A Set-Valued Lagrange Theorem based on a Process for Convex Vector Programming [PDF]
, 2019 In this paper, we present a new set-valued Lagrange multiplier theorem for constrained convex set-valued optimization problems. We introduce the novel concept of Lagrange process.
García-Castaño, Fernando +1 more
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Partial Differential Inclusions Governing Feedback Controls [PDF]
, 1990 The authors derive partial differential inclusions of hyperbolic type, the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. They show that the tracking property, another important control problem,
Aubin, J.-P., Frankowska, H.
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Higher-Order optimality conditions for set-valued optimization [PDF]
, 2008 2007-2008 > Academic research: refereed > Publication in refereed ...
A. Aghezzaf +20 more
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Isaacs' Equations for Value-Functions of Differential Games [PDF]
, 1992 The authors study value functions of a differential game with payoff which depends on the state at a given end time. They consider differential games with feedback strategies and with nonanticipating strategies.
Frankowska, H., Quincampoix, M.
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Qualitative Differential Games: A Viability Approach [PDF]
, 1988 The author defines the playability property of a qualitative differential game, defined by a system of differential equations controlled by two controls. The rules of the game are defined by constraints on the states of each player depending on the state
Aubin, J.-P.
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Vector optimization problems with variable ordering structures [PDF]
, 2015 In dieser Arbeit werden Konzepte zur approximativen Lösung von Vektoroptimierungsproblemen mit variablen Ordnungsstrukturen eingeführt und deren Eigenschaften untersucht.
Soleimani, Behnam
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Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems [PDF]
, 1996 We characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of epicontingent and viscosity supersolutions to a Partial Differential Equation called the Hamilton-Jacobi ...
Frankowska, H., Quincampoix, M.
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Generalized Stampacchia Vector Variational-Like Inequalities and Vector Optimization Problems Involving Set-Valued Maps [PDF]
, 2014 We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness.
Guotao Wang, Sanyang Liu, Yanfei Chai
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The role of directional compactness in the existence and computation of contingent epiderivatives
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
First order optimality conditions in set-valued optimization [PDF]
A a set-valued optimization problem minC F(x), x 2 X0, is considered, where X0 X, X and Y are Banach spaces, F : X0 Y is a set-valued function and C Y is a closed cone.
Crespi Giovanni P. +2 more
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