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Wyświetlanie 1-15 z 46
Tytuł:
Higher order efficiency and duality for multiobjective variational problem
Autorzy:
Kumar, P.
Sharma, B.
Powiązania:
https://bibliotekanauki.pl/articles/206150.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
higher order duality
variational problem
efficiency of higher order
Opis:
In this paper, multiobjective variational programming problem is considered. Mond-Weir type higher order duality results are established by using the efficiency of higher order as the optimization tool. In order to prove these results, we propose the notion of generalized higher order (F,ρ,θ,m,h)−invexity.
Źródło:
Control and Cybernetics; 2017, 46, 2; 137-145
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
PLC implementation of fractional PI controller in positioning of electrohydraulic servodrive
Autorzy:
Rybarczyk, D.
Powiązania:
https://bibliotekanauki.pl/articles/206664.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fractional order controller
electrohydraulic drive
electrohydraulic servovalve
fractional order calculus
Opis:
The article describes the implementation of fractional order PI controller with the Programmable Logic Controller (PLC). The control system proposed is used for positioning of an electrohydraulic drive with Bosch Rexroth servo valve. The controller is based on PLC, working under real time operating system Automation Runtime. User interface is equipped with the touch panel of Power Panel 500 type. In the first part of the paper the fractional order calculus theory is introduced. In addition, some examples of fractional controller implementations in different kinds of objects are presented. The subsequent section focuses on author’s own research. The Oustaloup’s method description is recalled along with its computer implementation. Further, the impact of finite order of the approximation function is verified. The article includes the description of test stand structure, code generation and implementation of PI controller on the dedicated PLC.
Źródło:
Control and Cybernetics; 2016, 45, 3; 301-316
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second-order optimality conditions in nonsmooth vector optimization
Autorzy:
Yadav, Priyanka
Powiązania:
https://bibliotekanauki.pl/articles/31342762.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
vector optimization
cones
nonsmooth second-order cone-convexity
second-order optimality
duality
Opis:
In this paper, we introduce new classes of nonsmooth second-order cone-convex functions and respective generalizations in terms of first and second-order directional derivative. These classes encapsulate several already existing classes of cone-convex functions and their weaker variants. Second-order KKT type sufficient optimality conditions and duality results for a nonsmooth vector optimization problem are proved using these functions. The results have been supported by examples.
Źródło:
Control and Cybernetics; 2023, 52, 1; 35-51
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order convexity and a modified objective function method in mathematical programming
Autorzy:
Antczak, T.
Powiązania:
https://bibliotekanauki.pl/articles/969778.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
programowanie matematyczne
mathematical programming
second order modified objective function optimization problem
second order convex function
second order optimality conditions
Opis:
An approach to nonlinear constrained mathematical programming problems which makes use of a second order derivative is presented. By using a second order modified objective function method, a modified optimization problem associated with a primal mathematical programming problem is constructed. This auxiliary optimization problem involves a second order approximation of an objective function constituting the primal mathematical programming problem. The equivalence between the original mathematical programming problem and its associated modified optimization problem is established under second order convexity assumption. Several practical O.R. applications show that our method is efficient. Further, an iterative algorithm based on this approach for solving the considered nonlinear mathematical programming problem is given for the case when the functions constituting the problem are second order convex. The convergence theorems for the presented algorithm are established.
Źródło:
Control and Cybernetics; 2007, 36, 1; 161-182
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
(F, ρ)-invexity of higher order for multiobjective fractional variational problem
Autorzy:
Kumar, P.
Sharma, B.
Powiązania:
https://bibliotekanauki.pl/articles/206168.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiobjective
fractional
variational problem
efficiency of higher order
invexity
optimality
higher order duality
Opis:
Multiobjective fractional variational problem is considered and sufficient optimality conditions, characterizing efficiency of higher order, are obtained under the assumptions of (F,ρ)−invexity of higher order on the functionals involved. Parametric higher order dual of the above stated problem is proposed. Duality theorems are proved to relate efficient solutions of higher order for primal and its dual problem using generalized class of functionals.
