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Wyszukujesz frazę "Infinite" wg kryterium: Temat


Tytuł:
Infinite Elementary Divisor Structure-Preserving Transformations for Polynomial Matrices
Autorzy:
Karampetakis, N. P.
Vologiannidis, S.
Powiązania:
https://bibliotekanauki.pl/articles/908103.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
equivalence
transformation
infinite elementary divisors
autoregressive representations
Opis:
The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the `polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 493-503
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Different Models of Chemotherapy Taking Into Account Drug Resistance Stemming from Gene Amplification
Autorzy:
Śmieja, J.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/908161.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
automatyka
biomedical modelling
infinite dimensional systems
multivariable control
Opis:
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension, can have any form, the other is infinite dimensional and tridiagonal. A methodology of the analysis of such models, based on system decomposition, is presented. An optimal control problem is defined in the l1 space. In order to derive necessary conditions for optimal control, the model description is transformed into an integro-differential form. Finally, biomedical implications of the obtained results are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 297-305
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive compensators for pertrubed positive real infinite-dimensional systems
Autorzy:
Curtain, R. F.
Demetriou, M. A.
Ito, K.
Powiązania:
https://bibliotekanauki.pl/articles/908105.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
infinite dimensional systems
positive real systems
adaptive controllers
Opis:
The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinite-dimensional plants having a known exogenous input and a structured perturbation with an unknown constant parameter, such as the case of static output feedback with an unknown gain. The adaptive observer uses the nominal dynamics of the unperturbed plant and an adaptation law based on the Lyapunov redesign method. We obtain conditions on the system to ensure uniform boundedness of the estimator dynamics and the parameter estimates, and the convergence of the estimator error. For the case of a known periodic exogenous input we design an adaptive compensator which forces the system to converge to a unique periodic solution. We illustrate our approach with a delay example and a diffusion example for which we obtain convincing numerical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 441-452
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908199.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
assignment
infinite eigenvalue
singular
polynomial matrix equation
system
reliationship
Opis:
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 161-167
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Circle criterion and boundary control systems in factor form: input-output approach
Autorzy:
Grabowski, P.
Callier, F. M.
Powiązania:
https://bibliotekanauki.pl/articles/908133.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ sterowania
przepływy międzygałęziowe
infinite dimensional control systems
semigroups
input-output relations
Opis:
A circle criterion is obtained for a SISO Lur'e feedback control system consisting of a nonlinear static sector-type controller and a linear boundary control system in factor form on an infinite-dimensional Hilbert state space H previously introduced by the authors (Grabowski and Callier, 1999). It is assumed for the latter that (a) the observation functional is infinite-time admissible, (b) the factor control vector satisfies a compatibility condition, and (c) the transfer function belongs to Hinfty(Pi+) and satisfies a frequency-domain inequality of the circle criterion type. We also require that the closed-loop system be well-posed, i.e. for any initial state x0in H the truncated input and output signals uT, yT belong to L2(0,T) for any T>0. The technique of the proof adapts Desoer-Vidyasagar's circle criterion method (Desoer and Vidyasagar, 1975, Ch.3, Secs.1 and 2, pp.37-43, Ch.5, Sec.2, pp.139-142 and Ch.6, Secs.3 and 4, pp.172-174]), and uses the input-output map developed by the authors (Grabowski and Callier, 2001). The results are illustrated by two transmission line examples: (a) that of the loaded distortionless RLCG type, and (b) that of the unloaded RC type. The conclusion contains a discussion on improving the results by the loop-transformation technique.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1387-1403
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite eigenvalue assignment by an output feedback for singular systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907319.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przyporządkowanie wartości własnych
sprzężenie zwrotne
układ singularny
infinite eigenvalue assignment
feedback
singular system
Opis:
The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 19-23
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Output Stabilization for Infinite-Dimensional Bilinear Systems
Autorzy:
Zerrik, E. H.
Ouzahra, M.
Powiązania:
https://bibliotekanauki.pl/articles/911139.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dwuliniowy nieskończony
stabilizacja wyjściowa
stabilizacja dziedzinowa
infinite bilinear systems
output stabilization
regional stabilization
Opis:
The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 187-195
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sturm-Liouville Systems Are Riesz-Spectral Systems
Autorzy:
Delattre, C.
Dochain, D.
