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Tytuł:
Generalized α-V-univex functions for multiobjective variational control problems
Autorzy:
Sharma, S.
Choudhury, S.
Jayswal, A.
Powiązania:
https://bibliotekanauki.pl/articles/206848.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
control problem
α-V-univexity
efficiency
sufficiency
duality
Opis:
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.
Źródło:
Control and Cybernetics; 2014, 43, 3; 403-420
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of optimal solutions in control problems for hyperbolic equations
Autorzy:
Migórski, S.
Powiązania:
https://bibliotekanauki.pl/articles/1311423.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
control problem
hyperbolic equation
G-convergence
Γ-convergence
Opis:
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.
Źródło:
Annales Polonici Mathematici; 1995, 62, 2; 111-121
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure
Autorzy:
Dmitruk, Andrei
Samylovskiy, Ivan
Powiązania:
https://bibliotekanauki.pl/articles/729308.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
optimal control problem
Pontryagin Maximum Principle
extremals
singular arcs
Opis:
We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle we obtain the form of optimal control and establish conditions under which it contains a singular subarc. This problem seems to be the simplest one having a mechanical sense in which singular subarcs appear in a nontrivial way.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 135-147
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on variational discretization of elliptic Neumann boundary control
Autorzy:
Hinze, M.
Matthes, U.
Powiązania:
https://bibliotekanauki.pl/articles/969695.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
elliptic optimal control problem
error estimates
Neumann boundary control
variational discretization
Opis:
We consider variational discretization of Neumann-type elliptic optimal control problems with constraints on the control. In this approach the cost functional is approximated by a sequence of functionals, which are obtained by discretizing the state equation with the help of linear finite elements. The control variable is not discretized. Error bounds for control and state are obtained both in two and three space dimensions. Finally, we discuss some implementation issues of a generalized Newton method applied to the numerical solution of the problem class under consideration.
Źródło:
Control and Cybernetics; 2009, 38, 3; 577-591
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The lq-controller synthesis problem for infinite-dimensional systems in factor form
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/254801.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems
semigroups
infinite-time lq-control problem
Opis:
The general lq-problem with infinite time horizon for well-posed infinite-dimensional systems has been investigated by George Weiss and Martin Weiss and by Olof Staffans with a complement by Kalle Mikkola and Olof Staffans. Our aim in this paper is to present a solution of a general lq-optimal controller synthesis problem for infinite-dimensional systems in factor form. The systems in factor form are an alternative to additive models, used in the theory of well-posed systems, which rely on leading the analysis exclusively within the basic state space. As a result of applying the simplified analysis in terms of the factor systems and an another derivation technique, we obtain an equivalent, however, astonishingly not the same formulae expressing the optimal controller in the time-domain and the method of spectral factorization. The results are illustrated by two examples of the construction of both the optimal control and optimal controller for some standard lq-problems met in literature: a control problem for a class of boundary controlled hyperbolic equations initiated by Chapelon and Xu, to which we give full solution and an example of the synthesis of the optimal control/controller for the standard lq-problem with infinite-time horizon met in the problem of improving a river water quality by artificial aeration, proposed by Zołopa and the author.
Źródło:
Opuscula Mathematica; 2013, 33, 1; 29-79
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous dependence of solutions of elliptic BVPs on parameters
Autorzy:
Orpel, A.
Powiązania:
https://bibliotekanauki.pl/articles/255812.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
continuous dependence on parameters
elliptic Dirichlet problems
optimal control problem
Opis:
The continuous dependence of solutions for a certain class of elliptic PDE on functional parameters is studied in this paper. The main result is as follow: the sequence {k}k∈N of solutions of the Dirichlet problem discussed here (corresponding to parameters {uk}k∈N) converges weakly to x0 (corresponding to u0) in W1,q 0 (Ω, R), provided that {uk}k∈N tends to u0 a.e. in Ω. Our investigation covers both sub and superlinear cases. We apply this result to some optimal control problems.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 351-359
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a finding the coefficient of one nonlinear wave equation in the mixed problem
Autorzy:
Safarova, Zimrud R.
Powiązania:
https://bibliotekanauki.pl/articles/229359.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
hyperbolic equation
nonlinear wave equation
optimal control problem
necessary condition
Opis:
The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved.
Źródło:
Archives of Control Sciences; 2020, 30, 2; 199-212
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of matrix parameters in elliptic PDEs
Autorzy:
Deckelnick, K.
Hinze, M.
Powiązania:
https://bibliotekanauki.pl/articles/206153.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
parameter identification
elliptic optimal control problem
control constraints
H-convergence
variational discretization
Opis:
In the present work we treat the inverse problem of identifying the matrix-valued diffusion coefficient of an elliptic PDE from multiple interior measurements with the help of techniques from PDE constrained optimization. We prove existence of solutions using the concept of H-convergence and employ variational discretization for the discrete approximation of solutions. Using a discrete version of H-convergence we are able to establish the strong convergence of the discrete solutions. Finally we present some numerical results.