Źródło:
Control and Cybernetics; 2018, 47, 2; 131-146
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The use of fractional order operators in modelling of RC electrical systems
Autorzy:
Ambroziak, L.
Lewoń, D.
Pawluszewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/970062.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fractional order operators
ultracapacitor
identification
Opis:
The present study concerns the analysis of using the integro-differential fractional operators in the process of modelling of electrical systems. As the object of study, the RC circuit with the ultracapacitor was used. A mathematical model of the super capacitor has been introduced, based on the integro-differential fractional order operator. Throughout the modelling it was assumed that the ultracapacitor was ideal. The main goal of the work was to carry out the experimental tests. Static and dynamic characteristics of the RC circuit with the ultracapacitor were determined with a prepared laboratory test rig. The obtained experimental results were compared with simulation tests of the ultracapacitor dynamics. The analysis, modelling and the obtained results allowed for the assessment of applicability of the fractional order operators in modelling of electrical systems. The proposed fractional order model yielded more precise description of dynamic properties of the system.
Źródło:
Control and Cybernetics; 2016, 45, 3; 275-288
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second-order necessary conditions of the Kuhn-Tucker type in multiobjective programming problems
Autorzy:
Aghezzaf, B.
Powiązania:
https://bibliotekanauki.pl/articles/970055.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
programowanie obiektowe
efficient solutions
multiobjective programming
second-order constraint qualification
second-order necessary conditions
Opis:
In this paper, we are concerned with a multiobjective programming problem with inequality constraints. We develop second-order necessary condition of the Kuhn-Tucker type for effciency and prove that the condition holds under a. constraint qualification. Moreover, we give some conditions which ensure that the constraint qua,lifica.tion holds.
Źródło:
Control and Cybernetics; 1999, 28, 2; 213-224
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A second-order sufficient condition for a weak local minimum in an optimal control problem with an inequality control constraint
Autorzy:
Osmolovskii, Nikolai P.
Powiązania:
https://bibliotekanauki.pl/articles/2183496.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
critical cone
quadratic form
first order tangent
second order tangent
second order optimality conditions
weak local minimum
inequality control constraint
Pontryagin’s maximum principle
Opis:
This paper is devoted to a sufficient second-order condition for a weak local minimum in a simple optimal control problem with one control constraint G(u) ≤ 0, given by a C2-function. A similar second-order condition was obtained earlier by the author for a strong minimum in a much more general problem. In the present paper, we would like to take a narrower perspective than before and thus provide shorter and simpler proofs. In addition, the paper uses the first and second order tangents to the set U, defined by the inequality G(u) ≤ 0. The main difficulty of the proof, clearly shown in the paper, refers to the set, where the gradient Hu of the Hamiltonian is small, but the condition of quadratic growth of the Hamiltonian is satisfied. The paper can be valuable for self-explanation and provides a basis for extensions.
Źródło:
Control and Cybernetics; 2022, 51, 2; 151--169
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wellposedness and long time behavior for a general class of Moore-Gibson-Thompson equations
Autorzy:
Nicaise, Serge
Bounadja, Hizia
Powiązania:
https://bibliotekanauki.pl/articles/2050052.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
third order system
wave equation
stabilization
Opis:
We consider the well-posedness and the long time behavior of third order in time linear evolution equations, general and abstract version of the Moore-Gibson-Thompson system. We find sufficient but strong conditions that guarantee the exponential decay of the system and present some illustrative examples. Then, by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish weaker conditions that guarantee exponential, polynomial or even logarithmic decay of the solution of the Moore-Gibson-Thompson system in a bounded domain of Rn, n ≥ 1.
Źródło:
Control and Cybernetics; 2020, 49, 3; 245-276
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of Luenberger reduced order observer
Autorzy:
Kiritsis, Konstadinos H.
Powiązania:
https://bibliotekanauki.pl/articles/31343936.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Luenberger reduced order observer
necessary and sufficient conditions
Opis:
In this paper the explicit necessary and sufficient conditions for the existence of Luenberger reduced order observer are established. In particular, it is proven that for the given linear time-invariant system of order n, having p linearly independent out- puts and m inputs, a Luenberger observer of order (n − p) can be constructed if and only if the given system is detectable. Further- more, a procedure is given for the construction of the observer. Our approach is based on the properties of real and polynomial matrices.
