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Wyświetlanie 1-15 z 120
Tytuł:
Methods of general stability calculation for flood embankment body and foundation
Autorzy:
Asani, A.
Powiązania:
https://bibliotekanauki.pl/articles/396611.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stateczność nasypu
obliczanie stateczności
wał przeciwpowodziowy
embankment stability
calculation of stability
Opis:
The paper presents the methods of general stability calculations for the body and foundation of the flood embankment and their applicability.
Źródło:
Civil and Environmental Engineering Reports; 2009, 3; 5-14
2080-5187
2450-8594
Pojawia się w:
Civil and Environmental Engineering Reports
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Measuring and Maintaining Consistency: a Hybrid Ftf Algorithm
Autorzy:
Bunch, J. R.
Le Borne, R. C.
Proudler, I. K.
Powiązania:
https://bibliotekanauki.pl/articles/908062.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
algorytmy
matematyka
FTF
numerical stability
consistency
Opis:
Due to the versatility as well as its ease of implementation, the Fast Transversal Filters algorithm is attractive for many adaptive filtering applications. However, it is not widely used because of its undesirable tendency to diverge when operating in finite precision arithmetic. To compensate, modifications to the algorithm have been introduced that are either occasional (performed when a predefined condition(s) is violated) or structured as part of the normal update iteration. However, in neither case is any confidence explicitly given that the computed parameters are in fact close to the desired ones. Here, we introduce a time invariant parameter that provides the user with more flexibility in establishing confidence in the consistency of the updated filter parameters. Additionally, we provide evidence through the introduction of a hybrid FTF algorithm that when sufficient time is given prior to catastrophic divergence, the update parameters of the FTF algorithm can be adjusted so that consistency can be acquired and maintained.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 5; 1203-1216
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Stability of an Irrigation Canal System
Autorzy:
Bounit, H.
Powiązania:
https://bibliotekanauki.pl/articles/908097.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
Saint-Venant equation
dimensionless
symmetric hyperbolic equation
internal stability
transfer functions
input-output stability
regular systems
Opis:
In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential (or internal) stability of the semigroup underlying the system. Next, we compute explicitly the transfer functions of the system and we show that the input-output (or external) stability holds. Finally, we prove that the system is regular in the sense of (Weiss, 1994) and give various properties related to its transfer functions.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 453-468
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Asymptotical Stability of a Dynamic System With Structural Damping
Autorzy:
Hou, X.
Powiązania:
https://bibliotekanauki.pl/articles/908219.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
dynamic systems
evolution equation
asymptotic stability
Opis:
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 131-138
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for practical stability of positive fractional discrete-time linear systems
Autorzy:
Busłowicz, M.
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907662.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
system dyskretno-czasowy
system ułamkowy
stateczność
stateczność praktyczna
linear system
positive
discrete-time
fractional
stability
practical stability
Opis:
In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 263-269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the dynamics of a vaccination model with multiple transmission ways
Autorzy:
Liao, S.
Yang, W.
Powiązania:
https://bibliotekanauki.pl/articles/331029.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
vaccination model
stability
equilibrium
model szczepień
stabilność
równowaga
Opis:
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 761-772
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Logistic Equations in Tumour Growth Modelling
Autorzy:
Foryś, U.
Marciniak-Czochra, A.
Powiązania:
https://bibliotekanauki.pl/articles/908165.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
medycyna
logistic equation
delay differential equation
reaction-diffusion equation
stability
global stability
Hopf bifurcation
spatial pattern
Ehrlich ascities tumour
Opis:
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 317-325
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State
Autorzy:
Sikora, B.
Powiązania:
https://bibliotekanauki.pl/articles/908099.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
delay systems
constrained controllability
control
constraints
asymptotic stability
Opis:
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 469-479
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monitoring and numerical modeling of a road in landslide terrain
Monitoring i modelowanie numeryczne drogi kołowej w terenie osuwiskowym
Autorzy:
Kogut, J. P.
Pilecka, E.
Szwarkowski, D.
