle (APP) algorithm is a general Stochastic Approximation (SA) scheme that turns the resolution of an original optimization problem into the iterative resolution of a sequence of auxiliary problems. This framework has been introduced to design decomposition-coordination schemes but also encompasses many well-known
Bittar, Thomas +3 more
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In this paper, we consider the multiplicity of solutions for a discrete boundary value problem involving the singular ϕ-Laplacian. In order to apply the critical point theory, we extend the domain of the singular operator to the whole real numbers ...
Zihua Qiu
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This article is concerned with the study of the unique solvability of a time-nonlocal inverse boundary value problem for second-order hyperbolic equation with an integral overdetermination condition.
Yashar Mehraliyev, Elvin Azizbayov
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Grey Box Modeling of Gas Temperature for a High-Speed and High-Temperature Heat-Airflow Test System
Aiming at a problem that it is difficult for accurately obtaining the mathematical model of a gas temperature for a high-speed, high-temperature heat-airflow test system, a grey box modeling method combining first principle of modeling, recursive least ...
Yingfang Xue, Chaozhi Cai, Hui Xu
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Auxiliary problem principles for equilibria
The auxiliary problem principle allows solving a given equilibrium problem (EP) through an equivalent auxiliary problem with better properties. The paper investigates two families of auxiliary EPs: the classical auxiliary problems, in which a regularizing term is added to the equilibrium bifunction, and the regularized Minty EPs.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
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Feedback Minimum Principle for Impulsive Processes [PDF]
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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<p>This paper considers the investment coordination problem for the long term transmission capacity expansion in a situation where there are multiple regional Transmission Planners (TPs), each acting in order to maximize the utility in only its own region. In such a setting, any particular TP does not normally have any incentive to cooperate with
Chakrabarti, Sambuddha +5 more
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An Extension of the Invariance Principle for Switched Affine System
In this paper, an approach to investigate switched affine system via matrix inequalities is presented. Particularly, an extension of LaSalle’s invariance principle for this class of systems under arbitrary dwell-time switching signal is presented.
Thiago S. Pinto +2 more
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