Temat: linear - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Singular fractional discrete-time linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/206067.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: decomposition
singular
fractional
linear system
solution
Opis:: A new class of singular fractional linear discretetime systems is introduced. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional linear systems is derived. The considerations are illustrated by numerical examples.
Źródło:: Control and Cybernetics; 2011, 40, 3; 753-761
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Positive fractional 2D continuous-discrete linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/200029.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: positive
fractional
linear
continuous-discrete
system
solution
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 4; 575-579
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Reachability of fractional positive continuous-time linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/384883.pdf
Data publikacji:: 2009
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: fractional
positive
continuous-time
linear
system
reachability
Opis:: A new class of fractional linear continuous-time linear systems described by the state equation is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of the fractional systems. Sufficient conditions are given for the reachability of the fractional positive systems.
Źródło:: Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 1; 3-7
1897-8649
2080-2145
Pojawia się w:: Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Analysis of the pointwise completeness and the pointwise degeneracy of the standard and fractional descriptor linear systems and electrical circuits
Autorzy:: Kaczorek, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/27309779.pdf
Data publikacji:: 2023
Wydawca:: Uniwersytet Technologiczno-Humanistyczny im. Kazimierza Pułaskiego w Radomiu
Tematy:: descriptor
fractional
linear
electrical circuit
Drazin inverse
Opis:: The Drazin inverse of matrices is applied to analysis of the pointwise completeness and the pointwise degeneracy of the descriptor standard and fractional linear continuous-time and discrete-time systems. It is shown that: 1) The descriptor linear continuous-time system is pointwise complete if and only if the initial and final states belong to the same subspace. 2) The descriptor linear discrete-time system is not pointwise complete if its system matrix is singular. 3) System obtained by discretization of continuous-time system is always not pointwise complete. 4) The descriptor linear continuous-time system is not pointwise degenerated in any nonzero direction for all nonzero initial conditions. 5) The descriptor fractional system is pointwise complete if the matrix defined by (36) is invertible. 6) The descriptor fractional system is pointwise degenerated if and only if the condition (41) is satisfied. Considerations are illustrated by examples of descriptor linear electrical circuits.
Źródło:: Journal of Automation, Electronics and Electrical Engineering; 2023, 5, 1; 21--34
2658-2058
2719-2954
Pojawia się w:: Journal of Automation, Electronics and Electrical Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/386767.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: characteristic equation
standard
descriptor
fractional
linear
electrical circuit
Opis:: The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders is addressed. It is shown that the characteristic equations of standard and descriptor linear electrical circuits are independent of the method used in their analysis: the state space method, the mesh method and the node method. The considerations are illustrated by examples of standard and fractional linear electrical circuits.
Źródło:: Acta Mechanica et Automatica; 2018, 12, 3; 209-216
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

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

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Skocz do pozycji: 7.

Tytuł:: Stability of positive fractional switched continuous-time linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/201380.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional
positive
switched
linear
asymptotic stability
continuous-time
Opis:: The asymptotic stability of positive fractional switched continuous-time linear systems for any switching is addressed. Simple sufficient conditions for the asymptotic stability of the positive fractional systems are established. It is shown that the positive fractional switched systems are asymptotically stable for any switchings if the sum of entries of every column of the matrices of all subsystems is negative.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 349-352
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

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

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Skocz do pozycji: 9.

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

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Skocz do pozycji: 10.

Tytuł:: Zeroing of state variables in fractional descriptor electrical circuits by state-feedbacks
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/140553.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional
descriptor
linear
electrical circuit
state-feedbacks
zeroing
Opis:: The problem of zeroing of the state variables in fractional descriptor electrical circuits by state-feedbacks is formulated and solved. Necessary and sufficient conditions for the existence of gain matrices such that the state variables of closed-loop systems are zero for time greater zero are established. The procedure of choice of the gain matrices is demonstrated on simple descriptor electrical circuits with regular pencils.
Źródło:: Archives of Electrical Engineering; 2014, 63, 3; 321-333
1427-4221
2300-2506
Pojawia się w:: Archives of Electrical Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: Stabilization of fractional positive continuous-time linear systems with delays in sectors of left half complex plane by state-feedbacks
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/969916.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: fractional
positive
continuous-time
linear
system
state-feedback
stabilization
Opis:: The problem of stabilization of fractional positive linear continuous-time linear systems with delays by state-feedbacks is addressed. The gain matrix of the state feedback is chosen so that the zeros of the closed-loop polynomial are located in a sector of the left half of complex plane. Necessary and sufficient conditions for the solvability of the problem are established and a procedure for computation of a gain matrix of the feedback is proposed. The considerations are illustrated by a numerical example.
Źródło:: Control and Cybernetics; 2010, 39, 3; 783-795
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: Positive fractional continuous-time linear systems with singular pencils
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/201013.pdf
Data publikacji:: 2012
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: positive
fractional
descriptor
continuous-time
linear
system
singular pencil
Opis:: A method for checking the positivity and finding the solution to the positive fractional descriptor continuous-time linear systems with singular pencils is proposed. The method is based on elementary row and column operations of the fractional descriptor systems to equivalent standard systems with some algebraic constraints on state variables and inputs. Necessary and sufficient conditions for the positivity of the fractional descriptor systems are established.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 1; 9-12
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

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

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Skocz do pozycji: 14.

Tytuł:: Relationship between the observability of standard and fractional linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/230092.pdf
Data publikacji:: 2017
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional
standard
linear
discrete-time
continuous-time
system
observability
Opis:: The relationship between the observability of standard and fractional discrete-time and continuous-time linear systems are addressed. It is shown that the fractional discrete-time and continuous-time linear systems are observable if and only if the standard discrete-time and continuous-time linear systems are observable.
Źródło:: Archives of Control Sciences; 2017, 27, 3; 441-451
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Analysis of positive and stable fractional continuous-time linear systems by the use of Caputo Fabrizio derivative
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/205676.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: analysis
Caputo-Fabrizio deﬁnition
fractional
linear
positivity
stability
system
Opis:: Using the Caputo-Fabrizio deﬁnition of fractional order derivative, the positivity and asymptotic stability of the fractional continuous-time linear systems are investigated. The solution to the matrix fractional diﬀerential state equations is derived. Necessary and suﬃcient conditions for the positivity and asymptotic stability of the fractional linear systems are established. Tests for checking of the asymptotic stability of the systems are provided.
Źródło:: Control and Cybernetics; 2016, 45, 3; 289-299
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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