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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:
Lyapunov functional for a linear system with two delays both retarded and neutral type
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229843.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Lyapunov functional
time delay system
LTI system
Opis:
The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:
Archives of Control Sciences; 2010, 20, 1; 89-98
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parametric optimization of a neutral system with two delays and PD-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229662.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
parametric optimization
Lyapunov functional
time delay system
neutral system
Opis:
In this paper a parametric optimization problem for a linear neutral system with two delays with an integral quadratic performance index is formulated and solved. The method of computing of a performance index value bases on determining of a Lyapunov functional defined on a state space such that its value for an initial state is equal to a performance index value. In the paper a form of a Lyapunov functional is assumed and a method of computing its coefficients is given. An example illustrating the application of discussed theory is presented. It concerns the system with a PD-controller designed to control a plant with two delays both retarded and neutral type. For such system a value of considered performance index is determined.
Źródło:
Archives of Control Sciences; 2013, 23, 2; 131-143
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parametric optimization of neutral linear system with two delays with P-controller
Autorzy:
Duda, J.
Powiązania:
https://bibliotekanauki.pl/articles/229977.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
parametric optimization
Lyapunov functional
time delay system
neutral system
Opis:
In the paper the problem of parametric optimization of a linear neutral system with two delays accomplished with respect to the integral quadratic performance index is formulated and solved. A method of computing the value of performance index relies on determining such a Lyapunov functional defined on the state space that its value for the initial state is equal to that of performance index. In the paper the form of Lyapunov functional is assumed and a method of computing its coefficients is given. An example illustrating the application of the theory discussed is presented. It concerns a system with the P-controller designed to control a plant with two delays both retarded and neutral type. For such a system the value of the considered performance index is determined.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 363-372
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques
Autorzy:
Kumar, Sanjay
Singh, Chaman
Prasad, Sada Nand
Shekhar, Chandra
Aggarwal, Rajiv
Powiązania:
https://bibliotekanauki.pl/articles/229902.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional-order chaotic system
chaos synchronization
Rabinovich-Fabrikant system
Lyapunov exponents
Opis:
In this research article, we present the concepts of fractional-order dynamical systems and synchronization methodologies of fractional order chaotic dynamical systems using slide mode control techniques. We have analysed the different phase portraits and time-series graphs of fractional order Rabinovich-Fabrikant systems. We have obtained that the lowest dimension of Rabinovich-Fabrikant system is 2.85 through utilization of the fractional calculus and computational simulation. Bifurcation diagrams and Lyapunov exponents of fractional order Rabinovich-Fabrikant system to justify the chaos in the systems. Synchronization of two identical fractional-order chaotic Rabinovich-Fabrikant systems are achieved using sliding mode control methodology.
Źródło:
Archives of Control Sciences; 2019, 29, 2; 307-322
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global rational stabilization of a class of nonlinear time-delay systems
Autorzy:
Echi, Nadhem
Ghanmi, Boulbaba
Powiązania:
https://bibliotekanauki.pl/articles/229187.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
rational stability
delay system
nonlinear observer
Lyapunov functional
Opis:
The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under delay dependent conditions, we suggest a nonlinear time-delay observer to estimate the system states, a state feedback controller and the observer-based controller rational stability is provided. Moreover, global rational stability using output feedback is given. Finally, the study presents simulation findings to show the feasibility of the suggested strategy.
Źródło:
Archives of Control Sciences; 2019, 29, 2; 259-278
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synchronization of neuronal bursting using backstepping control with recursive feedback
Autorzy:
Rasappan, Suresh
Powiązania:
https://bibliotekanauki.pl/articles/229893.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Hindmarsh-Rose neuronal bursting system
chaos
synchronization
backstepping control
Lyapunov
stability
Opis:
J. L. Hindmarsh, R. M. Rose introduced the concept of neuronal burst. In this paper, synchronization is investigated for the construction of a model of neuronal burst using backstepping control with recursive feedback. Synchronization for a model of neuronal bursting system is established using Lyapunov stability theory. The backstepping scheme is a recursive procedure that links the choice of a Lyapunov function with the design of a controller. The backstepping control method is effective and convenient to synchronize identical systems. Numerical simulations are furnished to illustrate and validate the synchronization result derived in this paper.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 617-642
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ℎ-Stability of set differential equations
Autorzy:
Boukthir, Sihem
Ghanmi, Boulbaba
Basdouri, Imed
Ichalal, Dalil
Lerbet, Jean
Powiązania:
https://bibliotekanauki.pl/articles/27324010.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
ℎ-stability
Lyapunov theory
set-valued differential
generalized Hukuhara derivative
perturbed system
cascaded systems
Opis:
In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 761--788
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis, adaptive control and circuit simulation of a novel finance system with dissaving
Autorzy:
Tacha, O. I.
Volos, C. K.
Stouboulos, I. N.
Kyprianidis, I. M.
Powiązania:
https://bibliotekanauki.pl/articles/229959.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
chaotic finance system
dissaving
bifurcation diagram
Lyapunov exponent
phase portrait
adaptive control
nonlinear circuit
Opis:
In this paper a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities with negative saving term, which is called ‘dissaving’ is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using wellknown simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system’s behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.
Źródło:
Archives of Control Sciences; 2016, 26, 1; 95-115
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust output feedback Model Predictive Control design
Autorzy:
Vesely, V.
Rosinova, D.
Powiązania:
https://bibliotekanauki.pl/articles/229853.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
model predictive control
robust control
parameter dependent quadratic stability
Lyapunov functional
polytopic system
decentralized control
Opis:
The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic systems without constraints. The new robust BMI stability condition for given predictive and control horizon is derived which guarantees the parameter dependent quadratic stability and guaranteed cost.The proposed condition is appropriate for centralized and decentralized control design, as illustrated on example.
Źródło:
Archives of Control Sciences; 2010, 20, 3; 303-316
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 17

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