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Wyświetlanie 1-15 z 102
Tytuł:
A new D-stability area for linear discrete-time systems
Autorzy:
Krokavec, Dušan
Filasová, Anna
Powiązania:
https://bibliotekanauki.pl/articles/229462.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time linear systems
state control
pole placement onstraints
D-stability region
linear matrix inequalities
polytopic uncertainties
Opis:
The paper addresses the problem of constrained pole placement in discrete-time linear systems. The design conditions are outlined in terms of linear matrix in equalities for the D-stable ellipse region in the complex Z plain. In addition, it is demonstrated that the D-stable circle region formulation is the special case of by this way formulated and solved pole placement problem. The proposed principle is enhanced for discrete-time linear systems with polytopic uncertainties.
Źródło:
Archives of Control Sciences; 2019, 29, 1; 5-23
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
Autorzy:
Abdelmalek, I.
Goléa, N.
Hadjili, M. L.
Powiązania:
https://bibliotekanauki.pl/articles/911242.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowe nierówności macierzowe
stabilizacja
funkcja Lapunowa
model Takagi-Sugeno
system rozmyty
T-S fuzzy systems
non-quadratic stability conditions
linear matrix inequalities
parallel distributed compensation
stabilization
Opis:
In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 39-51
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
Autorzy:
Zhai, G.
Xu, X.
Powiązania:
https://bibliotekanauki.pl/articles/907764.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ komutowany
układ deskrypcyjny
stabilność
komutacja dowolna
nierówność macierzy
LMI
switched linear descriptor systems
stability
arbitrary switching
linear matrix inequalities (LMIs)
common quadratic Lyapunov functions
Opis:
We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 249-259
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ADI-based, conditionally stable schemes for seismic P-wave and elastic wave propagation problems
Autorzy:
Łoś, Marcin
Behnoudfar, Pouria
Dobija, Mateusz
Paszyński, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/2173701.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
conditional stability
P-wave propagation problems
elastic wave propagation problems
linear computational cost
time-dependent simulations
stabilność warunkowa
problemy z propagacją fali P
problemy z propagacją fali sprężystej
koszt obliczeniowy liniowy
symulacje zależne od czasu
Opis:
The modeling of P-waves has essential applications in seismology. This is because the detection of the P-waves is the first warning sign of the incoming earthquake. Thus, P-wave detection is an important part of an earthquake monitoring system. In this paper, we introduce a linear computational cost simulator for three-dimensional simulations of P-waves. We also generalize our formulations and derivation for elastic wave propagation problems. We use the alternating direction method with isogeometric finite elements to simulate seismic P-wave and elastic propagation problems. We introduce intermediate time steps and separate our differential operator into a summation of the blocks, acting along the particular coordinate axis in the sub-steps. We show that the resulting problem matrix can be represented as a multiplication of three multi-diagonal matrices, each one with B-spline basis functions along the particular axis of the spatial system of coordinates. The resulting system of linear equations can be factorized in linear O (N) computational cost in every time step of the semi-implicit method. We use our method to simulate P-wave and elastic wave propagation problems. We derive the condition for the stability for seismic waves; namely, we show that the method is stable when τ < C min{ hx,hy,hz}, where C is a constant that depends on the PDE problem and also on the degree of splines used for the spatial approximation. We conclude our presentation with numerical results for seismic P-wave and elastic wave propagation problems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 5; art. no. e141985
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An observer-based control of linear systems with uncertain parameters
Autorzy:
Rachik, M.
Lhous, M.
Powiązania:
https://bibliotekanauki.pl/articles/229793.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
observer-based control
stability
uncertain linear systems
Opis:
In this paper, the observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for the system is studied and reduced-order observer is discussed. Numerical examples are given to illustrate obtained results.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 565-576
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An output sensitivity problem for a class of linear distributed systems with uncertain initial state
Autorzy:
Larrache, Abdelilah
Lhous, Mustapha
Rhila, Soukina Ben
Rachik, Mostafa
Tridane, Abdessamad
Powiązania:
https://bibliotekanauki.pl/articles/229238.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
distributed system
uncertain initial state
gain operators
observability
stability
linear programming
Opis:
In this paper,we consider an infinite dimensional linear systems. It is assumed that the initial state of system is not known throughout all the domain Ω C Rn, the initial state x0 ϵ L2(Ω) is supposed known on one part of the domain Ω and uncertain on the rest. That means Ω = ω1 U ω2 U... U ωt with ωi ∩ ωj = ∅, ∀i ≠ j ϵ {1,...,t}, i ≠ j where ωi ≠ ∅ and x0(θ) = αi for θ ϵ ωi, ∀i, i.e., x0(θ) = [wzór] (θ) where the values α1,...,αr are supposed known and αr+1,...,αt unknown and 1ωi is the indicator function. The uncertain part (α1,...,(α)rof the initial state x0 is said to be (ɛ1,...,ɛr )-admissible if the sensitivity of corresponding output signal (yi)i≥0 relatively to uncertainties (αk)1≤k≤r is less to the treshold ɛk, i.e., ∥∂yi)/(∂αk∥ ≤ ɛk, ∀i≥ 0, ∀k ϵ {1,...,r]. The main goal of this paper is to determine the set of all possible gain operators that makes the system insensitive to all uncertainties. The characterization of this set is investigated and an algorithmic determination of each gain operators is presented. Some examples are given.
