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Wyświetlanie 1-15 z 21
Tytuł:
On Delay-Dependent Stability for Neutral Delay-Differential Systems
Autorzy:
Han, Q. L.
Powiązania:
https://bibliotekanauki.pl/articles/908069.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie czasowe
opóźnienie zależne
stability
time delay
neutral system
linear matrix inequality (LMI)
Opis:
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 965-976
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rough Set-Based Dimensionality Reduction for Supervised and Unsupervised Learning
Autorzy:
Shen, Q.
Chouchoulas, A.
Powiązania:
https://bibliotekanauki.pl/articles/908369.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
baza wiedzy
gromadzenie wiedzy
knowledge-based systems
fuzzy rule induction
rough dimensionality reduction
knowledge acquisition
Opis:
The curse of dimensionality is a damning factor for numerous potentially powerful machine learning techniques. Widely approved and otherwise elegant methodologies used for a number of different tasks ranging from classification to function approximation exhibit relatively high computational complexity with respect to dimensionality. This limits severely the applicability of such techniques to real world problems. Rough set theory is a formal methodology that can be employed to reduce the dimensionality of datasets as a preprocessing step to training a learning system on the data. This paper investigates the utility of the Rough Set Attribute Reduction (RSAR) technique to both supervised and unsupervised learning in an effort to probe RSAR's generality. FuREAP, a Fuzzy-Rough Estimator of Algae Populations, which is an existing integration of RSAR and a fuzzy Rule Induction Algorithm (RIA), is used as an example of a supervised learning system with dimensionality reduction capabilities. A similar framework integrating the Multivariate Adaptive Regression Splines (MARS) approach and RSAR is taken to represent unsupervised learning systems. The paper describes the three techniques in question, discusses how RSAR can be employed with a supervised or an unsupervised system, and uses experimental results to draw conclusions on the relative success of the two integration efforts.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 3; 583-601
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
Tytuł:
Robust Stabilization for Uncertain Time-Varying Delay Constrained Systems With Delay-Dependence
Autorzy:
Han, Q. L.
Mehdi, D.
Powiązania:
https://bibliotekanauki.pl/articles/908298.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system opóźniania
stabilizacja
odporność na błędy
time-delay systems
stabilization
robustness
nonlinear parametric perturbations
saturating actuators
Opis:
This paper is concerned with the problem of robust stabilization of linear time-varying delay systems containing saturating actuators in the presence of nonlinear parametric perturbations. Based on Razumikhin's approach to the stability of functional differential equations, we determine upper bounds on the time-varying delay such that the uncertain system under consideration is robustly globally or locally asymptotically stabilizable via memoryless state feedback control laws. The obtained bounds are given in terms of solutions to Lyapunov equations. Two numerical examples are included to illustrate the results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 293-311
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:
Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays
Autorzy:
Zhang, Q.
Yang, L.
Liao, D.
Powiązania:
https://bibliotekanauki.pl/articles/930186.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sieć neuronowa
stateczność wykładnicza
rozwiązanie okresowe
fuzzy cellular neural networks
global exponential stability
periodic solution
coincidence degree
Opis:
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 649-658
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite-time adaptive modified function projective multi-lag generalized compound synchronization for multiple uncertain chaotic systems
Autorzy:
Li, Q.
Liu, S.
Chen, Y.
Powiązania:
https://bibliotekanauki.pl/articles/331032.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
finite-time adaptive control
unknown parameter
chaotic system
sterowanie adaptacyjne
parametr nieznany
układ chaotyczny
Opis:
In this paper, for multiple different chaotic systems with fully unknown parameters, a novel synchronization scheme called ‘modified function projective multi-lag generalized compound synchronization’ is put forward. As an advantage of the new method, not only the addition and subtraction, but also the multiplication of multiple chaotic systems are taken into consideration. This makes the signal hidden channels more abundant and the signal hidden methods more flexible. By virtue of finite-time stability theory and an adaptive control technique, a finite-time adaptive control scheme is established to realize the finite-time synchronization and to properly evaluate the unknown parameters. A detailed theoretical derivation and a specific numerical simulation demonstrate the feasibility and validity of the advanced scheme.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 613-624
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bifurcation and control for a discrete-time prey–predator model with Holling-IV functional response
Autorzy:
Chen, Q.
Teng, Z.
Hu, Z.
Powiązania:
https://bibliotekanauki.pl/articles/907649.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
discrete prey predator model
flip bifurcation
Hopf bifurcation
saddle node bifurcation
OGY chaotic control
bifurkacja Hopfa
sterowanie chaosem
Opis:
The dynamics of a discrete-time predator–prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory. Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations in period-2, 4, 8, 16, quasi-periodic orbits, an attracting invariant circle, an inverse period-doubling bifurcation from the period-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non-attracting sets. We also observe that when the prey is in chaotic dynamics the predator can tend to extinction or to a stable equilibrium. Specifically, we stabilize the chaotic orbits at an unstable fixed point by using OGY chaotic control.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 247-261
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Contact Problems With Slip-Dependent Friction in Viscoelasticity
Autorzy:
Ionescu, I. R.
Nguyen, Q. L.
Powiązania:
https://bibliotekanauki.pl/articles/907891.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
slip-dependent friction
dynamic viscoelasticity
Tresca contact
normal compliance
existence and uniqueness
Opis:
The dynamic evolution with frictional contact of a viscoelastic body is considered. The assumptions on the functions used in modelling the contact are broad enough to include both the normal compliance and the Tresca models. The friction law uses a friction coefficient which is a non-monotone function of the slip. The existence and uniqueness of the solution are proved in the general three-dimensional case.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 71-80
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching
Autorzy:
Xiang, Z.
