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    Wyświetlanie 1-8 z 8
    Tytuł:
    Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay
    Autorzy:
    Człapiński, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/255121.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    successive approximations
    Darboux problem
    infinite delay
    Opis:
    We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solution of the Darboux problem.
    Źródło:
    Opuscula Mathematica; 2014, 34, 2; 327-338
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order evolution differential functional equations with infinite delay
    Autorzy:
    Człapiński, Tomasz
    Karpowicz, Adrian
    Powiązania:
    https://bibliotekanauki.pl/articles/962858.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Measure of noncompactness
    second order evolution equation
    infinite delay
    Opis:
    We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.
    Źródło:
    Commentationes Mathematicae; 2018, 58, 1-2; 93-104
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and controllability of fractional-order impulsive stochastic system with infinite delay
    Autorzy:
    Guendouzi, Toufik
    Powiązania:
    https://bibliotekanauki.pl/articles/729324.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    existence result
    approximate controllability
    fractional stochastic differential equations
    resolvent operators
    infinite delay
    Opis:
    This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 65-87
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
    Autorzy:
    Ke, Tran
    Obukhovskii, Valeri
    Wong, Ngai-Ching
    Yao, Jen-Chih
    Powiązania:
    https://bibliotekanauki.pl/articles/729357.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Cauchy problem
    functional differential inclusion
    infinite delay
    higher order
    existence family
    phase space
    fixed point
    multivalued map
    measure of noncompactness
    condensing map
    Opis:
    The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 199-229
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Measure of noncompactness and neutral functional differential equations with state-dependent delay
    Autorzy:
    Benchohra, M.
    Henderson, J.
    Medjadj, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/357717.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    neutral functional differential equation
    mild solution
    infinite delay
    state-dependent delay
    fixed point
    semigroup theory
    cosine function
    measure of noncompactness
    równanie różniczkowe
    zagadnienie Cauchy'ego
    opóźnienia nieskończone
    punkt stały
    teoria półgrup
    funkcja cosinus
    miara niezwartości
    Opis:
    Our aim in this work is to study the existence of solutions of first and second order for neutral functional differential equations with state-dependent delay. We use the Mönch’s fixed point theorem for the existence of solutions and the concept of measures of noncompactness.
    Źródło:
    Journal of Mathematics and Applications; 2016, 39; 23-45
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Motion Planning, Equivalence, Infinite Dimensional Systems
    Autorzy:
    Rouchon, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908322.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    metoda elementów skończonych
    układ sterowania
    system opóźniania
    infinite dimensional control systems
    motion planning
    flatness
    absolute equivalence
    Pfaffian systems
    delay systems
    Gevrey functions
    Opis:
    Motion planning, i.e., steering a system from one state to another, is a basic question in automatic control. For a certain class of systems described by ordinary differential equations and called flat systems (Fliess et al., 1995; 1999a), motion planning admits simple and explicit solutions. This stems from an explicit description of the trajectories by an arbitrary time function y, the flat output, and a finite number of its time derivatives. Such explicit descriptions are related to old problems on Monge equations and equivalence investigated by Hilbert and Cartan. The study of several examples (the car with n-trailers and the non-holonomic snake, pendulums in series and the heavy chain, the heat equation and the Euler-Bernoulli flexible beam) indicates that the notion of flatness and its underlying explicit description can be extended to infinite-dimensional systems. As in the finite-dimensional case, this property yields simple motion planning algorithms via operators of compact support. For the non-holonomic snake, such operators involve non-linear delays. For the heavy chain, they are defined via distributed delays. For heat and Euler-Bernoulli systems, their supports are reduced to a point and their definition domain coincides with the set of Gevrey functions of order 2.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 165-188
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
    Autorzy:
    Li, J.
    Xia, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/930162.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system stochastyczny
    opóźnienie zależne
    liniowa nierówność macierzowa
    fuzzy large scale stochastic system
    delay-dependent
    generalized H2 control
    infinite distributed delays
    linear matrix inequality
    Opis:
    This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control problem for infinite variables hyperbolic systems with time lags
    Autorzy:
    Bahaa, G. M.
    Tharwat, M. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229952.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    optimal control
    hyperbolic system
    time delay
    distributed control problems
    Neumann conditions
    existence and uniqueness of solutions
    second order operator with an infinite number of variables
    Opis:
    In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.
    Źródło:
    Archives of Control Sciences; 2011, 21, 4; 373-393
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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