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Tytuł:
Continuous solutions of iterative equations of infinite order
Autorzy:
Kapica, R.
Morawiec, J.
Powiązania:
https://bibliotekanauki.pl/articles/255177.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
random-valued vector functions
sequences of iterates
iterative equations
continuous solutions
Opis:
Given a probability space (Ω, A, P) and a complete separable metric space X, we consider R continuous and bounded solutions φ: X → R of the equations φ (x) = ∫Ω φ(ƒ(x, ω)) P(dω) and φ(x) = 1 - ∫Ωφ(ƒ(x, ω)) P(dω), assuming that the given function ƒ : X x Ω → X is controlled by a random variable L: Ω → (0, ∞) with -∞ < ∫Ω log L (ω) P (dω) < 0. An application to a refinement type equation is also presented.
Źródło:
Opuscula Mathematica; 2009, 29, 2; 147-155
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distribution of values of Hecke characters of infinite order
Autorzy:
Rajan, C.
Powiązania:
https://bibliotekanauki.pl/articles/1390724.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.
Źródło:
Acta Arithmetica; 1998, 85, 3; 279-291
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal control of infinite order hyperbolic systems with time delays
Autorzy:
Kowalewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/929954.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie czasooptymalne
systemy hyperboliczne
opóźnienie czasowe
time-optimal control
infinite order
hyperbolic systems
time delays
Opis:
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 597-608
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on inductive limit model of Bargmann space of infinite order
Autorzy:
Stochel, J.
Powiązania:
https://bibliotekanauki.pl/articles/255113.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
Bargmann space
creation operator
annihilation operator
inductive limit
Opis:
It is shown that the generalized creation and annihilation operators on Bargmann space of infinite order in a direction a = (a1, a2, ...) mem l2 are inductive limits of the creation and annihilation operator acting on Bargmann space on n-th order.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 139-148
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal boundary control of an infinite order parabolic system with time lags
Autorzy:
Kowalewski, A.
Krakowiak, A.
Powiązania:
https://bibliotekanauki.pl/articles/907944.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie optymalne
sterowanie czasooptymalne
system paraboliczny
opóźnienie
rząd nieskończony
time-optimal boundary control
infinite order
parabolic system
time lags
Opis:
In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 2; 189-198
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The order of normalform hypersubstitutions of type (2)
Autorzy:
Denecke, Klaus
Mahdavi, Kazem
Powiązania:
https://bibliotekanauki.pl/articles/728816.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hypersubstitutions
terms
idempotent elements
elements of infinite order
Opis:
In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 183-192
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal Problems for Infinite Order Parabolic Systems with Boundary Conditions Involving Integral Time Lags
Problemy ekstremalne dla parabolicznych systemów nieskończonego rzędu z warunkami brzegowymi, w których występują całkowe opóźnienia czasowe
Autorzy:
Kowalewski, Adam
Miśkowicz, Marek
Powiązania:
https://bibliotekanauki.pl/articles/2174238.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
boundary control
infinite order parabolic systems
integral time lags
sterowanie brzegowe
systemy paraboliczne nieskończonego rzędu
całkowe opóźnienia czasowe
Opis:
Extremal problems for integral time lag infinite order parabolic systems are studied in the paper. An optimal boundary control problem for distributed infinite order parabolic systems in which integral time lags appear in the Neumann boundary conditions is solved. Such equations constitute in a linear approximation a universal mathematical model for many diffusion processes (e.g., modeling and control of heat transfer processes). The time horizon is fixed. Using the Dubovicki-Milutin framework, the necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance indexes and constrained control are derived.
Zaprezentowano ekstremalne problemy dla systemów parabolicznych nieskończonego rzędu z całkowymi opóźnieniami czasowymi. Rozwiązano problem optymalnego sterowania brzegowego dla systemów parabolicznych nieskończonego rzędu, w których całkowe opóźnienia czasowe występują w warunkach brzegowych Neumanna. Tego rodzaju równania stanowią w liniowym przybliżeniu uniwersalny model matematyczny dla procesów dyfuzyjnych. Korzystając z metody Dubowickiego-Milutina wyprowadzono warunki konieczne i wystarczające optymalności dla problemu liniowo-kwadratowego.
Źródło:
Pomiary Automatyka Robotyka; 2022, 26, 4; 37--42
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate controllability of second order infinite dimensional systems
Autorzy:
Klamka, Jerzy
Khurshudyan, Asatur Zh.
Powiązania:
https://bibliotekanauki.pl/articles/1409079.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
infinite dimensional systems
approximate controllability
Green’s function approach
flexible Kirchhoff–Love plate
Opis:
In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed.