Winkin, J.
Powiązania:
https://bibliotekanauki.pl/articles/908100.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
Sturm-Liouville system
Riesz-spectral system
infinite-dimensional state-space system
Co-semigroup
Opis:
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L2(a,b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 481-484
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Observability of Diagonal Systems With a One-Dimensional Output Operator
Autorzy:
Jacob, B.
Zwart, H.
Powiązania:
https://bibliotekanauki.pl/articles/908120.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
obserwator
równanie Lyapunova
infinite-dimensional systems
unbounded observation operator
exact observability
Hautus test
Lyapunov equations
Opis:
In this paper equivalent conditions for exact observability of diagonal systems with a one-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (1994). The other conditions are given in terms of the eigenvalues and the Fourier coefficients of the system data.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1277-1283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal control of infinite order hyperbolic systems with time delays
Autorzy:
Kowalewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/929954.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie czasooptymalne
systemy hyperboliczne
opóźnienie czasowe
time-optimal control
infinite order
hyperbolic systems
time delays
Opis:
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 597-608
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite-dimensional Sylvester equations: basic theory and application to observer design
Autorzy:
Emirsajłow, Z.
Powiązania:
https://bibliotekanauki.pl/articles/331453.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie nieskończenie wymiarowe
półgrupa złożona
obserwator stanu
infinite dimensional Sylvester equation
implemented semigroup
state observer design
Opis:
This paper develops a mathematical framework for the infinite-dimensional Sylvester equation both in the differential and the algebraic form. It uses the implemented semigroup concept as the main mathematical tool. This concept may be found in the literature on evolution equations occurring in mathematics and physics and is rather unknown in systems and control theories. But it is just systems and control theory where Sylvester equations widely appear, and for this reason we intend to give a mathematically rigorous introduction to the subject which is tailored to researchers and postgraduate students working on systems and control. This goal motivates the assumptions under which the results are developed. As an important example of applications we study the problem of designing an asymptotic state observer for a linear infinite dimensional control system with a bounded input operator and an unbounded output operator.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 245-257
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
Autorzy:
Vardulakis, A. I. G.
Karampetakis, N. P.
Antoniou, E. N.
Tictopoulou, E.
Powiązania:
https://bibliotekanauki.pl/articles/907853.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
macierz wielomianowa
nierozkładalność
przestrzeń stanu
polynomial matrices
realization theory
minimality
irreducibility
generalized state space
infinite decoupling zeros
Opis:
We review the realization theory of polynomial (transfer function) matrices via 'pure' generalized state space system models. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined and the mechanism of the 'cancellations' of 'decoupling zeros at infinity' is closely examined. The difference between the concepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matrices is pointed out and the associated concepts of dynamic and non-dynamic variables appearing in generalized state space realizations are also examined.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 77-88
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An infinite horizon predictive control algorithm based on multivariable input-output models
Autorzy:
Ławryńczuk, M.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/907410.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
horyzont nieskończony
programowanie kwadratowe
model predictive control
stability
infinite horizon
singular value decomposition
quadratic programming
Opis:
In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 167-180
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An advance in infinite graph models for the analysis of transportation networks
Autorzy:
Cera, M.
Fedriani, E. M.
Powiązania:
https://bibliotekanauki.pl/articles/330503.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
infinite graph
average degree
extremal problems
road transport network
percolation threshold
graf nieskończony
zagadnienie ekstremum
sieć transportowa
próg perkolacji
Opis:
This paper extends to infinite graphs the most general extremal issues, which are problems of determining the maximum number of edges of a graph not containing a given subgraph. It also relates the new results with the corresponding situations for the finite case. In particular, concepts from ‘finite’ graph theory, like the average degree and the extremal number, are generalized and computed for some specific cases. Finally, some applications of infinite graphs to the transportation of dangerous goods are presented; they involve the analysis of networks and percolation thresholds.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 855-869
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal boundary control of an infinite order parabolic system with time lags
Autorzy:
Kowalewski, A.
Krakowiak, A.
Powiązania:
https://bibliotekanauki.pl/articles/907944.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie optymalne
sterowanie czasooptymalne
system paraboliczny
opóźnienie
rząd nieskończony
time-optimal boundary control
infinite order
parabolic system
time lags
Opis:
In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 2; 189-198
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł

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