Wang, R.
Chen, Q.
Powiązania:
https://bibliotekanauki.pl/articles/929592.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie czasowe
sterowanie tolerujące uszkodzenia
układ komutowany
układ nieliniowy
time delay
fault tolerant control
switched nonlinear systems
asynchronous switching
Opis:
This paper investigates the problem of fault tolerant control of a class of uncertain switched nonlinear systems with time delay under asynchronous switching. The systems under consideration suffer from delayed switchings of the controller. First, a fault tolerant controller is proposed to guarantee exponentially stability of the switched systems with time delay. The dwell time approach is utilized for stability analysis and controller design. Then the proposed approach is extended to take into account switched time delay systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 497-506
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reliability modeling of fault tolerant control systems
Autorzy:
Li, H.
Zhao, Q.
Yang, Z.
Powiązania:
https://bibliotekanauki.pl/articles/929822.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
ocena niezawodności
procesy semimarkowskie
fault tolerant control
reliability evaluation
semi-Markov processes
Opis:
This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process, is determined by four probabilistic parameters based on the Markovian model of FTCSs. Computed from the transition probabilities of the semi-Markov process, the reliability index incorporates control objectives, hard deadline, and the effects of imperfect FDI, a suitable quantitative measure of the overall performance.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 491-504
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recursive identification algorithm for dynamic systems with output backlash and its convergence
Autorzy:
Dong, R.
Tan, Q.
Tan, Y.
Powiązania:
https://bibliotekanauki.pl/articles/930007.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system nieliniowy
luz
identyfikacja rekurencyjna
nonlinear system
backlash
recursive identification
pseudo-Wiener model
Opis:
This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudo-Wiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 631-638
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of friction stir processing parameters of aluminum alloy reinforced with hybrid nanoparticles using the Taguchi method
Autorzy:
Ali, Mohammed Sultan
Al Saffar, Iman Q.
Powiązania:
https://bibliotekanauki.pl/articles/27312410.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stop aluminium
metoda Taguchi
tarcie
aluminum alloy
friction stir processing
nanoparticles
Taguchi method
ANOVA
Opis:
This study deals with the selection of optimum parameters for friction stir processing of Al alloy 6061-T6 reinforced with a hybrid nanoparticle (B4C and SiO2) in terms of their effect on the mechanical properties (hardness, tensile strength, and wear resistance) using Taguchi method. This work was carried out under four parameters each one running in three levels; rotational speeds (800, 1000 and 1200) rpm, travel speeds (10, 20, and 30) mm/min, holes depth (2, 2.5, and 3) mm, and mixing ratio of (SiO2/B4C) nanoparticles (1/1, 1/2, and 1/3), using L9 (34) Taguchi orthogonal array. Tensile strength and microhardness tests were conducted to evaluate the mechanical properties, in addition to the wear resistance test which is carried out using a pin-on-disk device. The microstructure was examined by optical microscopy, field emission scanning electron microscopy, and x-ray diffraction analysis. It was found that the highest tensile strength (223) MPa at 1200 rpm rotational speed, 30 mm/min traverse speed, 2.5 mm holes depth, and 1/2 (SiO2/B4C) nanoparticles mixing ratio, the highest hardness reached is (155) HV, then decreases in the direction of thermomechanically affected zone (TMAZ), heat affected zone (HAZ), and the base material at (1200) rpm rotational speed, (30) mm/min linear speed, a hole depth of (2) mm and (1/3) mixing ratio of (B4C/SiO2) nanoparticles. The wear behavior was of a mild type or an oxidative type at low loads (5 N), which became severe or metallic wear at higher loads (20 N) at fixed sliding time and speed. The (ANOVA) table has been used to determine which parameter is the most significant using MINITAB software.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 4; 13--25
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The interval Shapley value of an M/M/1 service system
Autorzy:
E, C. G.
Li, Q. L.
Li, S.
Powiązania:
https://bibliotekanauki.pl/articles/330815.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
M/M/1 service system
cooperative interval game
cost allocation
Shapley value
gra przedziałowa kooperatywna
alokacja kosztów
wartość Shapley'a
Opis:
Service systems and their cooperation are one of the most important and hot topics in management and information sciences. To design a reasonable allocation mechanism of service systems is the key issue in the cooperation of service systems. In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games ,[...] arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperative interval games [...]. We construct an interval game [...] of a service system which shares the same value for the grand coalition with the original interval game, by using the characteristic function which is dominated by the function of the original interval game. Finally, we prove that the interval game [...] is concave, which means that the interval Shapley value of the interval game [...] is in the interval core of this interval game, and illustrate this conclusion by using numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 549-562
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rough Relation Properties
Autorzy:
Nicoletti, M. C.
Uchoa, J. Q.
Baptistini, M. T. Z.
Powiązania:
https://bibliotekanauki.pl/articles/908367.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
teoria mnogości
przedstawienie wiedzy
rough set theory
rough relation
knowledge representation
Opis:
Rough Set Theory (RST) is a mathematical formalism for representing uncertainty that can be considered an extension of the classical set theory. It has been used in many different research areas, including those related to inductive machine learning and reduction of knowledge in knowledge-based systems. One important concept related to RST is that of a rough relation. This paper rewrites some properties of rough relations found in the literature, proving their validity.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 3; 621-635
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 21

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