Advanced search ?

Object

Modeling heat distribution with the use of a non-integer order, state space model

Download

Title: Modeling heat distribution with the use of a non-integer order, state space model

Creator:

Oprzędkiewicz, Krzysztof ; Gawin, Edyta ; Mitkowski, Wojciech (1946- )

Resource Type:

artykuł

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, Volume 26 (2016)

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:79207

DOI:

10.1515/amcs-2016-0052

Pages:

749-756

Source:

AMCS, volume 26, number 4 (2016) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

non-integer order systems heat transfer equation infinite dimensional systems Feller semigroups

Object collections:

Last modified:

Dec 3, 2024

In our library since:

May 22, 2024

Number of object content hits:

46

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/89040

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
Modeling heat distribution with the use of a non-integer order, state space model Dec 3, 2024

Objects

Similar
AMCS, volume 13 (2003)
AMCS, volume 13 (2003)

Different models of chemotherapy taking into account drug resistance stemming from gene amplification

Śmieja, Jarosław Świerniak, Andrzej (1950- ) Kimmel, Marek - red. Lachowicz, Mirosław - red. Świerniak, Andrzej - red.

2003
artykuł
AMCS, volume 13 (2003)
AMCS, volume 13 (2003)

Adaptive compensators for perturbed positive infinite-dimensional systems

Curtain, Ruth F. Demetriou, Michael A. Ito, Kazufumi Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2003
artykuł
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

Circle criterion and boundary control systems in factor form: Input-output approach

Grabowski, Piotr Callier, Frank M. Curtain, Ruth - ed. Kaashoek, Rien - ed.

2001
artykuł
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

Motion planning, equivalence, infinite dimensional systems

Rouchon, Pierre Fliess, Michel - ed. Jai, Abdelhaq El - ed.

2001
artykuł
AMCS, volume 9 (1999)
AMCS, volume 9 (1999)

Constrained controllability of dynamic systems

Klamka, Jerzy (1944- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

1999
artykuł
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

Exact observability of diagonal systems with a one-dimensional output operator

Jacob, Birgit Zwart, Hans Curtain, Ruth - ed. Kaashoek, Rien - ed.

2001
artykuł
AMCS, Volume 15 (2005)
AMCS, Volume 15 (2005)

An observability problem for a class of uncertain-parameter linear dynamic systems

Oprzędkiewicz, Krzysztof Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2005
artykuł
AMCS, volume 13 (2003)
AMCS, volume 13 (2003)

Remarks about energy transfer in an RC ladder network

Mitkowski, Wojciech (1946- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2003
artykuł
More

Contact details

Address

University Library
al. Wojska Polskiego 71
65-762 Zielona Góra

Phone

(+48) 68 328 21 55

E-Mail

repozytorium@uz.zgora.pl

Visit us!

This page uses 'cookies'. More information