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Wyświetlanie 1-15 z 20
Tytuł:
Initial data generating bounded solutions of linear discrete equations
Autorzy:
Bastinec, J.
Diblik, J.
Ruzickova, M.
Powiązania:
https://bibliotekanauki.pl/articles/255873.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear discrete equation
bounded solutions
initial data
Opis:
A lot of papers are devoted to the investigation of the problem of prescribed behavior of solutions of discrete equations and in numerous results sufficient conditions for existence of at least one solution of discrete equations having prescribed asymptotic behavior are indicated. Not so much attention has been paid to the problem of determining corresponding initial data generating such solutions. We fill this gap for the case of linear equations in this paper. The initial data mentioned are constructed with use of two convergent monotone sequences. An illustrative example is considered, too.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 395-406
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a new critical point theorem and some applications to discrete equations
Autorzy:
Galewski, M.
Galewska, E.
Powiązania:
https://bibliotekanauki.pl/articles/254737.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
critical point
multiplicity
discrete equation
Fenchel-Young transform
Opis:
Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 725-732
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On solvability of some difference-discrete equations
Autorzy:
Vasilyev, A. V.
Vasilyev, V. B.
Powiązania:
https://bibliotekanauki.pl/articles/254700.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
multidimensional difference-discrete equation
symbol
factorization
periodic Riemann problem
Opis:
Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained. Some statements of boundary value problems of discrete type are given.
Źródło:
Opuscula Mathematica; 2016, 36, 4; 525-539
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A retract principle on discrete time scales
Autorzy:
Diblik, J.
Ruzickova, M.
Vaclavikova, B.
Powiązania:
https://bibliotekanauki.pl/articles/255911.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
discrete equation
discrete time scale
asymptotic behavior of solution
retract
retraction
Opis:
In this paper we discuss asymptotic behavior of solutions of a class of scalar discrete equations on discrete real time scales. A powerful tool for the investigation of various qualitative problems in the theory of ordinary differential equations as well as delayed differential equations is the retraction method. The development of this method is discussed in the case of the equation mentioned above. Conditions for the existence of a solution with its graph remaining in a predefined set are formulated. Examples are given to illustrate the results obtained.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 445-455
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer methods for calculating tuple solutions of polynomial matrix equations
Autorzy:
Dorożyński, J.
Nedashkovskyy, M.
Powiązania:
https://bibliotekanauki.pl/articles/200783.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
matrix polynomial equations
discrete (time) Riccati equation
tuples of solutions
MATLAB
Opis:
Schemes are presented for calculating tuples of solutions of matrix polynomial equations using continued fractions. Despite the fact that the simplest matrix equations were solved in the second half of the 19th century, and the problem of multiplier decomposition was then deeply analysed, many tasks in this area have not yet been solved. Therefore, the construction of computer schemes for calculating the sequences of solutions is proposed in this work. The second-order matrix equations can be solved by a matrix chain function or iterative method. The results of the numerical experiment using the MatLab package for a given number of iterations are presented. A similar calculation is done for a symmetric square matrix equation of the 2nd order. Also, for the discrete (time) Riccati equation, as its analytical solution cannot be performed yet, we propose constructing its own special scheme of development of the solution in the matrix continued fraction. Next, matrix equations of the n-th order, matrix polynomial equations of the order of non-canonical form, and finally, the conditions for the termination of the iterative process in solving matrix equations by branched continued fractions and the criteria of convergence of matrix branching chain fractions to solutions are discussed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 235-243
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Survey of applications of discrete vortex method in civil engineering
Autorzy:
Nowicki, T.
Powiązania:
https://bibliotekanauki.pl/articles/390713.pdf
Data publikacji:
2009
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
discrete vortex method
Navier-Stokes equation
Opis:
This paper includes an introduction to Discrete Vortex Method (DVM) and its comparison with other methods of computer fluid dynamics. In its second part it focuses on the most important applications of DVM from the civil engineering point of view. Some examples known form literature are presented theoretical as well as experimental.
Źródło:
Budownictwo i Architektura; 2009, 5, 2; 29-38
1899-0665
Pojawia się w:
Budownictwo i Architektura
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of discrete linear fractional equations
Autorzy:
Anh, P. T.
