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Wyświetlanie 1-15 z 44
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:
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:
Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: a discrete-time case
Autorzy:
Zubowicz, T.
Brdyś, M. A.
Powiązania:
https://bibliotekanauki.pl/articles/911226.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Lyapunov
stability
analysis
fuzzy control
antiwindup
stateczność
sterowanie rozmyte
stabilność Lyapunova
Opis:
This paper addresses the problem of model-based global stability analysis of discrete-time Takagi–Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 65-73
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
Tytuł:
Existence and determination of the set of Metzler matrices for given stable polynomials
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/331407.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
oznaczanie
istnienie
macierz Metzlera
wielomian
stabilność
determination
existence
Metzler matrix
polynomial
stability
Opis:
The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 389-399
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation
Autorzy:
Kouche, M.
Ainseba, B.
Powiązania:
https://bibliotekanauki.pl/articles/907704.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
zakażenie HIV
stabilność
hodowla tkanek
HIV
periodic oscillations
persistence
stability
tissue culture
Opis:
In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent with the existence of an infected equilibrium. Numerical simulations indicate that, depending on the fraction of cells surviving the incubation period, the solutions approach either an infected steady state or a periodic orbit.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 601-612
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of a class of adaptive nonlinear systems
Autorzy:
Dzieliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/908445.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
stabilność Lapunova
układ adaptacyjny
nonlinear systems
Lyapunov stability
adaptive systems
Opis:
This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear systems is investigated and it is shown how the problem of model following control may be tackled using this methodology.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 455-462
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of Multi-Dimensional Discrete Systems With Varying Structure
Autorzy:
Dymkov, M.
Gaishun, I.
Powiązania:
https://bibliotekanauki.pl/articles/908265.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ wielowymiarowy
złożenie krzywoliniowe
stabilność
multi-dimensional systems
total solvability
curvilinear composition
stability
Opis:
A new class of multi-dimensional discrete systems with varying structureis introduced. The notions of total solvability, p_t-boundedness, p_t-stability and asymptotic stability are defined. For studying properties of the solutions for the considered systems a curvilinear composition of mappings along discrete curves is used. Total solvability conditions similar to the Frobenius ones are obtained. Sufficient conditions for p_t-stability and asymptotic stability based on the Lyapunov functional method are also established. A two-dimensional system of Volterra equations is presented as an example of equations with varying structure.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 789-799
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A robust controller design method and stability analysis of an underactuated underwater vehicle
Autorzy:
Chin, C. S.
Lau, M. W. S.
Low, E.
Seet, G. G. L.
Powiązania:
https://bibliotekanauki.pl/articles/908396.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
pojazd podwodny
stabilność
sterowanie odporne
symulacja
underwater vehicle
underactuated
stabilizable
robust controller
simulation
Opis:
The problem of designing a stabilizing feedback controller for an underactuated system is a challenging one since a nonlinear system is not stabilizable by a smooth static state feedback law. A necessary condition for the asymptotical stabilization of an underactuated vehicle to a single equilibrium is that its gravitational field has nonzero elements corresponding to unactuated dynamics. However, global asymptotical stability (GAS) cannot be guaranteed. In this paper, a robust proportional-integralderivative (PID) controller on actuated dynamics is proposed and unactuated dynamics are shown to be global exponentially bounded by the Sordalen lemma. This gives a necessary and sufficient condition to guarantee the global asymptotic stability (GAS) of the URV system. The proposed method is first adopted on a remotely-operated vehicle RRC ROV II designed by the Robotic Research Centre in the Nanyang Technological University (NTU). Through the simulation using the ROV Design and Analysis toolbox (RDA) written at the NTU in the MATLAB/SIMULINK environment, the RRC ROV II is robust against parameter perturbations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 345-356
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay-dependent Asymptotic Stabilitzation for Uncertain Time-delay Systems with Saturating Actuators
Autorzy:
Liu, P. L.
Powiązania:
https://bibliotekanauki.pl/articles/908496.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność
system opóźniania
równanie Riccatiego
stability
delay-dependency
time delay system
Riccati equation
Opis:
This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 45-51
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 Chemostat Model With Delayed Nutrient Recycling
Autorzy:
Fergola, P.
Jiang, L.
Ma, Z.
Powiązania:
https://bibliotekanauki.pl/articles/929727.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność
sterowanie populacją
chemostat model
delayed nutrient recycling
stability
uniform persistence
population control
Opis:
This paper studies the dynamics of a chemostat model with n populations competing for one nutrient which can be recycled due to decomposition of dead biomass. Several kinds of results about local and global stability of non-negative equilibria, uniform persistence and control of populations are obtained.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 81-96
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity of fractional descriptor linear discrete-time systems
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/329958.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional descriptor
discrete time system
stability
solution
positivity
deskryptor ułamkowy
układ dyskretno czasowy
stabilność
Opis:
The positivity of fractional descriptor linear discrete-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear discrete-time systems are established. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 305-310
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
Autorzy:
Ding, D.
Ma, Q.
Ding, X.
Powiązania:
https://bibliotekanauki.pl/articles/330497.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonstandard finite difference
unconditional positivity
stability
Lyapunov function
metoda różnic skończonych
stabilność
funkcja Lyapunova
Opis:
In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time step. Our proof of global stability utilizes the method of Lyapunov functions. Numerical simulation illustrates the effectiveness of our results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 635-646
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Criteria for Stability of Uncertain Linear Systems With Time-Varying Delay
Autorzy:
Han, Q. L.
Gu, K.
Powiązania:
https://bibliotekanauki.pl/articles/911198.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność
niepewność
funkcja Lapunowa
stability
time-varying delay
uncertainty
linear matrix inequalities
Lyapunov functional
Opis:
This paper focuses on the stability problem for uncertain linear systems with time-varying delays. Based on a discretized Lyapunov functional approach, delay-dependent criteria that are formulated in terms of linear matrix inequalities are proposed to guarantee asymptotic stability for such systems. Numerical examples are also included to show the effectiveness of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 205-225
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 44

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