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    Wyświetlanie 1-13 z 13
    Tytuł:
    Periodicity of the Population Size of an Age-Dependent Model With a Dominant Age Class by Means of Impulsive Perturbations
    Autorzy:
    Covachev, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/929760.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dynamika populacji
    równanie nieliniowe
    population dynamics
    age-dependent model
    periodic solutions
    nonlinear delay equations
    Opis:
    For an age-dependent model with a dominant age class an w-periodic regime of the population size is sought by means of impulsive perturbations. For both noncritical and critical cases of first order the problem is reduced to operator systems solvable by a convergent simple iteration method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 147-155
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of nominally stable uncertain singularly perturbed systems with multiple time delays
    Autorzy:
    Chen, C.
    Pan, S.
    Hsieh, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/206124.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    stabilność asymptotyczna
    asymptotic stability
    delay-dependent criterion
    singularly perturbed system
    Opis:
    In this paper, the robust asymptotic stability problem for a class of nominally stable uncertain singularly perturbed systems with multiple non-commensurate time delays is considered. A delay-dependent criterion is first proposed in this paper to guarantee robust asymptotic stability of the system under consideration. Based on this result, the range of allowable bounds of the perturbation matrices preserving the closed-loop stability can easily be found. Moreower, a simple criterion is also proposed to guarantee asymptotic, stability of the nominal system. Furthermore, a simple estimation of the stability bound epsilon* is proposed such that the nominal system is asymptotically stable for epsilon [belongs to](0,epsilon*). It can be seen that the stability bound proposed in this paper is less conservative than that presented in recent research. Finally, a numerical example is provided to illustrate our main results.
    Źródło:
    Control and Cybernetics; 2002, 31, 1; 5-16
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability criteria for large-scale time-delay systems; the LMI approach and the Genetic Algorithms
    Autorzy:
    Chen, J.- D.
    Powiązania:
    https://bibliotekanauki.pl/articles/969948.pdf
    Data publikacji:
    2006
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    algorytm genetyczny
    delay-dependent criterion
    large-scale systems
    linear matrix inequality
    genetic algorithms
    Opis:
    This paper addresses the asymptotic stability analysis problem for a class of linear large-scale systems with time delay in the state of each subsystem as well as in the interconnections. Based on the Lyapunov stability theory, a delay-dependent criterion for stability analysis of the systems is derived in terms of a linear matrix inequality (LMI). Finally, a numerical example is given to demonstrate the validity of the proposed result.
    Źródło:
    Control and Cybernetics; 2006, 35, 2; 291-301
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust H∞ control for a class of uncertain neutral systems with both state and control input time-varying delays via a unified LMI optimization approach
    Autorzy:
    Chen, J. D.
    Yang, C. D.
    Lin, K. J.
    Lien, C. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/970609.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    robust H[infinity] control
    neutral systems
    unified LMI approach
    convex optimization approach
    delay-dependent criterion
    Opis:
    The robust H∞ control problem is considered for a class of uncertain neutral system involving both state and control input time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations. The methodology is based on the Lyapunov functional combined with a unified LMI approach, and a new delay-dependent criterion is proposed to guarantee the stabilization and disturbance attenuation of systems. Moreover, a convex optimization approach is used to solve the robust H∞ control disturbance attenuation problem. Finally, a numerical example is illustrated to show the validity of this paper. The simulation results reveal significant improvement over the recent results.
    Źródło:
    Control and Cybernetics; 2008, 37, 3; 517-530
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    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:
    LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
    Autorzy:
    Balasubramaniam, P.
    Lakshmanan, S.
    Rakkiyappan, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/331417.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    opóźnienie zależne
    liniowa nierówność macierzowa
    system stochastyczny
    stabilność odporna
    delay-dependent stability
    linear matrix inequality
    Lyapunov-Krasovskii functional
    stochastic systems
    Opis:
    This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delay-dependent dissipative control for stochastic singular systems with state delay
    Autorzy:
    Ding, C.
    Li, Q.
    Powiązania:
    https://bibliotekanauki.pl/articles/229379.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    stochastic singular system
    dissipative control
    delay-dependent
    state delay
    linear matrix inequalities (LMIs)
    Opis:
    The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
    Źródło:
    Archives of Control Sciences; 2013, 23, 3; 281-293
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
    Autorzy:
    Benchohra, Mouffak
    Bennihi, Omar
    Ezzinbi, Khalil
    Powiązania:
    https://bibliotekanauki.pl/articles/746657.pdf
    Data publikacji:
    2013
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
    Opis:
    In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with \(\alpha\)-resolvent family is the main tool in our analysis.