Powiązania:
https://bibliotekanauki.pl/articles/396290.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
landslides
monitoring
stability
roads
numerical modeling
osuwiska
stateczność
drogi
modelowanie
Opis:
Due to the significant role and noticeable development of transportation routes running from the north to the south of central Europe, several problems related to the construction and functioning of roads in the Carpathian foothills have been revealed. Recent climate change causes areas, where transport routes are particularly exposed to hazards, to succumb to technical exploitation and degradation. The elimination of the threats related to the activation of landslide phenomena becomes particularly expensive. Old roads, which were once designed for significantly lower axle loads and less heavy traffic conditions, are predominantly exposed. At the present, these roads are heavily exploited and have become overloaded. As a result, both the roadway and the subgrade undergo damage, which causes an increase in dynamic loads, and in potentially endangered areas, the activation of landslides. Landslides in the Carpathian flysch have a peculiar susceptibility to activation due to its geological structure. This paper addresses the problem of monitoring and analysing the effects of a landslide associated with the operation of a transportation route running through the slope of the Carpathian flysch. The studies include both field work and laboratory testing of basic geotechnical parameters. The parameters obtained during the geotechnical investigations, conducted for the purpose of building a numerical model, have been completed. The field work includes surveys made by a terrestrial laser scanner. The study also includes a number of 2D and 3D numerical models. These models, along with the substrate parameters, have been introduced into the FEA package and then calibrated. Subsequently, an analysis of the effects of landslide susceptibility and the behaviour of the road and terrain surface, due to the different variants of the loads, is shown along with the results of surveys.
Z uwagi na znaczącą rolę i rozwój szlaków komunikacyjnych przebiegających z północy na południe ujawniają się problemy związane z budową i eksploatacją dróg w podgórskich rejonach Karpat. Zmiany klimatyczne powodują, że obszary, w których przebiegają szlaki transportowe szczególnie narażone są na zagrożenia wynikające z ich technicznej eksploatacji i degradacji. Szczególnie kosztowna staje się likwidacja zagrożeń związanych z aktywacją zjawisk osuwiskowych. Mocno narażone pozostają stare drogi, które kiedyś projektowane były na znacznie mniejsze obciążenia osi pojazdów i inne warunki ruchu. W chwili obecnej drogi te są mocniej eksploatowane i bardziej przeciążone. Przez to zarówno jezdnia, jak i podbudowa ulega uszkodzeniom, co wywołuje zwiększenie obciążeń dynamicznych, zaś w rejonach potencjalnie zagrożonych, aktywację osuwisk. Osuwiska we fliszu karpackim charakteryzują się szczególną podatnością na aktywację ze względu na swoją budowę geologiczną. W pracy zajęto się problemem monitoringu i badania skutków wystąpienia osuwiska związanego z eksploatacją szlaku komunikacyjnego przebiegającego przez skarpę, której podłoże stanowi właśnie flisz karpacki. Dokonano zestawienia parametrów uzyskanych w trakcie badań geotechnicznych, prowadzonych na potrzeby budowy modelu numerycznego. Badania te obejmowały zarówno prace terenowe, jak i badania laboratoryjne podstawowych parametrów geotechnicznych. Prace terenowe uzupełniały pomiary geodezyjne wykonane skanerem laserowym. Zbudowano również szereg modeli numerycznych 2D i 3D. Modele te, wraz z przebadanymi parametrami podłoża zostały wprowadzone do pakietu MES, a następnie skalibrowane. W dalszej kolejności dokonano analizy skutków zagrożenia osuwiskowego i zachowania się drogi oraz podłoża przy różnych wariantach obciążeń oraz pokazano wyniki obserwacji geodezyjnych.
Źródło:
Civil and Environmental Engineering Reports; 2018, No. 28(2); 150-163
2080-5187
2450-8594
Pojawia się w:
Civil and Environmental Engineering Reports
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of the Stability Boundary and the Frequency Response Stability Condition in Learning and Repetitive Control
Autorzy:
Songschon, S.
Longman, R. W.
