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Wyświetlanie 1-15 z 17
Tytuł:
Lyapunov matrices approach to the parametric optimization of a neutral system
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229256.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
neutral system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the neutral system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2016, 26, 1; 81-93
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov matrices approach to the parametric optimization of a system with two delays and a PD-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229274.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
neutral system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper the parametric optimization problem for a linear system with two delays and a PD-controller is presented. In the parametric optimization problem the quadratic performance index is considered. The value of the quadratic index of quality is calculated due to the Lyapunov functional and is equal to the value of that functional for the initial function of the neutral system with two delays. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2018, 28, 4; 585-600
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov matrices approach to the parametric optimization of time-delay systems
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229179.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of timedelay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2015, 25, 3; 279-288
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Lyapunov functional for a system with both lumped and distributed delay
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229640.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix. The method of determination of the Lyapunov matrix for time delay system with both lumped and distributed delay is presented. It is given the example illustrating the method.
Źródło:
Archives of Control Sciences; 2017, 27, 4; 527-540
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The parametric optimization of a system with two delays and a PI controller
Autorzy:
Duda, Jozef
Powiązania:
https://bibliotekanauki.pl/articles/229717.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. In the paper is presented the example of a scalar system with two delays and a PI controller.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 667-686
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229975.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-delay system
Lyapunov matrix
Lyapunov functional
Opis:
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the Lyapunov functional for the initial function of time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.
Źródło:
Archives of Control Sciences; 2016, 26, 3; 367-381
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Iterative Model Reduction of Large State-Space Systems
Autorzy:
Huhtanen, M.
Powiązania:
https://bibliotekanauki.pl/articles/908302.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
redukcja modeli
metoda iteracyjna
równanie macierzowe Lyapunova
kondycjonowanie
operator Hankela
model reduction
iterative methods
Lyapunov matrix equations
Hankel operator
preconditioning
Hankel singular values
Opis:
There exist criteria for reducing the order of a large state-space model based on the accuracy of the approximate solutions to the Lyapunov matrix equations and the Hankel operator. Iterative solution techniques for the Lyapunov equations with the Arnoldi method have been proposed in a number of papers. In this paper we derive error bounds for approximations to the solutions to the Lyapunov equations as well as for the Hankel operator that indicate how to precondition while solving these equations iteratively.These bounds show that the error depends on three terms: First, on the amount of invariance of the constructed subspace for A, second, on the eigenvalues of A at least in proportion to 1/|Re l|, and third, under a certain condition on projectors P_l=W_lW_l* ,on the factor min_{X in C^{l x p}}|| B-( l I-A)W_lX|| for l on a path G surrounding the spectrum of A. Consequently, in order to compensate for those parts of the spectrum where 1/|Re l| is not small, preconditioning or an inverse iteration is needed to keep the sizes of the matrices used in construction of a reduced-order model moderate.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 245-263
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based stability criterion for uncertain neutral-type neural networks with discrete and distributed delays
Autorzy:
Baskar, P.
Padmanabhan, S.
Syed Ali, M.
Powiązania:
https://bibliotekanauki.pl/articles/2049954.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability analysis
neutral networks
Lyapunov method
Linear Matrix Inequality
Opis:
This paper studies the problem of robust stability analysis for uncertain neutral-type neural networks with discrete and distributed delays. By constructing an appropriate Lyapunov- Krasovskii functional, new delay-dependent criteria are obtained. We utilized the free-weighting matrices approach and bounding lemmas to estimate the derivative of the Lyapunov-Krasovskii functional. The stability criterion are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
Źródło:
Control and Cybernetics; 2020, 49, 1; 77-97
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Criteria for Stability of Uncertain Linear Systems With Time-Varying Delay
Autorzy:
Han, Q. L.
Gu, K.
Powiązania:
https://bibliotekanauki.pl/articles/911198.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność
niepewność
funkcja Lapunowa
stability
time-varying delay
uncertainty
linear matrix inequalities
Lyapunov functional
Opis:
This paper focuses on the stability problem for uncertain linear systems with time-varying delays. Based on a discretized Lyapunov functional approach, delay-dependent criteria that are formulated in terms of linear matrix inequalities are proposed to guarantee asymptotic stability for such systems. Numerical examples are also included to show the effectiveness of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 205-225
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based control design for linear systems with distributed time delays
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229820.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear matrix inequality
systems with distributed time delays
Lyapunov-Krasovskii functional
state control
asymptotic stability
Opis:
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 217-231
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reproducing Kernels and Riccati Equations
Autorzy:
Dym, H.
Powiązania:
https://bibliotekanauki.pl/articles/908318.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie różniczkowe Riccatiego
jądro reprodukujące
J-inner matrix valued functions
J-unitary matrix valued functions
Riccati equations
Lyapunov equations
reproducing kernel spaces
de Branges spaces
Opis:
The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 35-53
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Stability Interval of the Set of Linear System
Autorzy:
Mazakov, Talgat
Wójcik, Waldemar
Jomartova, Sholpan
Karymsakova, Nurgul
Ziyatbekova, Gulzat
Tursynbai, Aisulu
Powiązania:
https://bibliotekanauki.pl/articles/1844628.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
automatic control system
stability
matrix
minor
characteristic polynomial
Hurwitz criterion
Lienard-Shipard criterion of interval mathematics
Lyapunov function
Opis:
The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and LienardShipar interval criteria. Krylov, Leverier, and Leverier-Danilevsky algorithms are implemented for automated construction and analysis of the interval characteristic polynomial. The interval mathematics library was used while developing the software. The stability of the dynamic system described by linear ordinary differential equations is determined and based on the properties of the eigenvalues of the interval characteristic polynomial. On the basis of numerical calculations, the authors compare several methods of constructing the characteristic polynomial. The developed software that implements the introduced interval arithmetic operations can be used in the study of dynamic properties of automatic control systems, energy, economic and other non-linear systems.
Źródło:
International Journal of Electronics and Telecommunications; 2021, 67, 2; 155-161
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
T–S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
Autorzy:
Salcedo, José V.
Martínez, Miguel
García-Nieto, Sergio
Hilario, Adolfo
Powiązania:
https://bibliotekanauki.pl/articles/330030.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear matrix inequalities
Takagi–Suegno fuzzy system
fuzzy Lyapunov function
integral delayed Lyapunov function
nonparallel distributed fuzzy controller
generalised inescapable ellipsoids
liniowe nierówności macierzowe
model rozmyty Takagi-Sugeno
funkcja Lapunowa
Opis:
This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum ⋆-norm (upper bound of the 1-norm) for the T–S fuzzy system under persistent perturbations. The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 529-550
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observer-based fault estimation for linear systems with distributed time delay
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229173.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
adaptive fault estimation
distributed time delay systems
Lyapunov-Krasovskii functional
integral partitioning technique
time delay segmentation
linear matrix inequalities
Opis:
The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.
Źródło:
Archives of Control Sciences; 2013, 23, 2; 169-186
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:
Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:
https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 17

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