Źródło:
Archives of Control Sciences; 2021, 31, 1; 165-184
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of second order infinite dimensional dynamical systems with delays
Autorzy:
Respondek, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/764445.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Źródło:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica; 2008, 8, 2
1732-1360
2083-3628
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of second order infinite dimensional dynamical systems with delays
Autorzy:
Respondek, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/764527.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Źródło:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica; 2008, 8, 1
1732-1360
2083-3628
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calculus of second-order subdifferentials in infinite dimensions
Autorzy:
Morduhovic, B.
Powiązania:
https://bibliotekanauki.pl/articles/206792.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analiza wariacyjna
przestrzeń Banacha i Asplunda
Banach and Asplund spaces
nonsmooth functions
second-order subdifferentials
sum and chain rules
variatioual analysis
Opis:
We study two types of second-order subdifferentials of extended-real-valued functions on Banach spaces that are important for applications in variational analysis, especially to sensitivity issues and second-order optimality conditions. The main concern of the paper is to derive extended sum and chain rules for these subdifferentials in the case of Asplund and general Banach spaces, which provide the basis for further theory and applications.
Źródło:
Control and Cybernetics; 2002, 31, 3; 557-573
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
Autorzy:
Guendouzi, Toufik
Powiązania:
https://bibliotekanauki.pl/articles/729324.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
existence result
approximate controllability
fractional stochastic differential equations
resolvent operators
infinite delay
Opis:
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 65-87
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order evolution differential functional equations with infinite delay
Autorzy:
Człapiński, Tomasz
Karpowicz, Adrian
Powiązania:
https://bibliotekanauki.pl/articles/962858.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Measure of noncompactness
second order evolution equation
infinite delay
Opis:
We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.
Źródło:
Commentationes Mathematicae; 2018, 58, 1-2; 93-104
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
Autorzy:
Ke, Tran
Obukhovskii, Valeri
Wong, Ngai-Ching
Yao, Jen-Chih
Powiązania:
https://bibliotekanauki.pl/articles/729357.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Cauchy problem
functional differential inclusion
infinite delay
higher order
existence family
phase space
fixed point
multivalued map
measure of noncompactness
condensing map
Opis:
The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 199-229
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A non integer order, state space model for one dimensional heat transfer proces
Autorzy:
Oprzedkiewicz, K.
Gawin, E.
Powiązania:
https://bibliotekanauki.pl/articles/229619.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-integer order systems
heat transfer process
diffusion equation
infinite dimensional systems
Opis:
In the paper a new, state space, non integer order model for one dimensional heat transfer process is presented. The model is based on known semigroup model. The derivative with respect to time is described by the non integer order Caputo operator, the spatial derivative is described by integer order operator. The elementary properties of the state operator are proven. The solution of state equation is calculated with the use of Laplace transform. Results of experiments show, that the proposed model is more accurate than analogical integer order model in the sense of square cost function.
Źródło:
Archives of Control Sciences; 2016, 26, 2; 261-275
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non integer order, state space model of heat transfer process using Atangana-Baleanu operator
Autorzy:
Oprzędkiewicz, K.
Powiązania:
https://bibliotekanauki.pl/articles/202078.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non integer order systems
heat transfer equation
infinite dimensional systems
fractional order state equation
Riesz operator
Caputo operator
Atangana-Baleanu operator
Opis:
In the paper a new, state space, non integer order model of an one-dimensional heat transfer process is proposed. The model uses a new operator with Mittag-Leffler kernel, proposed by Atangana and Beleanu. The non integer order spatial derivative is expressed by Riesz operator. Analytical formula of the step response is given, the convergence of the model is discussed too. Theoretical results are verified by experiments.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 1; 43-50
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wear cumulating process for friction pair implemented by first order recurrences
Autorzy:
Wierzcholski, K.
