Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "nonsmooth optimization" wg kryterium: Wszystkie pola

  Lista filtrów
Wyrównaj
    Wyświetlanie 1-14 z 14
    Tytuł:
    Nonsmooth optimization control based on a sandwich model with hysteresis for piezo-positioning systems
    Autorzy:
    Yang, Sen
    Tan, Yonghong
    Dong, Ruili
    Tan, Qingyuan
    Powiązania:
    https://bibliotekanauki.pl/articles/24200686.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optimization control
    hysteresis
    piezoelectric actuator
    sandwich system
    histereza
    siłownik piezoelektryczny
    układ warstwowy
    Opis:
    A nonsmooth optimization control (NOC) based on a sandwich model with hysteresis is proposed to control a micropositioning system (MPS) with a piezoelectric actuator (PEA). In this control scheme, the hysteresis phenomenon inherent in the PEA is described by a Duhem submodel embedded between two linear dynamic submodels that describe the behavior of the drive amplifier and the flexible hinge with load, respectively, thus constituting a sandwich model with hysteresis. Based on this model, a nonsmooth predictor for sandwich systems with hysteresis is constructed. To avoid the complicated online search for the optimal value of the generalized gradient at a nonsmooth point, the method of the so-called weighted estimation of generalized gradient is proposed. In order to compensate for the model error caused by model uncertainty, a model error compensator (MEC) is integrated into the online optimization control strategy. Afterwards, the stability of the control system is analyzed based on Lyapunov’s theory. Finally, the proposed NOC-MEC method is verified on an MPS with a PEA, and the corresponding experimental results are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 3; 449--461
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quasidifferentiable Calculus and Minimal Pairs of Compact Convex Sets
    Autorzy:
    Pallaschke, Diethard
    Urbański, Ryszard
    Powiązania:
    https://bibliotekanauki.pl/articles/1373556.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
    Tematy:
    nonsmooth optimization
    generalized convexity
    Opis:
    The quasidifferential calculus developed by V.F. Demyanov and A.M. Rubinov provides a complete analogon to the classical calculus of differentiation for a wide class of nonsmooth functions. Although this looks at the first glance as a generalized subgradient calculus for pairs of subdifferentials it turns out that, after a more detailed analysis, the quasidifferential calculus is a kind of Fréchet-differentiation whose gradients are elements of a suitable Minkowski–Rådström–Hörmander space. One aim of the paper is to point out this fact. The main results in this direction are Theorem 1 and Theorem 5. Since the elements of the Minkowski–Rådström–Hörmander space are not uniquely determined, we focus our attention in the second part of the paper to smallest possible representations of quasidifferentials, i.e. to minimal representations. Here the main results are two necessary minimality criteria, which are stated in Theorem 9 and Theorem 11.
    Źródło:
    Schedae Informaticae; 2012, 21; 107-125
    0860-0295
    2083-8476
    Pojawia się w:
    Schedae Informaticae
    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:
    Structural optimization with a non-smooth buckling load criterion
    Autorzy:
    Folgado, J.
    Rodrigues, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/205875.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    homogenizacja
    optymalizacja
    wyboczenie
    buckling
    homogenization
    nonsmooth optimization
    structures
    Opis:
    This work addresses problems in optimal design of structures with a non-smooth buckling load criterion and in particular appliactions in layout design of plate reinforcements using a material based model and thickness beam optimization problems. Starting with the formulation of the linearized buckling problem, the optimization problem is formulated and the optimal necessary conditions are derived. Considering the possibility of non-differentiability of the objective function, the optimal necessary conditions are stated in terms of generalized gradients for non-smooth functions. The importance of the obtained result is analyzed and directional derivatives of the critical load factor obtained from the generalized gradient set definition, are compared with forward finite difference approximations. Optimization applications, to test the developments done, are presented. They are performed using a mathematical programming code, the Bundle Trust Method, which addresses the nonsmoothness of the problem.
    Źródło:
    Control and Cybernetics; 1998, 27, 2; 235-253
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Necessary optimality conditions for robust nonsmooth multiobjective optimization problems
    Autorzy:
    Gadhi, Nazih Abderrazzak
    Ohda, Mohamed
    Powiązania:
    https://bibliotekanauki.pl/articles/2183482.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    convexificator
    directional constraint qualification
    efficient solution
    optimality conditions
    robust multiobjective optimization
    Opis:
    This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.
    Źródło:
    Control and Cybernetics; 2022, 51, 3; 289--302
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Composite semi-infinite optimization
    Autorzy:
    Dentcheva, D.
    Ruszczyński, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/970266.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    semi-infinite optimization
    nonsmooth optimization
    composite optimization
    stochastic programming
    stochastic dominance
    Opis:
    We consider a semi-infinite optimization problem in Banach spaces, where both the objective functional and the constraint operator are compositions of convex nonsmooth mappings and differentiable mappings. We derive necessary optimality conditions for these problems. Finally, we apply these results to non-convex stochastic optimization problems with stochastic dominance constraints, generalizing earlier results.
    Źródło:
    Control and Cybernetics; 2007, 36, 3; 633-646
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
    Autorzy:
    Wachsmuth, D.
