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Tytuł:
Recent Developments in Theory of Positive Discrete-Time Linear Systems with Delays - Rechability, Minimum Energy Control and Realization Problem
Wybrane nowe wyniki w teorii liniowych dodatnich układów dyskretnych z opóźnieniami - osiągalność, sterowanie z minimalną energią i problem realizacji
Autorzy:
Kaczorek, T.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/158185.pdf
Data publikacji:
2004
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
linear systems
Opis:
Notion of the positive linear discrete-time
W pracy podano warunki, jakie musi spełniać dyskretny
Źródło:
Pomiary Automatyka Kontrola; 2004, R. 50, nr 10, 10; 12-15
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for robust stability of positive discrete-time linear systems with delays
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/970235.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability
robust stability
linear system
delays
linear uncertainty
interval system
Opis:
The paper is devoted to the problem of robust stability of positive linear discrete-time systems with delays in the case of structured perturbations of state matrices. Simple new necessary and sufficient conditions for robust stability in the general case and in the case of system with linear uncertainty structure are established for two sub-cases: 1) unity rank uncertainty structure, 2) non-negative perturbation matrices. It is shown that robust stability of the positive discrete-time linear system with delays is equivalent to: 1) robust stability of the corresponding positive system without delays of the same order as time-delay system - in the general case, 2) asymptotic stability of finite family of the positive vertex systems without delays - in the case of a linear unity rank uncertainty structure, 3) asymptotic stability of only one positive vertex system without delays - in the case of a linear uncertainty structure with non-negative perturbation matrices.
Źródło:
Control and Cybernetics; 2010, 39, 4; 1159-1171
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/201343.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
continuous-time
fractional
stability
Mikhailov criterion
Opis:
The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the general case is based on the Argument Principle and it is similar to the modified Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 2; 279-284
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for robust stability of linear positive discrete-time systems with one delay
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384312.pdf
Data publikacji:
2008
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
robust stability
linear system
positive
discrete-time
delay
Opis:
Simple new necessary and sufficient conditions for robust stability of the positive linear discrete-time systems with one delay in the general case and in the two special cases: 1) linear unity rank uncertainty structure, 2) linear uncertainty structure with non-negative perturbation matrices, are established. The conditions are based on the new simple criterion for asymptotic stability of the positive linear discrete-time systems with one delay, proved in the paper. The considerations are illustrated by numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2008, 2, 2; 18-22
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems
Autorzy:
Kaczorek, T.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384856.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
linear system
fractional
continuous-time
positive
pointwise completeness
Opis:
A dynamical system described by homogeneous equation is called pointwise complete if every final state can be reached by suitable choice of the initial state. The system which is not pointwise complete is called pointwise degenerated. Definitions and necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of continuous-time linear systems of fractional order, standard and positive, are given. It is shown that: 1) the standard fractional system is always pointwise complete; 2) the positive fractional system is pointwise complete if and only if the state matrix is diagonal.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 8-11
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of linear continuous-time fractional systems of commensurate order
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384871.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
stability
linear system
continuous-time
fractional
commensurate order
Opis:
The paper considers the stability problem of linear time-invariant continuous-time systems of fractional commensurate order. It is shown that the system is stable if and only if plot of rational function of fractional order, called as the generalised modified Mikhailov plot, and does not encircle the origin of the complex plane. The considerations are illustrated by numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 12-17
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer aided methods for stability analysis of 2D linear systems described by the first Fornasini-Marchesini model
Autorzy:
Ruszewski, A.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384998.pdf
Data publikacji:
2014
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
2D system
linear, discrete
stability
computational method
Opis:
Computer aided methods for investigation of the asymptotic stability of 2D discrete linear systems described by the first Fornasini-Marchesini model are given. The methods require computation of eigenvalues of complex matrices or values of complex functions. Effectiveness of the stability tests are demonstrated on numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2014, 8, 2; 3-8
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust stability of positive continuous-time linear systems with delays
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/908143.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
czas ciągły
system liniowy
opóźnienie
stabilność odporna
niepewność liniowa
positive continuous-time linear system
delay
robust stability
linear uncertainty
interval system
Opis:
The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 665-670
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems
Autorzy:
Busłowicz, M.