Powiązania:
https://bibliotekanauki.pl/articles/245033.pdf
Data publikacji:
2014
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
cumulative wear values
operation after finite and infinite time units
first order recurrence implementation
variable coefficients after experiments
Opis:
Wear determination engages a major part of our efforts in considered numerous tribology problems including animal teeth and joints, human joints, cams, piston, rings, tires, brakes, dirt seals, belts, shoes, fabrics, electrical contacts, tape and CD reader heads and others. At times it seems after numerous observation, that the rate of progress in the knowledge of wear is very slow. Modern design activities are mostly concern in the wear cumulative values determination rather than the wear values determination in successive time units of friction nods during the operation time. Therefore, presented paper determines in analytical way the cumulative wear values of friction nods after specified finite and infinite units of operation time. Therefore are considered the convergences and divergences of wear value cumulative processes for various friction nods. The kind of friction nods depends on type of wear process propagation. Such propagation is described in this paper by the recurrence first order equation. Mentioned equation is formulated with constant or variable parameters. This parameters are determined by virtue of experimental measurements and depend on: bearing materials properties, environmental conditions, roughness of cooperating surfaces, vibration effects, electrical conductivity of materials, hardness of materials, deformations mode of cooperating surfaces, temperature, air humidity, kind of the friction, sliding velocity, loading of the friction nod and others. The range of wearing influence components and devices is endless. Therefore, this paper presents the methods of solutions of numerous specific class of ordinary non-homogeneous recurrence equations of first order with variable coefficients occurring in hydrodynamic theory of bearing especially micro-bearing wear problems. The obtained solutions are examined by means of the UOS operator. The examples presented in this paper determine the abrasive wear cumulative values of micro-bearing system after the indicated time units of operating time. Moreover, after infinite time units of micro-bearing operation are considered the convergences and divergences of the obtained sums of cumulative wear process.
Źródło:
Journal of KONES; 2014, 21, 1; 287-294
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On controllability of second order dynamical systems – a survey
Autorzy:
Klamka, J.
Wyrwał, J.
Zawiski, R.
Powiązania:
https://bibliotekanauki.pl/articles/202359.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
exact controllability
approximate controllability
second-order dynamical systems
infinite dimensional systems
semilinear systems
sterowalność
układ nieskończenie wymiarowy
system półliniowy
Opis:
The paper presents a survey of recent results in the area of controllability of second order dynamical systems. Controllability problem for finite and infinite dimensional, linear, semilinear, deterministic and stochastic dynamical systems (with delays and undelayed) is taken into consideration. Different types of controllability are discussed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 3; 279-295
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control problem for infinite variables hyperbolic systems with time lags
Autorzy:
Bahaa, G. M.
Tharwat, M. M.
Powiązania:
https://bibliotekanauki.pl/articles/229952.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal control
hyperbolic system
time delay
distributed control problems
Neumann conditions
existence and uniqueness of solutions
second order operator with an infinite number of variables
Opis:
In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 373-393
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator
Autorzy:
Oprzędkiewicz, K.
Powiązania:
https://bibliotekanauki.pl/articles/201464.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-integer order systems
heat transfer equation
infinite dimensional systems
fractional order state equation
Riesz operator
Caputo operator
Caputo-Fabrizio operator
systemy niecałkowitego rzędu
układ niecałkowitego rzędu
twierdzenie Riesza
pochodna Caputo
Opis:
The paper is intended to show a new state space, non integer order model of an one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space semigroup model. The fractional order derivative with respect to time is by a new operator proposed by Caputo and Fabrizio, the non integer order spatial derivative is expressed by Riesz operator. The Caputo-Fabrizio operator can be directly implementated using MATLAB, because it does not require us to apply any approximation. Analytical formulae of step response are given, the system decomposition was discussed also. Main results from the paper show that the use of Caputo Fabrizio operator allows us to obtain the simple in implementation and analysis model of the considered heat transfer process. The accuracy of the proposed model in the sense of a MSE cost function is satisfying.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 3; 249-255
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process
Autorzy:
Oprzędkiewicz, K.
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/331055.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
noninteger order system
heat transfer equation
infinite dimensional system
continuous fraction expansion
układ niecałkowitego rzędu
wymiana ciepła
układ nieskończenie wymiarowy
Opis:
A new, state space, discrete-time, and memory-efficient model of a one-dimensional heat transfer process is proposed. The model is derived directly from a time-continuous, state-space semigroup one. Its discrete version is obtained via a continuous fraction expansion method applied to the solution of the state equation. Fundamental properties of the proposed model, such as decomposition, stability, accuracy and convergence, are also discussed. Results of experiments show that the model yields good accuracy in the sense of the mean square error, and its size is significantly smaller than that of the model employing the well-known power series expansion approximation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 649-659
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
Autorzy:
Benchohra, Mouffak
Górniewicz, Lech
Ntouyas, Sotiris
Powiązania:
https://bibliotekanauki.pl/articles/729314.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
controllability
mild solution
evolution
fixed point
Opis:
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 261-282
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling heat distribution with the use of a non-integer order, state space model
Autorzy:
Oprzędkiewicz, K.
Gawin, E.
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/330227.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
non-integer order system
heat transfer equation
infinite dimensional system
Feller semigroups
układ niecałkowitego rzędu
wymiana ciepła
układ nieskończenie wymiarowy
Opis:
A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 749-756
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 26

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