Necessary Conditions for Optimality
Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations
... [10] X. Xiang, W. Wei, and Y. Jiang, “Strongly nonlinear impulsive system and necessary conditions of optimality,” Dynamics of Continuous, Discrete & Impulsive Systems A, vol. 12, no. 6, pp. 811– ...
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On the Role of the Necessary Conditions of Optimality in Structuring Dynamic Real-Time Optimization Schemes
... In dynamic optimization problems, the optimal input profiles are typically obtained using models that predict the system behavior. In practice, however, process models are often inaccurate, and on-line model adaptation is ...
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization
... The main aim of the current paper is to extend Theorem 1.1 and the stationarity concepts of Definition 1.2 to the case where the functions involved in (P ) are nons- mooth. To proceed, we use notions from variational ...
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Necessary Optimality Conditions For Problem With Integral Boundary And Distributed Conditions
... distributed conditions are considered. Starting from the necessary conditions for optimality represented by a Hamiltonian system, we solve the Hamilton-Jacobi equation for a generating ...
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Optimality necessary conditions in singular stochastic control problems with nonsmooth data
... Our aim in this paper is to extend the stochastic maximum principle in singular optimal control, to the case where the coefficients b, σ , f and g are Lipschitz continuous in the state var[r] ...
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Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games
... the necessary conditions for Pareto optimality are same as the necessary conditions for optimality of a weighted sum optimal control ...transversaility conditions is a ...
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On enforcing the necessary conditions of optimality under plant-model mismatch - What to measure and what to adapt?
... The simulation study of the fuel-cell system is used to test different MA-based methods, where the goal is to maximize the efficiency of the system while satisfying lifetime critical process constraints. When only ...
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APPROXIMATE OPTIMALITY CONDITIONS
... establish necessary and sufficient optimality conditions if ...these conditions is not satisfied the problem may not have exact solutions, but if the objective is bounded from below, the infinimum ...
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First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints
... order necessary optimality condition (Pontryagin- type maximum principle) and subsequent extensions [19, 37, 42] and so ...the necessary conditions for optimal controls of infinite dimensional ...
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Kuhn Tucker Optimality Conditions for Vector Equilibrium Problems
... give necessary conditions and sufficient conditions for Henig efficient solutions and globally efficient solutions to the vector equilibrium problems with ...
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ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS
... [email protected] Abstract: We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital ...
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On the theory of necessary optimality conditions in discrete systems
... Keywords: optimality conditions; discrete systems; maximum principle 1 Introduction A problem of optimal control of discrete systems arises in planning economics, optimiza- tion of complex technological ...
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Necessary Optimality Conditions for a Class of Nonsmooth Vector Optimization Problems
... Abstract. A class of nonsmooth vector optimization problems are considered, where the feasible set defined by cone constraint and the objective and constraint functions are locally Lipschitz. The concept of the Clarke's ...
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Necessary Optimality Conditions for Multi Objective Semi Infinite Variational Problem
... paper, necessary optimality conditions for a class of Semi-infinite Variational Problems are established which are further generalized to a class of Multi-objective Semi-Infinite Variational ...These ...
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Necessary and sufficient optimality conditions for vector equilibrium problems on Hadamard manifolds
... It is known that a convex environment has good properties for the search of optimal points. In Ferreira [ 13 ], the author gives necessary and sufficient conditions for convex functions on Hadamard ...
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Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints
... Copyright © 2014 S. Zhu and S. Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...
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Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions
... This section is devoted to establishing necessary optimality conditions of the lower subd- ifferential type for semi-infinite and infinite programs (1.1) with generally [r] ...
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Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions
... the necessary optimality conditions derived in sections 3 and ...the optimality conditions obtained in the extended KKT form under the Farkas–Minkowski property ...these ...
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Necessary and sufficient optimality conditions for scheduling unit time jobs on identical parallel machines
... the necessary and sufficient optimality conditions, they might be beneficial for solving other problems as ...the optimality conditions may involve the development of new algorithms for ...
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Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory
... Second-order necessary and sufficient optimality conditions are established, where the cone of critical directions is arbitrarily close to the form which is expected from the optimization in finite ...
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