Źródło:
Control and Cybernetics; 2011, 40, 4; 957-969
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of poli-criterial linearization for control problem of stochastic dynamic systems
Zastosowanie wielokryterialnej linearyzacji w problemie sterowania stochastycznych nieliniowych układów dynamicznych
Autorzy:
Socha, L.
Powiązania:
https://bibliotekanauki.pl/articles/279864.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Stochastic control of nonlinear systems
LQG control problem
stochastic linearization
Pareto optimal solution
Opis:
The problem of the determination of response characteristics and quasi-optimal control for nonlinear stochastic dynamic systems by using a multi-criteria linearization technique is presented in this paper. This idea was first introduced in previous author's paper (Socha, 1999a) for a simple dynamic system. In this paper, it is extended, and detailed analysis is given for a nonlinear oscillator with Gaussian external excitations and for a few criteria of statistical linearization. The obtained results are illustrated by a numerical example for Duffing's oscillator.
W pracy przedstawiono problem wyznaczania quasi-optymalnego sterowania w nieliniowych stochastycznych układach dynamicznych za pomocą wielokryterialnej metody linearyzacji stochastycznej. Pomysł wielokryterialnej linearyzacji został zasygnalizowany we wcześniejszej pracy autora (Socha, 1999a). W niniejszym artykule jest on rozwinięty i zastosowany do problemu sterowania, a szczegółowa analiza jest przeprowadzona dla nieliniowego oscylatora z addytywnym wymuszeniem Gaussa.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 3; 675-693
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control for a class of mechanical thermoviscoelastic frictional contact problems
Autorzy:
Denkowski, Z.
Migórski, S.
Ochal, A.
Powiązania:
https://bibliotekanauki.pl/articles/970268.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
control problem
hemivariational inequality
thermoviscoelasticity
friction
nonconvexity
nonmonotonnicity
semi-continuity
multifunction
Opis:
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.
Źródło:
Control and Cybernetics; 2007, 36, 3; 611-632
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems
Autorzy:
Merino, Pedro
Neitzel, Ira
Tröltzsch, Fredi
Powiązania:
https://bibliotekanauki.pl/articles/729230.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
elliptic optimal control problem
state constraints
error estimates
finite element discretization
Opis:
In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 221-236
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals
Autorzy:
Treanţă, Savin
Mititelu, Ştefan
Powiązania:
https://bibliotekanauki.pl/articles/1845506.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
multiobjective fractional control problem
geodesic efficient solution
(ρ, b)-geodesic quasiinvexity
Opis:
In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of (normal) geodesic efficient solution, under (ρ, b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 687-706
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals
Autorzy:
Treanţă, Savin
Mititelu, Ştefan
Powiązania:
https://bibliotekanauki.pl/articles/1845520.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
multiobjective fractional control problem
geodesic efficient solution
(ρ, b)-geodesic quasiinvexity
Opis:
In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of (normal) geodesic efficient solution, under (ρ, b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 687-706
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
SAT-based searching for k-quasi-optimal runs in weighted timed automata
Autorzy:
Woźna-Szcześniak, B.
Zbrzezny, A.
Powiązania:
https://bibliotekanauki.pl/articles/121744.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
SAT
timed automata
air traffic control problem
reachability problem
automat czasowy
problem kontroli ruchu lotniczego
problem osiągalności
Opis:
In the paper we are concerned with an optimal cost reachability problem for weighted timed automata, and we use a translation to SAT to solve the problem. In particular, we show how to find a run of length k ∈ IN that starts at the initial state and terminates at a state containing a target location, its total cost belongs to the interval [c,c+1), for some natural number c ∈ IN, and the cost of each other run of length k, which also leads from the initial state to a state containing the target location, is greater or equal to c. This kind of runs is called k-quasi-optimal. We exemplify the use of our solution to the mentioned problem by means of the air traffic control problem, and we provide some preliminary experimental results.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2010, 15; 163-176
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and uniqueness of the solution to the optimal control problem with integral criterion over the entire domain for a nonlinear Schrödinger equation with a special gradient term
Autorzy:
Salmanov, Vuqar
Powiązania:
https://bibliotekanauki.pl/articles/2050054.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Schrödinger equation
optimal control problem
first variation of the functional
complex potential
Opis:
The paper concerns the optimal control problem with the full-range integral performance criterion for the nonlinear Schrödinger equation with the specific gradient summand and the complex potential when the performance criterion is the full-range integral. In this paper, the existence and uniqueness theorems regarding the solution of the optimal control problem under consideration are proven.
