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[PDF] Top 20 On the theory of necessary optimality conditions in discrete systems

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On the theory of necessary optimality conditions in discrete systems

On the theory of necessary optimality conditions in discrete systems

... that optimality () contains as a particular case the optimality conditions (), (), ...The optimality conditions (), (), () following the sets U[x  (t)](t), t ∈ T , are ... See full document

15

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices

... in systems such as ...dynamical systems theory ...in discrete systems, see, for example, the proof of the existence of travelling waves in the discrete and nonintegrable FPU ... See full document

18

Necessary Optimality Conditions for Multi Objective Semi Infinite Variational Problem

Necessary Optimality Conditions for Multi Objective Semi Infinite Variational Problem

... developed necessary optimality conditions for a Semi-Infinite Variational ...These optimality conditions are further extended to Multi-objective Semi-infinite Variational Problem (MSVP) ... See full document

8

Necessary and Sufficient Optimality Conditions
for Optimization Problems in Function Spaces and Applications to
Control Theory

Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory

... order necessary optimality conditions? The answer is ...order conditions very useful to carry out the numerical analysis of the control problems, but we should ask ourselves if they are ... See full document

13

Duality models for some nonclassical problems in the calculus of
variations

Duality models for some nonclassical problems in the calculus of variations

... nonparametric necessary and sufficient optimality conditions are established for a class of nonconvex variational problems with generalized frac- tional objective functions and nonlinear inequality ... See full document

38

Optimality conditions for strict minimizers of higher order in semi infinite multi objective optimization

Optimality conditions for strict minimizers of higher order in semi infinite multi objective optimization

... the theory of multi-objective optimization is to define and characterize its ...established necessary and sufficient optimal- ity conditions for strict efficiency of higher-order in multi-objective ... See full document

13

A Survey on the Stability of 2 D Discrete Systems Described by Fornasini Marchesini Second Model

A Survey on the Stability of 2 D Discrete Systems Described by Fornasini Marchesini Second Model

... 2-D discrete systems based on matrix pencil approach. The necessary and sufficient conditions for the stability 2-D system have been formulated as a problem of solv- ing the generalized ... See full document

6

APPROXIMATE OPTIMALITY CONDITIONS

APPROXIMATE OPTIMALITY CONDITIONS

... the theory of maximal monotone operators, so successful for partial differential equations and integral equations ...establish necessary and sufficient optimality conditions if ...these ... See full document

6

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

Necessary Conditions of Optimality for Second Order Nonlinear Impulsive Differential Equations

... the systems governed by the second-order nonlinear impulsive differential ...semigroup theory to establish the existence of optimal controls for a class of second-order nonlinear differential equations in ... See full document

17

Interval-valued vector optimization problems involving generalized approximate convexity

Interval-valued vector optimization problems involving generalized approximate convexity

... establish necessary and sufficient optimality conditions for local strong quasi and approximate LU-efficient solutions to nonsmooth optimization problems with interval-valued multiobjective ... See full document

13

Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables

Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables

... the necessary and sufficient conditions of optimality of distributed control fo r (n  n) cooperative systems governed by Dirichlet and Neumann problems involving hyperbolic operators with an ... See full document

11

Necessary Optimality Conditions For Problem With Integral Boundary And Distributed Conditions

Necessary Optimality Conditions For Problem With Integral Boundary And Distributed Conditions

... mechanics systems can better be described by integral boundary ...distributed conditions are considered. Starting from the necessary conditions for optimality represented by a ... See full document

5

Fractional Herglotz variational principles with generalized Caputo derivatives

Fractional Herglotz variational principles with generalized Caputo derivatives

... the necessary definitions and results from the generalized fractional variational ...3 necessary optimality conditions of Euler–Lagrange type (Theorem ...transversality conditions ... See full document

12

On minimax programming problems involving right upper Dini derivative functions

On minimax programming problems involving right upper Dini derivative functions

... This paper is structured as follows: Some preliminary concepts and properties regarding generalized convex functions are given in Section . In Section , we establish necessary and sufficient optimality ... See full document

15

OPTIMIZATION OF HIGH VOLTAGE POWER SUPPLY FOR INDUSTRIAL MICROWAVE GENERATORS 
FOR ONE MAGNETRON

OPTIMIZATION OF HIGH VOLTAGE POWER SUPPLY FOR INDUSTRIAL MICROWAVE GENERATORS FOR ONE MAGNETRON

... In this paper, we have defined a new generalized convex function, extending many well-known classes of generalized convex functions. By utilizing the new convexity, we have achieved some necessary ... See full document

8

Systems with inheritance: dynamics of distributions with conservation of support, natural selection and  finite-dimensional asymptotics

Systems with inheritance: dynamics of distributions with conservation of support, natural selection and finite-dimensional asymptotics

... the theory of approximations of a special kind, demonstrating, in particular, interesting mechanisms of discreteness in the course of evolution of distributions with ini- tially smooth ...(selection theory ... See full document

25

Exact calculus for proximal subgradients with
applications to optimization

Exact calculus for proximal subgradients with applications to optimization

... dimensions, the proximal subdifferential is a functional counterpart of proximal normals to closed sets originally considered by Clarke; see the book [4] for a Hilbert space version of proximal analysis with references ... See full document

16

SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

... 5. Conclusion: In this paper the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related functions. We have discussed the interrelation between the ... See full document

7

Prederivatives of gamma paraconvex set valued maps and Pareto optimality conditions for set optimization problems

Prederivatives of gamma paraconvex set valued maps and Pareto optimality conditions for set optimization problems

... Remark . In [], Gaydu, Geoffroy and Marcelin established necessary condition and sufficient conditions for the weak minimizers and the strong minimizers of the optimiza- tion problem (SP). It is well known ... See full document

11

Optimality for set valued optimization in the sense of vector and set criteria

Optimality for set valued optimization in the sense of vector and set criteria

... the optimality conditions are estab- lished for problem (P) in both the vector criterion and set criterion by using Studniarski ...sufficient optimality conditions are given in the sense of the ... See full document

11

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