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Convergence of optimal solutions in control problems for hyperbolic equations

100%

Migórski S.

Annales Polonici Mathematici

1995

tom 62

nr 2

111-121

A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are given.

Generalized α-V-univex functions for multiobjective variational control problems

88%

Sharma S. , Choudhury S. , Jayswal A.

2014

tom Vol. 43, no. 3

403--420

The purpose of this paper is to introduce a new class of _-V-univex/ generalized _-V-univex functions for a class of multiobjective variational control problems. Moreover, sufficient optimality conditions and Mond-Weir type duality results, associated with the multiobjective variational control problem, are established under aforesaid assumptions.

Earned value Analyse in der praktischen Anwendung

75%

Steck-Winter H.

Intercathedra

2008

tom 24

Optimal control for a class of mechanical thermoviscoelastic frictional contact problems

63%

Denkowski Z. , Migórski S. , Ochal A.

Control and Cybernetics

2007

tom Vol. 36, no 3

611-632

We study optimal control of systems governed by a coupled system of hemivariational inequalities, modeling a dynamic thermoviscoelastic problem, which describes frictional contact between a body and a foundation. We employ the Kelvin-Voigt vis-coelastic law, include the thermal effects and consider the general nonmonotone and multivalued subdifferential boundary conditions. We consider optimal control problem for boundary and distributed parameter control systems, time optimal control problem and maximum stay control problem. We deliver conditions that guarantee the existence of optimal solutions.

On the multiobjective control problem

63%

Kumar P. , Sharma B.

tom Vol. 24, nr 2

223--231

In this paper, sufficient optimality conditions are established for the multiobjective control problem using efficiency of higher order as a criterion for optimality. The ρ-type 1 invex functionals (taken in pair) of higher order are proposed for the continuous case. Existence of such functionals is confirmed by a numer of examples. It is shown with the help of an example that this class is more general than the existing class of functionals.Weak and strong duality theorems are also derived for a mixed dual in order to relate efficient solutions of higher order for primal and dual problems.

A human quality control system in furniture manufacturing – a pilot study

63%

Smietanska K. , Podziewski P.

Annals of Warsaw University of Life Sciences - SGGW. Forestry and Wood Technology

2019

tom 108

Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities

51%

Denkowski Z. , Migórski S.

Control and Cybernetics

2004

tom Vol. 33, no 2

211-236

In this paper the sensitivity of optimal solutions to control problems for the systems described by stationary and evolution heinivariational inequalities (HVIs) under perturbations of state relations and of cost functionals is investigated. First, basing on the theory of sequential [Gamma]-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for HVIs (state relations) and some complementary [Gamma]-convergence of the cost functionals. Then these two properties are implemented in each considered case.

A method of lower and upper solutions for control problems and application to a model of bone marrow transplantation

51%

Parajdi L. G. , Precup R. , Haplea I. Ş.

International Journal of Applied Mathematics and Computer Science

2023

tom Vol. 33, no. 3

409--418

A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka-Volterra model with seasonal harvesting and applied to a control problem of cell evolution after bone marrow transplantation.