Babiarz, A.
Czornik, A.
Niezabitowski, M.
Siegmund, S.
Powiązania:
https://bibliotekanauki.pl/articles/200917.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear discrete-time fractional systems
Caputo equation
Riemann-Liouville equation
Volterra convolution equation
stability
Opis:
In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 749-759
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heuristic analysis in the process of detecting serial offenders, part one – Signature
Analiza heurystyczna w procesie wykrywczym sprawców seryjnych przestępstw ciężkich, cześć pierwsza – sygnatura sprawcy
Autorzy:
Markiewicz, Włodzimierz
Powiązania:
https://bibliotekanauki.pl/articles/1790757.pdf
Data publikacji:
2021
Wydawca:
Towarzystwo Wiedzy Powszechnej w Szczecinie
Tematy:
Signature
formative period
Verhulst discrete logistic equation
Feigenbaum’s constant
evolution of the perpetrator's psyche
thought patterns
chaos
heuristic
Sygnatura
okres formatywny
Verhulst
Feigenbaum
ewolucja psychiki
sprawcy
schematy myślowe
heurystyka
Opis:
The article presents issues related to the creation of a signature of serial offender. Using known dependencies and functions used in the natural sciences, which describe the iterative process of changes in the environment, the speed, range, time of emergence and augmentation of the psychopathology of a serial offender were determined. The article is the first in a series of publications describing the use of computer aided heuristic analysis in the process of detecting perpetrators of serial crime (ViCLAS). The paper presents the impact of the environment in the formative period on the evolution of the perpetrator's psyche. Using the Pierre-Francois Verhulst’s equation and Feigenbaum's constant, the direction, speed and cognitive limits in the signature development process were visualized. The concept of Signature is described, as well as the differences between Signature and Modus Operandi.
Artykuł przedstawia zagadnienia związane z tworzeniem sygnatury sprawcy seryjnych przestępstw ciężkich. Przy użyciu znanych zależności i funkcji używanych w naukach przyrodniczych, które to opisują iteracyjny proces zmian w srodowisku okreslono szybkosc, zasieg, czas powstawania oraz augmentacji psychopatologii przestepcy seryjnego. Artykuł jest pierwszym w serii publikacji opisujących zastosowanie komputerowej analizy heurystycznej w procesie wykrywczym sprawców seryjnych (ViCLAS). Przedstawiono wpływ środowiska w okresie formatywnym na ewolucję psychiki sprawcy. Używając równania Pierre-Francois Verhulsta oraz stałej Feigenbauma, zobrazowano kierunek, prędkosć oraz granice poznawcze w procesie rozwoju sygnatury. Opisano pojęcie Sygnatury, a także roznicy pomiędzy Sygnaturą a Modus Operandi.
Źródło:
Edukacja Humanistyczna; 2021, 1, 44; 93-104
1507-4943
Pojawia się w:
Edukacja Humanistyczna
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new algorithm for a CFE-approximated solution of a discrete-time noninteger-order state equation
Autorzy:
Oprzędkiewicz, K.
Stanisławski, R.
Gawin, E.
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/199796.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order calculus
discrete-time noninteger-order state equation
continuous fraction expansion
Al-Alaoui operator
równanie dyskretne
aproksymacja Al-Alaoui
CFE
Opis:
In the paper, a new method for solution of linear discrete-time fractional-order state equation is presented. The proposed method is simpler than other methods using directly discrete-time version of the Grünwald-Letnikov operator. The method is dedicated to use with any approximator to the operator expressed by a discrete transfer function, e.g. CFE-based Al-Alaoui approximation. A simulation example confirms the usefulness of the method.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 4; 429-437
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A computer algorithm for the solution of the Astate equation for time-varying fractional discrete-time linear systems
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114166.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
linear
time-varying
fractional
discrete-time system
state equation
solution
Opis:
Method for finding of the solution of the state equation for time-varying fractional discrete-time linear systems is proposed and computer algorithm is presented. The effectiveness of the proposed algorithm is demonstrated on numerical examples.