Źródło:
Control and Cybernetics; 2023, 52, 2; 181-198
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Higher-order conditions for local equilibria in a discontinuous Gale economic model
Autorzy:
Michalak, A.
Studniarski, M.
Powiązania:
https://bibliotekanauki.pl/articles/205957.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Gale model
equilibrium
higher-order conditions
generalized directional derivatives
Opis:
The paper introduces the concept of a strict local equilibrium of order k in the Gale economic model. We obtain higher-order necessary and sufficient conditions for such equilibria without assuming continuity of the utility functions. These conditions are formulated in terms of generalized lower and upper directional derivatives, introduced by Studniarski (1986). A stability theorem for strict local equilibria of order k is also included.
Źródło:
Control and Cybernetics; 2017, 46, 1; 37-47
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multi-criteria approach to comparison of inspection allocation for multi-product manufacturing systems in make-to-order sector
Autorzy:
Korytkowski, P.
Wiśniewski, T.
Zaikin, O.
Powiązania:
https://bibliotekanauki.pl/articles/971015.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
production line
queuing network
quality control
make-to-order
Opis:
This paper studies multi-product production manufacturing systems with in-line quality control. Quality control is carried at inspection stations located within a production line. Quality control has an impact on performance of the system: throughput decreases and resource utilization increases. Production lines are modeled as a multi-product Open Jackson Network, where stochastic character of routing is a result of quality control operations. Quality inspection can result in feedback to a work station of the manufacturing system. The approach developed allows for comparing different inspection allocations using three principal indices: overall cost, lead-time and equipment utilization.
Źródło:
Control and Cybernetics; 2010, 39, 1; 97-116
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Revisiting the analysis of optimal control problems with several state constraints
Autorzy:
Bonnans, J. F.
Hermant, A.
Powiązania:
https://bibliotekanauki.pl/articles/970908.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
state constraints
shooting algorithm
second order optimality conditions
Opis:
This paper improves the results of and gives shorter proofs for the analysis of state constrained optimal control problems than presented by the authors in Bonnans and Hermant (2009b), concerning second order optimality conditions and the well-posedness of the shooting algorithm. The hypothesis for the second order necessary conditions is weaker, and the main results are obtained without reduction to the normal form used in that reference, and without analysis of high order regularity results for the control. In addition, we provide some numerical illustration. The essential tool is the use of the "alternative optimality system".
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1021-1052
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tests for relation type - equivalence or tolerance - in a finite set of elements
Autorzy:
Klukowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/969955.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pairwise comparisons
tests for relation type
nearest adjoining order method
Opis:
The statistical procedure for determination of the type of relation - equivalence or tolerance - in a finite set of elements, estimated on the basis of pairwise comparisons with random errors, is presented. The procedure consists of two tests based on Chebyshev's inequality for variance of a random variable; the test statistic is a mixture of some random variables. An example of application of the procedure - determination of relation type in the set of functions expressing profitability of treasury securities sold at auctions in Poland - is presented, too.
Źródło:
Control and Cybernetics; 2006, 35, 2; 369-384
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of the preference relation on the basis of multiple pairwise comparisons in the form of differences of ranks
Autorzy:
Klukowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/970613.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple pairwise comparisons
nearest adjoining order method
difference of ranks
Opis:
The problem of estimation of the preference relation in a finite set on the basis of pairwise comparisons, in the form of differences of ranks with random errors, with the use of nearest adjoining order idea (NAO), is investigated in the paper. The results presented are extension and correction of the earlier works of the author; especially the case of multiple independent comparisons of each pair is examined. The comparisons of each pair are aggregated through the average or the median of comparisons. The estimated form of the relation is obtained in both cases on the basis of discrete programming tasks. The properties of the estimators are obtained under weak assumptions about distributions of comparison errors, in particular, the distributions may be unknown.
Źródło:
Control and Cybernetics; 2008, 37, 3; 711-729
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 46

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