Powiązania:
https://bibliotekanauki.pl/articles/908202.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
iterative learning control
repetitive control
stability
monotonic convergence
Opis:
In iterative learning control (ILC) and in repetitive control (RC) one is interested in convergence to zero tracking error as the repetitions of the command or the periods in the command progress. A condition based on steady state frequency response modeling is often used, but it does not represent the true stability boundary for convergence. In this paper we show how this useful condition differs from the true stability boundary in ILC and RC, and show that in applications of RC the distinction between these conditions is of no practical significance. In ILC satisfying this frequency condition is important for good learning transients, even though the true stability boundary is very different.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 169-177
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Predictive Control Using a Time-Varying Youla Parameter
Autorzy:
Van den Boom, T. J. J.
De Vries, R. A. J.
Powiązania:
https://bibliotekanauki.pl/articles/908311.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
stabilność
niezawodność
predictive control
Youla parametrization
stability
robustness
Opis:
In this paper, a standard predictive control problem (SPCP) is formulated, which consists of one extended process description with a feedback uncertainty block. The most important finite horizon predictive control problems can be seen as special realizations of this SPCP. The SPCP and its solution are given in a state-space form. The objective of the controller is a nominal performance subject to signal constraints and robust stability with respect to a 1-norm bounded model uncertainty. The optimal controller consists of a feedforward part for nominal signal tracking and a feedback part for disturbance rejection and model error compensation. The feedforward part is realized by the predictive controller for the nominal disturbance-free case. The feedback part of the controller is realized by using the Youla parametrization. The Youla parameter is optimized at every sample time in a receding horizon setting to cope with signal constraints and (robust stability) constraints on the operator itself.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 101-128
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling Tumour-Immunity Interactions With Different Stimulation Functions
Autorzy:
Zhivkov, P.
Waniewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/908163.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
matematyka
ordinary differential equations
critical points
stability analysis
immunotherapy
Opis:
Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour. Three different types of stimulation functions were considered: (a) Lotka-Volterra interactions, (b) switching functions dependent on the tumour size in the Michaelis-Menten form, and (c) Michaelis-Menten switching functions dependent on the ratio of the tumour size to the immune capacity. The linear analysis of equilibrium points yielded several different types of asymptotic behaviour of the system: unrestricted tumour growth, elimination of tumour or stabilization of the tumour size if the initial tumour size is relatively small, otherwise unrestricted tumour growth, global stabilization of the tumour size, and global elimination of the tumour. Models with switching functions dependent on the tumour size and the tumour to the immune capacity ratio exhibited qualitatively similar asymptotic behaviour.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 307-315
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mittag-Leffler stability for a Timoshenko problem
Autorzy:
Tatar, Nasser-eddine
Powiązania:
https://bibliotekanauki.pl/articles/1838213.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Caputo fractional derivative
Mittag-Leffler stability
multiplier technique
resolvent operator
Opis:
A Timoshenko system of a fractional order between zero and one is investigated here. Using a fractional version of resolvents, we establish an existence and uniqueness theorem in an appropriate space. Moreover, it is proved that lower order fractional terms (in the rotation component) are capable of stabilizing the system in a Mittag-Leffler fashion. Therefore, they deserve to be called damping terms. This is shown through the introduction of some new functionals and some fractional inequalities, and the establishment of some properties, involving fractional derivatives. In the case of different wave speeds of propagation we obtain convergence to zero.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 219-232
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A modified van der Pol equation with delay in a description of the heart action
Autorzy:
Zduniak, B.
Bodnar, M.
Foryś, U.
Powiązania:
https://bibliotekanauki.pl/articles/330034.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system with feedback
stability
action potential
sprzężenie zwrotne
stabilność
potencjał czynnościowy
Opis:
In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological modes. Usage of certain values for feedback and delay parameters allows simulating the heart action when an accessory conducting pathway is present (Wolff–Parkinson–White syndrome).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 853-863
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
Autorzy:
Xu, C.
Liao, M.
He, X.
Powiązania:
https://bibliotekanauki.pl/articles/907822.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie
stabilność
bifurkacja Hopfa
predator-prey model
delay
stability
Hopf bifurcation
Opis:
In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 97-107
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 120

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