Źródło:
Archives of Control Sciences; 2020, 30, 1; 139-155
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis and comparison of the stability of discrete-time and continuous-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229420.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
analysis
comparison
stability
discrete-time
continuous-time
linear system
Opis:
The asymptotic stability of discrete-time and continuous-time linear systems described by the equations xi+1 = Ākxi and x(t) = Akx(t) for k being integers and rational numbers is addressed. Necessary and sufficient conditions for the asymptotic stability of the systems are established. It is shown that: 1) the asymptotic stability of discrete-time systems depends only on the modules of the eigenvalues of matrix Āk and of the continuous-time systems depends only on phases of the eigenvalues of the matrix Ak, 2) the discrete-time systems are asymptotically stable for all admissible values of the discretization step if and only if the continuous-time systems are asymptotically stable, 3) the upper bound of the discretization step depends on the eigenvalues of the matrix A.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 551-563
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Analysis of positive linear continuous-time systems using the conformable derivative
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/331153.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
conformable fractional derivative
positive linear system
system stability
pochodna ułamkowa
układ liniowy dodatni
stabilność systemu
Opis:
Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 2; 335-340
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of positivity and stability of time-varying continuous-time linear systems and electrical circuits
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/97265.pdf
Data publikacji:
2015
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positive
linear
time-varying
system
electrical circuit
stability
Lyapunov method
test
Opis:
The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the system are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. The Lyapunov method is extended to positive nonlinear systems. Examples of positive electrical circuits are presented.
Źródło:
Computer Applications in Electrical Engineering; 2015, 13; 1-18
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the positivity and stability of linear electrical circuits with state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377717.pdf
Data publikacji:
2018
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positivity
stability
linear
electrical circuit
state-feedback
Opis:
The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2018, 93; 21-36
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of positive stable continuous-time linear systems by positive stable discrete-time systems
Aproksymacja dodatnich stabilnych ciągłych układów liniowych przez dodatnie stabilne układy dyskretne
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/276497.pdf
Data publikacji:
2013
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
aproksymacja
układ ciągły
dyskretny
dodatni
stabilny
approximation
continuous-time
discrete-time
linear positive system
stability
Opis:
The positive asymptotically stable continuous-time linear systems are approximated by positive asymptotically stable discretetime linear systems by the use of Pade type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. The stabilization problem of positive unstable continuous-time and corresponding discrete-time linear systems by state-feedbacks is also addressed.
Dodatnie układy stabilne ciągłe są aproksymowane za pomocą liniowej aproksymacji Pade dodatnimi, stabilnymi układami dyskretnymi. Wykazano, że aproksymacja ta zachowuje dodatniość i stabilność asymptotyczną. Rozważania ogólne zostały zilustrowane przykładem numerycznym.
Źródło:
Pomiary Automatyka Robotyka; 2013, 17, 2; 359-364
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of discrete linear fractional equations
Autorzy:
Anh, P. T.
Babiarz, A.
Czornik, A.
Niezabitowski, M.
Siegmund, S.
Powiązania:
https://bibliotekanauki.pl/articles/200917.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear discrete-time fractional systems
Caputo equation
Riemann-Liouville equation
Volterra convolution equation
stability
Opis:
In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 749-759
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Badanie stabilności liniowych układów ciągło-dyskretnych
Stability investigation of continuous-discrete linear systems
Autorzy:
Busłowicz, M.
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/277395.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
stabilność asymptotyczna
liniowe układy ciągło-dyskretne
model Fornasiniego-Marchesiniego
asymptotic stability
continuous-discrete linear systems
Fornasini-Marchesini model
Opis:
Rozpatrzono problem badania asymptotycznej stabilności liniowych układów ciągło-dyskretnych. Podano poprawioną komputerową metodę badania stabilności modelu typu Fornasiniego-Marchesiniego. Proponowana metoda może być wykorzystana do badania stabilności modeli innych typów liniowych układów ciągło-dyskretnych. Rozważania zilustrowano przykładami liczbowymi.
The problem of asymptotic stability of continuous-discrete linear systems is considered. Improved computer method for stability analysis of the Fornasini-Marchesini type model is given. The method proposed can be applied to stability analysis of the other type models of continuous-discrete linear systems. The considerations are illustrated by numerical examples.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 566-575
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bayesian estimation of a shift point in a two-phase regression model
Bayesowska estymacja punktu zmiany w modelu regresji dwufazowej
Autorzy:
Jadamus-Hacura, Maria
Powiązania:
https://bibliotekanauki.pl/articles/904616.pdf
Data publikacji:
1997
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
two-phase-regression model
changing linear model
detection a break point
Bayesian estimation
test for structural stability
Opis:
The purpose of this paper is to carry out the Bayesian analysis of a two-phase regression model with an unknown break point. Essentially, there are two problems associated with a changing linear model. Firstly, one will want to be able to detect a break point, and secondly, assuming that a change has occurred, to be able to estimate it as well as other parameters of the model. Much of the classical testing procedure for the parameter constancy (as the Chow test, CUSUM, CUSUMSQ, tests and their modifications, predictions tests for structural stability) indicate only that the regression coefficients shifted, without specifying a break point. In this study we adopt the Bayesian methodology of investigating structural changes in regression models. The break point is identified as the largest posterior mass density, the peak of the posterior discrete distribution of a break point. It seems to work well with artificially generated data. The Bayesian framework also seems to be promising for extending the analysis of a single break to that of multiple breaks.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 1997, 141
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 102

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