    Wachsmuth, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/206129.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    source condition
    discrepancy principle
    nonsmooth optimization
    convex constraints
    sparsity
    regularization error estimates
    Opis:
    In this article we study the regularization of optimization problems by Tikhonov regularization. The optimization problems are subject to pointwise inequality constraints in L²(Ω). We derive a-priori regularization error estimates if the regularization parameter as well as the noise level tend to zero. We rely on an assumption that is a combination of a source condition and of a structural assumption on the active sets. Moreover, we introduce a strategy to choose the regularization parameter in dependence of the noise level. We prove convergence of this parameter choice rule with optimal order.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 1125-1158
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The shooting approach in analyzing bang-bang extremals with simultaneous control switches
    Autorzy:
    Felgenhauer, U.
    Powiązania:
    https://bibliotekanauki.pl/articles/969603.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    bang-bang control
    Lipschitz stability in optimal control
    nonsmooth optimization
    shooting type methods
    Opis:
    The paper is devoted to stability investigation of optimal structure and switching points position for parametric bang-bang control problem with special focus on simultaneous switches of two control components. In contrast to problems where only simple switches occur, the switching points in general are no longer differentiable functions of input parameters. Conditions for Lipschitz stability are found which generalize known sufficient optimality conditions to nonsmooth situation. The analysis makes use of backward shooting representation of extremals, and of generalized implicit function theorems. The Lipschitz properties are illustrated for an example by constructing backward parameterized family of extremals and providing first-order switching points prediction.
    Źródło:
    Control and Cybernetics; 2008, 37, 2; 307-327
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Random perturbation of the variable metric method for unconstrained nonsmooth nonconvex optimization
    Autorzy:
    El Mouatasim, A.
    Ellaia, R.
    Souza de Cursi, J. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/908374.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja
    zaburzenie stochastyczne
    zaburzenie losowe
    nonconvex optimization
    stochastic perturbation
    variable metric method
    nonsmooth optimization
    generalized gradient
    Opis:
    We consider the global optimization of a nonsmooth (nondifferentiable) nonconvex real function. We introduce a variable metric descent method adapted to nonsmooth situations, which is modified by the incorporation of suitable random perturbations. Convergence to a global minimum is established and a simple method for the generation of suitable perturbations is introduced. An algorithm is proposed and numerical results are presented, showing that the method is computationally effective and stable.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 463-474
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local cone approximations in optimization
    Autorzy:
    Castellani, M.
    Pappalardo, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/970281.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    nonsmooth optimization
    cone approximations
    generalized directional epiderivatives
    optimality conditions
    constraint qualifications
    mean value theorem
    error bound
    Opis:
    We show how to use intensively local cone approximations to obtain results in some fields of optimization theory such as optimality conditions, constraint qualifications, mean value theorems and error bound.
    Źródło:
    Control and Cybernetics; 2007, 36, 3; 583-600
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Random perturbation of the projected variable metric method for nonsmooth nonconvex optimization problems with linear constraints
    Autorzy:
    El Mouatasim, A.
    Ellaia, R.
    Souza de Cursi, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907785.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja globalna
    ograniczenie liniowe
    zaburzenie stochastyczne
    global optimization
    linear constraints
    variable metric method
    stochastic perturbation
    nonsmooth optimization
    Opis:
    We present a random perturbation of the projected variable metric method for solving linearly constrained nonsmooth (i.e., nondifferentiable) nonconvex optimization problems, and we establish the convergence to a global minimum for a locally Lipschitz continuous objective function which may be nondifferentiable on a countable set of points. Numerical results show the effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 2; 317-329
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of constrained delay-differential inclusions with multivalued initial conditions
    Autorzy:
    Mordukhovich, B. S.
    Wang, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970519.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    aproksymacja dyskretna
    warunek konieczny optymalności
    analiza wariacyjna
    stabilność
    optymalizacja niegładka
    różniczkowanie uogólnione
    delay-differential inclusions
    discrete approximations
    necessary optimality conditions
    variational analysis
    stability
    nonsmooth optimization
    generalized differentiation
    Opis:
    This paper studies a general optimal control problem for nonconvex delay-differential inclusions with endpoint constraints. In contrast to previous publications on this topic, we incorporate time-dependent set constraints on the initial interval, which are specific for systems with delays and provide an additional source for optimization. Our variational analysis is based on well-posed discrete approximations of constrained delay-differential inclusions by a family of time-delayed systems with discrete dynamics and perturbed constraints. Using convergence results for discrete approximations and advanced tools of nonsmooth variational analysis, we derive necessary optimality conditions for constrained delay-differential inclusions in both Euler-Lagrange and Hamiltonian forms involving nonconvex generalized differential constructions for nonsmooth functions, sets, and set-valued mappings.
    Źródło:
    Control and Cybernetics; 2003, 32, 3; 585-609
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Unilateral Contact Applications Using Fem Software
    Autorzy:
    Stavroulaki, M. E.
    Stavroulakis, G. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907898.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    nonsmooth analysis
    constrained optimization
    contact problem
    Opis:
    Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 115-125
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weak sharp minima in multiobjective optimization
    Autorzy:
    Studniarski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/970933.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    weak psi-sharp Pareto minima
    nonsmooth functions
    multiobjective optimization
    Opis:
    We extend some necessary and sufficient conditions for strict local Pareto minima of order m obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
    Źródło:
    Control and Cybernetics; 2007, 36, 4; 925-937
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

      Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies