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Wyszukujesz frazę "positive linear system" wg kryterium: Temat


Tytuł:
Remarks on stability of positive linear systems
Autorzy:
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/205542.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algebra macierzy
dyskretny system sterowania
liniowy system sterowania
stabilność
teoria sterowania
asymptotic stability
continous time system
discrete-time system
feedback
matrix algebra
nonnegative matrices
positive linear systems
RC circuits
Opis:
Spectral properties of nonegative matrices are considered. Asymptotic stability and stabilisation problems of positive discrete-time and continous-time linear systems by feedbacks are discussed. The electric RC-networks are presented as examples of positive systems. Numerical calculations were made using the MATLAB program.
Źródło:
Control and Cybernetics; 2000, 29, 1; 295-304
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Externally and internally positive singular discrete-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907996.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
elektrotechnika
externally
internally
positive
singular
linear
system
Opis:
Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative), then it is not internally positive.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 197-202
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monomial Subdigraphs of Reachable and Controllable Positive Discrete-time Systems
Autorzy:
Bru, R.
Cacetta, L.
Rumchev, V. G.
Powiązania:
https://bibliotekanauki.pl/articles/908474.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
dodatni układ liniowy
osiągalność
sterowalność
struktura systemu
positive linear systems
reachability
controllability
system structure
monomial subdigraphs
Opis:
A generic structure of reachable and controllable positive linear systems is given in terms of some characteristic components (monomial subdigraphs) of the digraph of a non-negative a pair. The properties of monomial subdigraphs are examined and used to derive reachability and controllability criteria in a digraph form for the general case when the system matrix A may contain zero columns. The graph-theoretic nature of these criteria makes them computationally more efficient than their known equivalents. The criteria identify not only the reachability and controllability properties of positive linear systems, but also their reachable and controllable parts (subsystems) when the system does not possess such properties.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 159-166
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive partial realization problem for linear discrete-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/929624.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dodatni
istnienie
obliczanie
system liniowy
system dyskretno-czasowy
positive systems
partial realization
existence
computation
linear system
discrete-time systems
Opis:
A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 165-171
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reachability and controllability of positive fractional discrete-time systems with delay
Autorzy:
Trzasko, W.
Powiązania:
https://bibliotekanauki.pl/articles/950962.pdf
Data publikacji:
2008
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
fractional
positive discrete-time
linear system
reachability
controllability to zero
Opis:
In the paper the positive fractional discrete-time linear systems with delay described by the state equations are considered. The solution to the state equations is derived using the Z transform. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero for fractional systems with one delay in state. The considerations are illustrated by an example.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2008, 2, 3; 43-47
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
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:
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
Artykuł
Tytuł:
Simple conditions for practical stability of positive fractional discrete-time linear systems
Autorzy:
Busłowicz, M.
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907662.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
system dyskretno-czasowy
system ułamkowy
stateczność
stateczność praktyczna
linear system
positive
discrete-time
fractional
stability
practical stability
Opis:
In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 263-269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inverse systems of linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/141424.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
system odwrotny
system liniowy
system dodatni
osiągalność
stabilność
inverse system
linear system
positive system
reachability
stability
Opis:
The concept of inverse systems for standard and positive linear systems is introduced. Necessary and sufficient conditions for the existence of the positive inverse system for continuous-time and discrete-time linear systems are established. It is shown that: 1) The inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable. 2) The inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. 3) The inverse system of continuous-time and discrete-time linear systems are reachable if and only if the standard systems are reachable. The considerations are illustrated by numerical examples.
Źródło:
Archives of Electrical Engineering; 2010, 59, 3-4; 203-216
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
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:
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
Artykuł
Tytuł:
Computation of positive stable realizations for linear continuous-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/200186.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positive
stable
realization
system Metzler matrix
procedure
linear continuous-time
Opis:
Conditions for the existence of positive stable realizations with system Metzler matrices for proper transfer function are established. It is shown that there exists a proper stable realization of transfer function of second order if and only if the transfer function has real negative poles. Sufficient conditions for the existence of positive stable realizations of transfer function of third order are established. A method based on the decomposition of transfer functions into the first, second and third orders transfer functions for computation of positive stable realizations is proposed. A method for computation of positive stable realizations of transfer functions with real negative poles and zeros is given.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 3; 273-281
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New stability conditions for positive continuous-discrete 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907592.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dodatni
system liniowy
układ ciągło-dyskretny
positive systems
2D linear system
continuous-discrete systems
Opis:
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D linear systems are established. Necessary conditions for the stability are also given. The stability tests are demonstrated on numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 521-524
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł

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