Źródło:
Control and Cybernetics; 2020, 49, 3; 277-290
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Impact of roguing and insecticide spraying on mosaic disease in Jatropha curcas
Autorzy:
Al-Basir, F.
Roy, P. K.
Ray, S.
Powiązania:
https://bibliotekanauki.pl/articles/205846.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Jatropha curcas
mosaic disease
roguing
spraying
Hopf bifurcation
optimal control problem (OCP)
Opis:
Jatropha curcas plant is greatly impaired by mosaic disease, caused by the viruses (Begomovirus), transmitted by whiteflies, which act as the vector. Roguing (i.e. removal of infected plant) and spraying of insecticides are common methods, employed in order to get rid of the disease. In this article, a mathematical model has been developed to study the mosaic disease dynamics while considering preventive measures of roguing and insecticide spraying. Sufficient conditions for the stability of equilibrium points of the system are among the results obtained through qualitative analysis. We obtain the basic reproduction number R0 and show that the disease free system is stable for R0 < 1 and unstable for R0 > 1. The region of stability of equilibrium points in different parameter spaces have also been analysed. Hopf bifurcation at the endemic steady state has been studied subsequently, as well. Finally, by formulating an optimal control problem, optimal application of roguing and spraying techniques has been determined, keeping in mind the cost effective control of the mosaic disease. Pontryagin minimum principle has been utilized to solve the optimal control problem. Numerical simulations illustrate the validity of the analytical outcomes.
Źródło:
Control and Cybernetics; 2017, 46, 4; 325-344
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of a fractional-order enzyme kinetic model
Autorzy:
Al-Basir, F.
Elaiw, A. M.
Kesh, D.
Roy, P. K.
Powiązania:
https://bibliotekanauki.pl/articles/206336.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
enzyme kinetics
cooperative phenomenon
fractional derivative
mathematical modeling
Hamiltonian
optimal control problem
Opis:
Enzymes play a significant role in controlling the characteristics of various chemical and biochemical reactions. They act as catalysts that increase the rate of reaction without undergoing any change in quantity. Enzymatic reactions occur through the active sites, which combine with the substrates to form intermediate complexes, subsequently leading to products. An enzyme having two active sites can show cooperative phenomena. Against this background, an enzyme-kinetic mathematical model is formulated using fractional order derivatives. Optimal control mechanism has been incorporated into the fractional-order model system to maximize the product output. Euler-Lagrange optimality conditions are derived for the FOCP (fractional order control problem) using maximum principle. Numerical iterative schemes have been developed to solve the fractional order optimal control problem through Matlab.
Źródło:
Control and Cybernetics; 2015, 44, 4; 443-461
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On optimal control problem subject to fractional order discrete time singular systems
Autorzy:
Chiranjeevi, Tirumalasetty
Biswas, Raj Kumar
Devarapalli, Ramesh
Babu, Naladi Ram
García Márquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2083465.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional optimal control problem
discrete time singular system
fractional derivative
Hamiltonian technique
Opis:
In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
Źródło:
Archives of Control Sciences; 2021, 31, 4; 849-863
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The LQ/KYP problem for infinite-dimensional systems
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/255449.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems
semigroups
infinite-time LQ-control problem
Lur’e feedback systems
Opis:
Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators. The results are then applied, via the reciprocal system approach, to the question of solvability of some Lur'e resolving equations arising in the stability theory of infinite-dimensional systems in factor form with unbounded control and observation operators. To be more precise the Lur’e resolving equations determine a Lyapunov functional candidate for some closed-loop feedback systems on the base of some properties of an uncontrolled (open-loop) system. Our results are illustrated in details by an example of a temperature of a rod stabilization automatic control system.
Źródło:
Opuscula Mathematica; 2017, 37, 1; 21-64
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Small-gain theorem for a class of abstract parabolic systems
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/255288.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems semigroups
infinite-time LQ-control problem
Lur'e feedback systems
Opis:
We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup. An observation and control action are allowed to be described by unbounded operators. It is assumed that the observation operator is admissible but the control operator may be not. Such a system is controlled in a feedback loop by a controller with static characteristic being a globally Lipschitz map from the space of outputs into the space of controls. Our main interest is to obtain a perturbation theorem of the small-gain-type which guarantees that null equilibrium of the closed-loop system will be globally asymptotically stable in Lyapunov's sense.
