Zobrazeno 1 - 10
of 584
pro vyhledávání: '"Kaczorek Tadeusz"'
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 34, Iss 3, Pp 341-348 (2024)
New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation
Externí odkaz:
https://doaj.org/article/3a31fc025cee4124b7546de71a9e2e52
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 33, Iss 4, Pp 513-519 (2023)
Controllability, observability and the transfer matrix of the discrete 2-D Roesser model are analyzed. It is shown that the controllability of the Roesser model is invariant under state feedbacks and the observability under output feedbacks. Sufficie
Externí odkaz:
https://doaj.org/article/9537e210be384b4d8ec1d6e86f8012cb
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 33, Iss 1, Pp 97-102 (2023)
Fractional time-invariant compartmental linear systems are introduced. Controllability and observability of these systems are analyzed. The eigenvalue assignment problem of compartmental linear systems is considered and illustrated with a numerical e
Externí odkaz:
https://doaj.org/article/c0025158cd6c44b1b679a50c9f25d916
Autor:
Kaczorek Tadeusz, Ruszewski Andrzej
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 32, Iss 1, Pp 5-10 (2022)
The global stability of discrete-time nonlinear systems with descriptor positive linear parts, positive scalar feedbacks and interval state matrices is addressed. Sufficient conditions for the global stability of this class of nonlinear systems are e
Externí odkaz:
https://doaj.org/article/c08d9e99dc114b49a33493343bcc9e5b
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 31, Iss 4, Pp 627-633 (2021)
The divisibility of the second-order minors of the numerators of transfer matrices by their minimal denominators for cyclic fractional linear systems is analyzed. It is shown that all nonzero second-order minors of the numerators of the transfer matr
Externí odkaz:
https://doaj.org/article/d9431956be134da89adff4a26103c4e2
Autor:
Kaczorek Tadeusz, Sajewski Łukasz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 4, Pp 641-647 (2020)
Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse. Necessary and sufficient conditions for the pointwise completeness and
Externí odkaz:
https://doaj.org/article/e0d85b212669478cbdc88efe7dbd0664
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 3, Pp 493-499 (2020)
The global (absolute) stability of nonlinear systems with fractional positive and not necessarily asymptotically stable linear parts and feedbacks is addressed. The characteristics u = f(e) of the nonlinear parts satisfy the condition k1e ≤ f(e)
Externí odkaz:
https://doaj.org/article/81b00ed6d49f49658425967390509445
Autor:
Kaczorek Tadeusz, Ruszewski Andrzej
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 2, Pp 219-223 (2020)
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complet
Externí odkaz:
https://doaj.org/article/89f8d216ca354df094041496d09d7254
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 29, Iss 2, Pp 305-310 (2019)
The positivity of fractional descriptor linear discrete-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear discrete-time s
Externí odkaz:
https://doaj.org/article/0770be12963641c28314340c427f75e2
Autor:
Kaczorek Tadeusz
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 29, Iss 1, Pp 93-98 (2019)
The positivity and absolute stability of a class of fractional nonlinear continuous-time and discrete-time systems are addressed. Necessary and sufficient conditions for the positivity of this class of nonlinear systems are established. Sufficient co
Externí odkaz:
https://doaj.org/article/789531b6e26247af919582a3c9fe6f81