Temat: invariant - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A general solution to the output-zeroing problem for MIMO LTI systems
Autorzy:: Tokarzewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/907995.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: informatyka
linear multivariable systems
state-space methods
output-zeroing problem
invariant zeros
Opis:: The problem of zeroing the output in an arbitrary linear continuous-time system S(A,B,C,D) with a nonvanishing transfer function is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separately.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 161-171
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Zeros in Discrete-Time Mimo Lti Systems and the Output-Zeroing Problem
Autorzy:: Tokarzewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/911213.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: wielowymiarowy układ liniowy
system dyskretny
linear multivariable systems
discrete-time systems
invariant zeros
Davison-Wang definition
output-zeroing problem
Opis:: A geometric interpretation of invariant zeros of MIMO LTI discrete-time systems is provided. The zeros are treated as the triples: complex number, state zero direction, input zero direction. Such a treatment is strictly connected with the output zeroing problem and in that spirit the zeros can be easily interpreted even in the degenerate case (i.e. when each complex number constitutes an invariant zero). Simply, in the degenerate case, to each complex number we can assign an appropriate real initial condition and an appropriate real input sequence which produce a non-trivial solution to the state equation and a zero system response. Clearly, when zeros are treated merely as complex numbers, such an interpretation is impossible. The proposed definition of invariant zeros is compared with other commonly known definitions. It is shown that each Smith zero of the system matrix is also an invariant zero in the sense of the definition adopted in the paper. On the other hand, simple numerical examples show that the considered definition of invariant zeros and the Davison-Wang definition are not comparable. The output-zeroing problem for systems decouplable by state feedback is also described.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 537-557
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Zeros in linear systems with time delay in state
Autorzy:: Tokarzewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/929955.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: system liniowy
opóźnienie czasowe
opóźnienie w stanie
zera niezmienne
linear system
time delay in state
state-space methods
output-zeroing problem
invariant zeros
Opis:: The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 609-617
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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