    Źródło:
    Commentationes Mathematicae; 2013, 53, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
    Autorzy:
    Arjunan, M. M.
    Nadaf, N. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/255760.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    damped second order differential equations
    impulsive differential equations
    controllability
    state-dependent delay
    cosine function
    mild solution
    fixed point
    Opis:
    In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.
    Źródło:
    Opuscula Mathematica; 2014, 34, 3; 503-522
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fractional integro-differential inclusions with state-dependent delay
    Autorzy:
    Aissani, Khalida
    Benchohra, Mouffak
    Ezzinbi, Khalil
    Powiązania:
    https://bibliotekanauki.pl/articles/729499.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    fractional integro-differential inclusions
    Caputo fractional derivative
    mild solution
    multivalued map
    Bohnenblust-Karlin's fixed point
    state-dependent delay
    Opis:
    In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 153-167
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An inventory model for generalized Weibull deteriorating items with price dependent demand and permissible delay in payments under inflation
    Model zarządzania zapasem Weibulla dla popytu zależnego od cen oraz opóźnień w płatności w warunkach inflacji
    Autorzy:
    Singh, S. P.
    Panda, G. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/362263.pdf
    Data publikacji:
    2015
    Wydawca:
    Wyższa Szkoła Logistyki
    Tematy:
    inventory
    inflation
    Weibull distribution
    selling price dependent demand
    delay in payment
    zapasy
    inflacja
    dystrybucja Weibulla
    popyt zależny od ceny zbytu
    opóźnienie w płatności
    Opis:
    This paper derives an inventory model is developed for items that deteriorates at a generalized Weibull distributed rate when demand for the items is dependent on the selling price. Shortages are not allowed and price inflation is taken into consideration over finite planning horizon. A brief analysis of the cost involved is carried out by theoretical analysis.
    Praca przedstawia opracowanie modelu zarządzania zapasem dla towarów, które ulegają zużyciu zgodnie z modelem Weibulla, i których popyt zależny jest od ceny sprzedaży. Braki nie są dozwolone. Czynnik inflacji został uwzględniony dla określonego horyzontu czasowego. Została przeprowadzona krótka teoretyczna analiza kosztów.
    Źródło:
    LogForum; 2015, 11, 3; 259-266
    1734-459X
    Pojawia się w:
    LogForum
    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:
    Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect
    Autorzy:
    Tiwari, R.
    Saeed, A. M.
    Kumar, R.
    Kumar, A.
    Singhal, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/38694222.pdf
    Data publikacji:
    2022
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    memory dependent derivative
    time-delay
    kernel function
    non-local
    continuum theory
    dual phase lags
    Opis:
    Theory of non-local continuum is contemporary appraised and is found to be supplementary coherent to capture the impacts of each and every point of the material at its single point. The conviction of memory dependent derivative is also newly appraised and is observed to be more intuitionistic for predicting the realistic character of the real-world obstacles. Attractiveness of the belief of a memory dependent derivative lies in its unique properties such as its significant constituents – a kernel function and time-delay are freely selected according to the requirement of a problem. The present study comprises a new meticulous thermoelastic heat conduction model for the homogeneous, isotropic, thermoelastic half space medium concerning memory effects and non-local effects. Governing equations are constructed on the basis of the newly appraised non-local generalized theory of thermoelasticity with two phase lags in the frame of a memory dependent derivative. Exact analytical solutions of the physical fields such as dimensionless temperature, displacement as well as thermal stress are evaluated by using a suitable technique of the Laplace transform. Quantitative results are determined in a time-domain for different values of time by taking the numerical inversion of the Laplace transform. Noteworthy role of the constituents of the memory dependent derivative such as kernel function as well as time-delay factor has been scrutinized on the crucial field variables of the medium through computational outcomes. Moreover, the impact of non-local parameter is examined on the variations of field quantities through the quantitative results.
    Źródło:
    Archives of Mechanics; 2022, 74, 2-3; 69-88
    0373-2029
    Pojawia się w:
    Archives of Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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