Źródło:
Opuscula Mathematica; 2018, 38, 5; 651-680
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape sensitivity of optimal control for the Stokes problem
Autorzy:
Abdelbari, Merwan
Nachi, Khadra
Sokolowski, Jan
Szulc, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/2049935.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Stokes equations
optimal control problem
coupled partial differential equations
shape optimization
shape gradient
Opis:
In this article, we study the shape sensitivity of optimal control for the steady Stokes problem. The main goal is to obtain a robust representation for the derivatives of optimal solution with respect to smooth deformation of the flow domain. We introduce in this paper a rigorous proof of existence of the material derivative in the sense of Piola, as well as the shape derivative for the solution of the optimality system. We apply these results to derive the formulae for the shape gradient of the cost functional; under some regularity conditions the shape gradient is given according to the structure theorem by a function supported on the moving boundary, then the numerical methods for shape optimization can be applied in order to solve the associated optimization problems.
Źródło:
Control and Cybernetics; 2020, 49, 1; 11-40
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Obstacle control problem and the unilateral eigenvalue problem of an elastic pseudoplate
Autorzy:
Lovisek, J.
Powiązania:
https://bibliotekanauki.pl/articles/206242.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pseudopłyta sprężysta
drgania
dane wejściowe niepewne
elastic pseudoplate
obstacle control problem
control of variational inequalities
vibrations
state eigenvalue problem
uncertain input data
Opis:
This paper concerns an obstacle control problem of an elastic pseudoplate. The state problem is modelled by a semi-coercive variational inequality, where the control variable enters the coefficients of linear operator and a linear functional. Moreover, we consider the state eigenvalue problem for a minimal first eigenvalue associated with the vibration of pseudoplate. Existence of an optimal control is verified. Finally, approximate solutions with some convergence analysis are provided.
Źródło:
Control and Cybernetics; 2003, 32, 2; 259-300
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:
Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:
This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optymalne reguły wydatkowe w prowadzeniu polityki fiskalnej
The importance of expenditure rules in the conduct of fiscal policy
Autorzy:
Przybylska-Mazur, Agnieszka
Powiązania:
https://bibliotekanauki.pl/articles/591905.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Polityka fiskalna
Problem sterowania optymalnego
Reguły sprzężenia zwrotnego
Reguły wydatkowe
Expenditure rules
Feedback rules
Fiscal policy
Optimal control problem
Opis:
Polityka fiskalna obejmuje decyzje rządu na temat wielkości i struktury wydatków publicznych oraz deficytu budżetowego. Jednym ze sposobów podejmowania decyzji są decyzje oparte na regułach. Reguły fiskalne są skutecznym narzędziem ograniczającym generowanie nadmiernego długu publicznego i nadmiernego deficytu budżetowego. Przy prowadzeniu polityki fiskalnej opartej na regułach fiskalnych zostaje wzmocniona ostrożność polityki fiskalnej i obiektywność w realizacji polityki budżetowej. Dlatego istotne praktyczne znaczenie ma znajomość reguły fiskalnej, dzięki której możliwe staje się podejmowanie optymalnych decyzji fiskalnych w różnych fazach cyklu koniunkturalnego. W pracy przedstawiono reguły wydatkowe jako reguły sprzężenia zwrotnego, których zastosowanie pozwala gospodarce rozwijać się zgodnie z pożądanymi ścieżkami. Ponadto pozwalają one na korektę podejmowanych decyzji dotyczących wydatków budżetowych po każdym kwartale. W artykule reguły wydatkowe zostały wyznaczone jako rozwiązanie problemu sterowania optymalnego.
Fiscal policy includes government decisions on the size and structure of public expenditure and the budget deficit. One of the ways of making decisions are decisions based on rules. The fiscal rules are an effective tool for limiting of the generation of excessive public debt and excessive budget deficits. Conducting fiscal policy based on rules is strengthened the fiscal prudence and the objectivity in the realization of fiscal policy. Therefore, significant practical importance has the knowledge of a fiscal rule by which it is possible the optimal fiscal decisions-making in different phases of the business cycle. In this paper we present the expenditure rules as the feedback rule. The application of this rules allows the economy to grow in accordance with the desired paths. In addition, they allow to correction of decisions concerning budgetary spending after each quarter. In this article we present the expenditure rules as a solution of the optimal control problem.
Źródło:
Studia Ekonomiczne; 2017, 331; 123-133
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization problems for structural acoustic models with thermoelasticity and smart materials
Autorzy:
Lasiecka, Irena
Powiązania:
https://bibliotekanauki.pl/articles/729240.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
structural acoustic model with thermal effects
optimal control problem
smart controls
nonstandard Riccati equations
analyticity of semigroups
Opis:
Optimization problem for a structural acoustic model with controls governed by unbounded operators on the state space is considered. This type of controls arises naturally in the context of "smart material technology". The main result of the paper provides an optimal synthesis and solvability of associated nonstandard Riccati equations. It is shown that in spite of the unboundedness of control operators, the resulting gain operators (feedbacks) are bounded on the state space. This allows to provide full solvability of the associated Riccati equations. The proof of the main result is based on exploiting propagation of analyticity from the structural component of the model into an acoustic medium.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 1; 113-140
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 88

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