Das Umkugelproblem und lineare semiinfinite Optimierung
Distributed optimization via active disturbance rejection control: A nabla fractional design
This paper studies distributed optimization problems of a class of agents with fractional order dynamics and unknown external disturbances. Motivated by the celebrated active disturbance rejection control (ADRC) method, a fractional order extended state observer (Frac-ESO) is first constructed, and an ADRC-based PI-like protocol is then proposed for the target distributed optimization problem. It is rigorously shown that the decision variables of the agents reach a domain of the optimal solution...
Dual dynamic approach to shape optimization
Dual extremum principles for a homogeneous Dirichlet problem for a parabolic equation.
Dual response systems optimization. An approximation approach.
Dualidad de Haar y problemas de momentos.
En la primera parte de este trabajo damos una versión simplificada de la conocida relación entre la dualidad en Programación Semi-Infinita y cierta clase de problemas de momentos, basándonos en las propiedades de los sistemas de Farkas-Minkowski. Planteamos a continuación otra clase de problemas de momentos para cuyo análisis resulta de utilidad una generalización del Lema de Farkas.
Dualities associated to binary operations on .
Duality and optimality conditions in abstract concave maximization
Duality for a fractional variational formulation using -approximated method
The present article explores the way -approximated method is applied to substantiate duality results for the fractional variational problems under invexity. -approximated dual pair is engineered and a careful study of the original dual pair has been done to establish the duality results for original problems. Moreover, an appropriate example is constructed based on which we can validate the established dual statements. The paper includes several recent results as special cases.
Duality for optimal control-approximation problems with gauges.
Duality for the level sum of quasiconvex functions and applications
Duality for the level sum of quasiconvex functions and applications
We study a quasiconvex conjugation that transforms the level sum of functions into the pointwise sum of their conjugates and derive new duality results for the minimization of the max of two quasiconvex functions. Following Barron and al., we show that the level sum provides quasiconvex viscosity solutions for Hamilton-Jacobi equations in which the initial condition is a general continuous quasiconvex function which is not necessarily Lipschitz or bounded.
Duality in Constrained DC-Optimization via Toland’s Duality Approach
2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In this paper we reconsider a nonconvex duality theory established by B. Lemaire and M. Volle (see [4]), related to a primal problem of minimizing the difference of two convex functions subject to a DC-constraint. The purpose of this note is to present a new method based on Toland-Singer duality principle. Applications to the case when the constraints are vector-valued are provided.
Duality in the optimal control for damped hyperbolic systems with positive control.
Duality in the optimal control of hyperbolic equations with positive controls.
Duality in vector optimization. I. Abstract duality scheme
Duality in vector optimization. II. Vector quasiconcave programming
Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming
Duality models for some nonclassical problems in the calculus of variations.
Duality results involving functions associated to nonempty subsets of locally convex spaces.