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Wyszukujesz frazę "discrete equation" wg kryterium: Temat


Tytuł:
Average cost Markov control processes with weighted norms: existence of canonical policies
Autorzy:
Gordienko, Evgueni
Hernández-Lerma, Onésimo
Powiązania:
https://bibliotekanauki.pl/articles/1340317.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
discounted cost
average cost optimality equation
long run average cost
(discrete-time) Markov control processes
average cost optimality inequality
weighted norms
Opis:
This paper considers discrete-time Markov control processes on Borel spaces, with possibly unbounded costs, and the long run average cost (AC) criterion. Under appropriate hypotheses on weighted norms for the cost function and the transition law, the existence of solutions to the average cost optimality inequality and the average cost optimality equation are shown, which in turn yield the existence of AC-optimal and AC-canonical policies respectively.
Źródło:
Applicationes Mathematicae; 1995-1996, 23, 2; 199-218
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Average cost Markov control processes with weighted norms: value iteration
Autorzy:
Gordienko, Evgueni
Hernández-Lerma, Onésimo
Powiązania:
https://bibliotekanauki.pl/articles/1340319.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
average cost optimality equation
strong average optimality
(discrete-time) Markov control processes
long-run average cost
weighted norms
Opis:
This paper shows the convergence of the value iteration (or successive approximations) algorithm for average cost (AC) Markov control processes on Borel spaces, with possibly unbounded cost, under appropriate hypotheses on weighted norms for the cost function and the transition law. It is also shown that the aforementioned convergence implies strong forms of AC-optimality and the existence of forecast horizons.
Źródło:
Applicationes Mathematicae; 1995-1996, 23, 2; 219-237
1233-7234
Pojawia się w:
Applicationes Mathematicae
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:
Numerically robust synthesis of discrete-time H[infinity] estimators based on dual J-lossless factorisations
Autorzy:
Suchomski, P.
Powiązania:
https://bibliotekanauki.pl/articles/970576.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
system dyskretno-czasowy
estymacja
filtr liniowy
równanie Riccatiego
metody numeryczne
discrete-time systems
state estimation
linear filters
Riccati equation
numerical methods
Opis:
An approach to the numerically reliable synthesis of the H[infinity] suboptimal state estimators for discretised continuous-time processes is presented. The approach is based on suitable dual J-lossless factorisations of chain-scattering representations of estimated processes. It is demonstrated that for a sufficiently small sampling period the standard forward shift operator techniques may become ill-conditioned and numerical robustness of the design procedures can be significantly improved by employing the so-called delta operator models of the process. State-space models of all H[infinity] sub-optimal estimators are obtained by considering the suitable delta-domain algebraic Riccati equation and the corresponding generalised eigenproblem formulation. A relative condition number of this equation is used as a measure of its numerical conditioning. Both regular problems concerning models having no zeros on the boundary of the delta-domain stability region and irregular (non-standard) problems of models with such zeros are examined. For the first case, an approach based on a dual J-lossless factorisation is proposed while in the second case an extended dual J-lossless factorisation based on a zero compensator technique s required. Two numerical examples are given to illustrate some properties of the considered delta-domain approach.
Źródło:
Control and Cybernetics; 2003, 32, 4; 761-802
0324-8569
Pojawia się w:
Control and Cybernetics
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:
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:
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:
Generalized method of Lie-algebraic discrete approximations for solving Cauchy problems with evolution equation
Autorzy:
Kindybaliuk, A.
Powiązania:
https://bibliotekanauki.pl/articles/122439.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized method of Lie-algebraic discrete approximations
dynamical systems
evolution equation
finite dimensional quasi representation
approximations
Lagrange’s polynomial
factorial convergence
układy dynamiczne
aproksymacje
wielomian Lagrange'a
Opis:
We consider solving the Cauchy problem with an abstract linear evolution equation by means of the Generalized Method of Lie-algebraic discrete approximations. Discretization of the equation is performed by all variables in equation and leads to a factorial rate of convergence if Lagrange interpolation is used for building quasi representation of differential operator. The rank of a finite dimensional operator and approximation properties have been determined. Error estimations and the factorial rate of convergence have been proved.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 51-62
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
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:
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:
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 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:
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
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:
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

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