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optimality conditions

The Goh necessary optimality conditions for the Mayer problem with control constraints

The Goh necessary optimality conditions for the Mayer problem with control constraints

... necessary optimality conditions for an arbitrary set U and any integrable optimal control at times when it be- longs to the interior of U ...necessary optimality conditions for the Mayer ...

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New Insights on the Optimality Conditions of the l2-l0 Minimization Problem

New Insights on the Optimality Conditions of the l2-l0 Minimization Problem

... Keywords ` 0 -regularized least-squares · CEL0 · Exact relaxation · Minimizers · Optimality conditions 1 Introduction Sparse models are widely used in machine learning, statistics, and signal/image ...

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Optimality conditions and comparative static properties of non-linear income taxes revisited

Optimality conditions and comparative static properties of non-linear income taxes revisited

... Abstract Optimality conditions and comparative static properties of the optimal Mirrleesian non- linear income tax are obtained for a nite population and quasilinear-in-consumption pref- ...

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Interior penalty approximation for optimal control problems. Optimality conditions in stochastic optimal control theory.

Interior penalty approximation for optimal control problems. Optimality conditions in stochastic optimal control theory.

... 1.6 Conclusions Interior point methods for control constrained optimal control problems have been shown to be very ecient from the practical point of view (see the refer- ences given at the introduction), specially ...

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Interval Tests and Contractors Based on Optimality Conditions for Bound-Constrained Global Optimization

Interval Tests and Contractors Based on Optimality Conditions for Bound-Constrained Global Optimization

... Received (Day Month Year) Revised (Day Month Year) Accepted (Day Month Year) We study the problem of finding the global optimum of a nonlinear real function over an interval box by means of complete search techniques, ...

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How to state necessary optimality conditions for control problems with deviating arguments?

How to state necessary optimality conditions for control problems with deviating arguments?

... classical one. Reading [5], [7] and [1], it is easy to see that necessary optimality conditions for (2) cannot be obtained in an easy way as the classical case. Let us denote by (x, η, ξ) the respectives ...

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New Insights on the Optimality Conditions of the l2-l0 Minimization Problem

New Insights on the Optimality Conditions of the l2-l0 Minimization Problem

... Necessary Optimality Conditions Because Problem (1) is NP-hard, not only one cannot expect, in general, to attain an optimal point, but ver- ifying the optimality of a point ˆ x is also, in general, ...

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Distance estimates to feasible controls for systems with final point constraints and second order necessary optimality conditions

Distance estimates to feasible controls for systems with final point constraints and second order necessary optimality conditions

... second-order optimality conditions for strong local minima in the absence of the constraint ...these conditions we used a second-order linearization of ...

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Prospects on the application of necessary optimality conditions on the resolution of the Goddard problem with unknown bounded parameters using interval arithmetics

Prospects on the application of necessary optimality conditions on the resolution of the Goddard problem with unknown bounded parameters using interval arithmetics

... Our goal is to address the return version of the Goddard problem, which consists in performing the landing of the first stage of a rocket while minimizing its fuel consump- tion, combining interval arithmetics and the ...

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On constraint qualifications with generalized convexity and optimality conditions

On constraint qualifications with generalized convexity and optimality conditions

... of optimality conditions and ...sufficient conditions ensuring constraints of Lipschitzian mathematical programs to be invex with respect to the same ...sufficient conditions for the invexity ...

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Value Functions and Optimality Conditions for Nonconvex Variational Problems with an Infinite Horizon in Banach Spaces

Value Functions and Optimality Conditions for Nonconvex Variational Problems with an Infinite Horizon in Banach Spaces

... Necessary Conditions for Optimality It should be underlined that unlike the real-valued case, locally absolutely con- tinuous functions with values in Banach spaces fail to be strongly differentiable almost ...

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No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control

No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control

... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des V[r] ...

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Optimality Conditions for Piecewise-Convex Maximization Problems

Optimality Conditions for Piecewise-Convex Maximization Problems

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ...

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Second Order Necessary and Sufficient Optimality Conditions under Abstract Constraints

Second Order Necessary and Sufficient Optimality Conditions under Abstract Constraints

... Unité de recherche INRIA Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LÈS NANCY Unité de recherche INRIA Rennes, Irisa, [r] ...

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Optimality Conditions and Synthesis for the Minimum Time Problem

Optimality Conditions and Synthesis for the Minimum Time Problem

... ; f ( x; U ) are closed and convex, (1.4) then T is lower semicontinuous. In this paper we focus our attention on necessary and sucient optimal- ity conditions. In particular, we are interested in extending to ...

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Optimality conditions for the minimal time problem for Complementarity Systems

Optimality conditions for the minimal time problem for Complementarity Systems

... order conditions were given in Guo and Ye (2016) for systems with complemen- tarity constraints, but they do not tackle this problem, since therein, the final time T ∗ is fixed ...order conditions for ...

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Optimality and non-preemptive real-time scheduling revisited

Optimality and non-preemptive real-time scheduling revisited

... feasibility conditions established with preemptive EDF for concrete periodic task sets could be reformulated with any non-preemptive, non-idling optimal scheduling ...

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Ranking Multi-Class Data: Optimality and Pairwise Aggregation

Ranking Multi-Class Data: Optimality and Pairwise Aggregation

... way optimality is defined here, the approach to K-partite ranking developed in this article lies in viewing it as a "superposition" of bipartite ranking tasks, following in the footsteps of the idea ...

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Optimality, stochasticity, and variability in motor behavior.

Optimality, stochasticity, and variability in motor behavior.

... Abstract Recent theories of motor control have proposed that the nervous system acts as a stochastically optimal controller, i.e. it plans and executes motor behaviors taking into account the nature and statistics of ...

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Optimism leads to optimality: Ambiguity in network formation *

Optimism leads to optimality: Ambiguity in network formation *

... Definition 4.2 (Aligned preferences). The players exhibit aligned preferences if every MBE network is monotonic. Under aligned preferences, MBE networks are not only optimal for a benefit- maximizing society, but also ...

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