Źródło:
Measurement Automation Monitoring; 2015, 61, 1; 2-4
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The practical stability of the discrete, fractional order, state space model of the heat transfer process
Autorzy:
Oprzędkiewicz, K.
Gawin, E.
Powiązania:
https://bibliotekanauki.pl/articles/230065.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete non-integer order system
heat transfer
diffusion equation
Grünvald-Letnikov operator
practical stability
Opis:
In the paper the practical stability problem for the discrete, non-integer order model of one dimmensional heat transfer process is discussed. The conditions associating the practical stability to sample time and maximal size of finite-dimensional approximation of heat transfer model are proposed. These conditions are formulated with the use of spectrum decoposition property and practical stability conditions for scalar, positive, fractional order systems. Results are illustrated by a numerical example.
Źródło:
Archives of Control Sciences; 2018, 28, 3; 463-482
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite-horizon Markov control processes with undiscounted cost criteria: from average to overtaking optimality
Autorzy:
Hernández-Lerma, Onésimo
Vega-Amaya, Oscar
Powiązania:
https://bibliotekanauki.pl/articles/1339029.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
uniform ergodicity
Lyapunov stability conditions
(discrete-time) Markov control processes
Poisson's equation
undiscounted cost criteria
Opis:
We consider discrete-time Markov control processes on Borel spaces and infinite-horizon undiscounted cost criteria which are sensitive to the growth rate of finite-horizon costs. These criteria include, at one extreme, the grossly underselective average cost
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 2; 153-178
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:
Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:
This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solving the Problem of Discrete Process Control Synthesis Using Optimization on a Sliding Interval
Autorzy:
Julayeva, Zhazira
Wójcik, Waldemar
Kashaganova, Gulzhan
Togzhanova, Kulzhan
Mambetov, Saken
Powiązania:
https://bibliotekanauki.pl/articles/27311920.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
discrete process control
optimization
sliding interval
equation of a closed loop system
closed loop control system
Opis:
The paper brings forward an idea of multi-threaded computation synchronization based on the shared semaphored cache in the multi-core CPUs. It is dedicated to the implementation of multi-core PLC control, embedded solution or parallel computation of models described using hardware description languages. The shared semaphored cache is implemented as guarded memory cells within a dedicated section of the cache memory that is shared by multiple cores. This enables the cores to speed up the data exchange and seamlessly synchronize the computation. The idea has been verified by creating a multi-core system model using Verilog HDL. The simulation of task synchronization methods allows for proving the benefits of shared semaphored memory cells over standard synchronization methods. The proposed idea enhances the computation in the algorithms that consist of relatively short tasks that can be processed in parallel and requires fast synchronization mechanisms to avoid data race conditions.
Źródło:
International Journal of Electronics and Telecommunications; 2023, 69, 2; 383--389
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of algebraic and difference equations with a prescribed solution space
Autorzy:
Moysis, L.
Karampetakis, N. P.
Powiązania:
https://bibliotekanauki.pl/articles/330046.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
algebraic equation
difference equation
behavior
exact modeling
autoregressive representation
discrete time system
higher order system
równanie algebraiczne
równanie różnicowe
system czasu dyskretnego
system wyższego rzędu
Opis:
This paper studies the solution space of systems of algebraic and difference equations, given as auto-regressive (AR) representations A(σ) β (k) = 0, where σ denotes the shift forward operator and A(σ) is a regular polynomial matrix. The solution space of such systems consists of forward and backward propagating solutions, over a finite time horizon. This solution space can be constructed from knowledge of the finite and infinite elementary divisor structure of A(σ) . This work deals with the inverse problem of constructing a family of polynomial matrices A(σ) such that the system A(σ) β (k) = 0 satisfies some given forward and backward behavior. Initially, the connection between the backward behavior of an AR representation and the forward behavior of its dual system is showcased. This result is used to construct a system satisfying a certain backward behavior. By combining this result with the method provided by Gohberg et al. (2009) for constructing a system with a forward behavior, an algorithm is proposed for computing a system satisfying the prescribed forward and backward behavior.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 19-32
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 20

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