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/201743.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
discrete-time
fractional
practical stability
asymptotic stability
Opis:
In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems are addressed. Necessary and sufficient conditions for practical stability and for asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix of the system. In particular, it is shown that (similarly as in the case of fractional continuous-time linear systems) in the complex plane exists such a region, that location of all eigenvalues of the state matrix in this region is necessary and sufficient for asymptotic stability. The parametric description of boundary of this region is given. Moreover, it is shown that Schur stability of the state matrix (all eigenvalues have absolute values less than 1) is not necessary nor sufficient for asymptotic stability of the fractional discrete-time system. The considerations are illustrated by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 4; 779-786
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple analytic conditions for stability of fractional discrete-time linear systems with diagonal state matrix
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/201685.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
discrete-time
fractional
practical stability
asymptotic stability
Opis:
In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems with a diagonal state matrix are addressed. Standard and positive systems are considered. Simple necessary and sufficient analytic conditions for practical stability and for asymptotic stability are established. The considerations are illustrated by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 4; 809-814
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computational methods for investigation of stability of models of 2D continuous-discrete linear systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/384990.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
continuous-discrete system
hybrid system
linear system
stability
computational methods
Opis:
The problem of asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of asymptotic stability of the Fornasini-Marchesini type and the Roesser type models, are given. The methods proposed require computation of the eigenvalue-loci of complex matrices. Effectiveness of the stability tests are demonstrated on numerical examples.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2011, 5, 1; 3-7
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust stability of a class of uncertain fractional order linear systems with pure delay
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/229707.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
fractional
continuous-time
pure delay
robust stability
interval matrix
Opis:
The paper considers the robust stability problem of uncertain continuous-time fractional order linear systems with pure delay in the following two cases: a) the state matrix is a linear convex combination of two known constant matrices, b) the state matrix is an interval matrix. It is shown that the system is robustly stable if and only if all the eigenvalues of the state matrix multiplied by delay in power equal to fractional order are located in the open stability region in the complex plane. Parametric description of boundary of this region is derived. In the case a) the necessary and sufficient computational condition for robust stability is established. This condition is given in terms of eigenvalue-loci of the state matrix, fractional order and time delay. In the case b) the method for determining the rectangle with sides parallel to the axes of the complex plane in which all the eigenvalues of interval matrix are located is given and the sufficient condition for robust stability is proposed. This condition is satisfied if the rectangle multiplied by delay in power equal to fractional order lie in the stability region. The considerations are illustrated by numerical examples.
Źródło:
Archives of Control Sciences; 2015, 25, 2; 177-187
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability, reachability and minimum energy control of fractional discrete-time linear systems with multiple delays in state
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/200470.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear systems
fractional
discrete-time
time-delay
controllability
reachability
minimum energy control
Opis:
In the paper the problems of controllability, reachability and minimum energy control of a fractional discrete-time linear system with delays in state are addressed. A general form of solution of the state equation of the system is given and necessary and sufficient conditions for controllability, reachability and minimum energy control are established. The problems are considered for systems with unbounded and bounded inputs. The considerations are illustrated by numerical examples. Influence of a value of the fractional order on an optimal value of the performance index of the minimum energy control is examined on an example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 233-239
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Odporna stabilność rodziny wielomianów niecałkowitego stopnia o współczynnikach wieloliniowo zależnych od niepewnych parametrów
Robust stability of familly of fractional degree polynomials with coeficients multilinary dependent on uncertain parameters
Autorzy:
Kalinowski, T.
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/277397.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
liniowe układy niecałkowitego rzędu
odporna stabilność
linear fractional order systems
robust stability
Opis:
W pracy rozpatrzono problem odpornej stabilności rodzin wielomianów charakterystycznych niecałkowitego stopnia, których współczynniki zależą wieloliniowo od niepewnych parametrów. Podano komputerowe metody badania odpornej stabilności. Proponowane metody bazują na warunku wykluczenia zera i na twierdzeniu o odwzorowaniu, znanych z teorii odpornej stabilności rodzin wielomianów całkowitych stopni. Rozważania zilustrowano przykładem.
The paper considers the problem of robust stability of families of fractional degree characteristic polynomials with coefficients multilinearly dependent on uncertain parameters. Computer methods for checking of robust stability are given. The methods proposed are based on the Zero Exclusion Condition and on the Mapping Theorem known from the theory of robust stability of families of natural degree polynomials. The considerations are illustrated by example.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 576-585
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability conditions for linear continuous-time fractional-order state-delayed systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/200015.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
fractional
continuous-time
state delay
asymptotic stability
systemy liniowe
stabilność asymptotyczna
opóźnienie czasowe
Opis:
The stability problem of continuous-time linear fractional order systems with state delay is considered. New simple necessary and sufficient conditions for the asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix and time delay. It is shown that in the complex plane there exists such a region that location in this region of all eigenvalues of the state matrix multiplied by delay in power equal to the fractional order is necessary and sufficient for the asymptotic stability. Parametric description of boundary of this region is derived and simple new analytic necessary and sufficient conditions for the stability are given. Moreover, it is shown that the stability of the fractional order system without delay is necessary for the stability of this system with delay. The considerations are illustrated by a numerical example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 3-7
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 20

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