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Wyświetlanie 1-15 z 171
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:
Positive discrete-time linear Lyapunov systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/384257.pdf
Data publikacji:
2008
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
Lyapunov
positive
realization
Opis:
The notion of positive discrete-time Lyapunov system is introduced. Solution of the Lyapunov state equation is derived and necessary and sufficient conditions for the positivity of Lyapunov system are established. Different necessary and sufficient conditions for the asymptotic stability of the positive Lyapunov systems are given. Using the Kronecker product of matrices necessary and sufficient conditions for reachability and controllability of the positive Lyapunov systems are established. The considerations are illustrated by numerical example.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2008, 2, 3; 13-19
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy-Lyapunov based controller for a quadrocopter
Autorzy:
Kusznir, T.
Smoczek, J.
Powiązania:
https://bibliotekanauki.pl/articles/242206.pdf
Data publikacji:
2017
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
quadrocopter
fuzzy control
Lyapunov stability
Opis:
Quadrocopters are nonlinear and inherently unstable systems. To be able to account for the nonlinearities during more aggressive manoeuvres nonlinear control methods need to be utilized to obtain the desired position while at the same time guaranteeing stability. In the article, the quadrocopter dynamics is modelled using the Newton-Euler method. The propeller aerodynamics is modelled using a combination of momentum theory and blade element theory. There are two different control objectives; the 1st objective requires the quadrocopter to reach a desired attitude set point using, while the 2nd objective requires the quadrocopter to track an attitude trajectory. In both cases, Lyapunov stability criterion, in conjunction with LaSalle’s invariance principle, is used to guarantee the system becomes asymptotically stable. In the case of reaching the desired attitude set point, a direct Lyapunov control method is implemented with the control constants determined empirically. For the trajectory tracking, limited knowledge is assumed on the system dynamics and the Mamdani fuzzy controller is used with a rule base that satisfy the Lyapunov stability criterion. The fuzzy membership functions developed empirically and a centre of gravity defuzzification method is used. All simulations are done in MATLAB/Simulink. The results of the numerical simulation are presented in the article.
Źródło:
Journal of KONES; 2017, 24, 4; 125-132
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exponential stability results for variable delay difference equations
Autorzy:
Yankson, Ernest
Powiązania:
https://bibliotekanauki.pl/articles/1397336.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
exponential stability
Lyapunov functional
instability.
Opis:
Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation $x(n + 1) = a(n)x(n) + b(n)x(n − g(n))$ are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals. In addition, a criterion for the instability of the zero solution is established. The results in the paper generalizes some results in the literature.
Źródło:
Opuscula Mathematica; 2021, 41, 1; 145-155
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effective computation of the first Lyapunov quantities for a planar differential equation
Autorzy:
Gasull, A.
Prohens, R.
Powiązania:
https://bibliotekanauki.pl/articles/1339176.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Lyapunov quantities
weak focus
stability
Opis:
We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities $V_3$ and $V_5$ for a general smooth planar system.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 243-250
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of continuous-time positive switched systems with rank one difference
Autorzy:
Fornasini, E.
Valcher, M. E.
Powiązania:
https://bibliotekanauki.pl/articles/971053.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function
Opis:
Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
Źródło:
Control and Cybernetics; 2013, 42, 1; 47-62
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some constructions of Lyapunov function for linear extensions of dynamical systems
Autorzy:
Kulik, V.
Tkocz-Piszczek, E.
Powiązania:
https://bibliotekanauki.pl/articles/255758.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Lyapunov function
invariant manifold
invariant torus
Opis:
In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 399-409
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperchaos, adaptive control and synchronization of a novel 4-D hyperchaotic system with two quadratic nonlinearities
Autorzy:
Vaidyanathan, S.
Powiązania:
https://bibliotekanauki.pl/articles/229724.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
chaos
hyperchaos
control
synchronization
Lyapunov exponents
Opis:
This research work announces an eleven-term novel 4-D hyperchaotic system with two quadratic nonlinearities. We describe the qualitative properties of the novel 4-D hyperchaotic system and illustrate their phase portraits. We show that the novel 4-D hyperchaotic system has two unstable equilibrium points. The novel 4-D hyperchaotic system has the Lyapunov exponents L1 = 3.1575, L2 = 0.3035, L3 = 0 and L4 = −33.4180. The Kaplan-Yorke dimension of this novel hyperchaotic system is found as DKY = 3.1026. Since the sum of the Lyapunov exponents of the novel hyperchaotic system is negative, we deduce that the novel hyperchaotic system is dissipative. Next, an adaptive controller is designed to stabilize the novel 4-D hyperchaotic system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 4-D hyperchaotic systems with unknown system parameters. The adaptive control results are established using Lyapunov stability theory. MATLAB simulations are depicted to illustrate all the main results derived in this research work
Źródło:
Archives of Control Sciences; 2016, 26, 4; 471-495
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous subadditive processes and formulae for Lyapunov characteristic exponents
Autorzy:
Słomczyński, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/1311504.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Lyapunov exponents
subadditive processes
invariant measures
cocycles
Opis:
Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.
Źródło:
Annales Polonici Mathematici; 1995, 61, 2; 101-134
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lyapunov functional for a linear system with both lumped and distributed delay
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/205647.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Lyapunov functional
time delay system
LTI system
Opis:
The paper presents a method of determining the Lyapunov quadratic functional for linear tirne-invariant system with both lumped and distributed delay. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with both lumped and distributed delay. The method presented gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:
Control and Cybernetics; 2011, 40, 1; 73-90
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 171

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