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    Wyświetlanie 1-9 z 9
    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:
    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:
    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:
    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:
    Optimal boundary control problems of retarded parabolic systems
    Autorzy:
    Kowalewski, A.
    Krakowiak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/229191.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    boundary control
    parabolic systems
    time delays
    linear quadratic problem
    quadratic programming method
    Opis:
    Optimal boundary control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.
    Źródło:
    Archives of Control Sciences; 2013, 23, 3; 261-279
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On adhesive binding optimization of elastic homogeneous rod to a fixed rigid base as a control problem by coefficient
    Autorzy:
    Jilavyan, S. H.
    Khurshudyan, A. Zh.
    Sarkisyan, A. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/229296.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    topology optimization
    optimal design
    control by coefficient
    nonlinear moments problem
    adhesive binding
    Opis:
    The problem of finite, partially glued to a fixed rigid base rod longitudinal vibrations damping by optimizing adhesive structural topology is investigated. Vibrations of the rod are caused by external load, concentrated on free end of the rod, the other end of which is elastically clamped. The problem is mathematically formulated as a boundary-value problem for onedimensional wave equation with attenuation and variable controlled coefficient. The intensity of adhesion distribution function is taken as optimality criterion to be minimized. Structure of adhesion layer, optimal in that sense, is obtained as a piecewise-constant function. Using Fourier real generalized integral transform, the problem of unknown function determination is reduced to determination of certain switching points from a system of nonlinear, in general, complex equations. Some particular cases are considered.
    Źródło:
    Archives of Control Sciences; 2013, 23, 4; 413-425
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A boundary value problem for a non-linear difference equation
    Autorzy:
    Lefebvre, Mario
    Powiązania:
    https://bibliotekanauki.pl/articles/27324014.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    higher-order difference equations
    optimal control
    dynamic programming
    first-passage time
    homing problem
    Opis:
    A boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem. We thus obtain an expression for the solution of the non-linear difference equation that can be used to find an explicit solution to this equation. An example is presented.
    Źródło:
    Archives of Control Sciences; 2023, 33, 4; 829--837
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topology optimization for elastic base under rectangular plate subjected to moving load
    Autorzy:
    Jilavyan, S. H.
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/230086.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    distributed system
    moving load
    Kirchhoff plate
    Winkler base
    topology optimization
    problem of moments
    L∞-optimal control
    distributions
    Bubnov–Galerkin procedure
    Opis:
    Distribution optimization of elastic material under elastic isotropic rectangular thin plate subjected to concentrated moving load is investigated in the present paper. The aim of optimization is to damp its vibrations in finite (fixed) time. Accepting Kirchhoff hypothesis with respect to the plate and Winkler hypothesis with respect to the base, the mathematical model of the problem is constructed as two–dimensional bilinear equation, i.e. linear in state and control function. The maximal quantity of the base material is taken as optimality criterion to be minimized. The Fourier distributional transform and the Bubnov–Galerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of two–dimensional Heaviside‘s function is obtained, describing piecewise–continuous distribution of the material. The determination of the switching points is reduced to a problem of nonlinear programming. Data from numerical analysis are presented.
    Źródło:
    Archives of Control Sciences; 2015, 25, 3; 289-305
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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